Abstract

A coupled dielectric-metal metasurface (CDMM) filter consisting of amorphous silicon (a-Si) rings and subwavelength holes in Au layer separated by a SiO2 layer is presented. The design parameters of the CDMM filter is numerically optimized to have a polarization independent peak transmittance of 0.55 at 1540 nm with a Full Width at Half Maximum (FWHM) of 10 nm. The filter also has a 100 nm quiet zone with ∼10−2 transmittance. A radiating two-oscillator model reveals the fundamental resonances in the filter which interfere to produce the electromagnetically induced transparency (EIT) like effect. Multipole expansion of the currents in the structure validates the fundamental resonances predicted by the two-oscillator model. The presented CDMM filter is robust to artifacts in device fabrication and has performances comparable to a conventional Fabry-Pérot filter. However, it is easier to be integrated in image sensors as the transmittance peak can be tuned by only changing the periodicity resulting in a planar structure with a fixed height.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

Full Article  |  PDF Article
More Like This
Ultrahigh-quality factor resonant dielectric metasurfaces based on hollow nanocuboids

J. F. Algorri, D. C. Zografopoulos, A. Ferraro, B. García-Cámara, R. Beccherelli, and J. M. Sánchez-Pena
Opt. Express 27(5) 6320-6330 (2019)

Analogue of electromagnetically induced transparency in square slotted silicon metasurfaces supporting bound states in the continuum

J. F. Algorri, F. Dell’Olio, P. Roldán-Varona, L. Rodríguez-Cobo, J. M. López-Higuera, J. M. Sánchez-Pena, V. Dmitriev, and D. C. Zografopoulos
Opt. Express 30(3) 4615-4630 (2022)

Analogue of electromagnetically induced transparency with high-Q factor in metal-dielectric metamaterials based on bright-bright mode coupling

Fengyan He, Bingxin Han, Xiangjun Li, Tingting Lang, Xufeng Jing, and Zhi Hong
Opt. Express 27(26) 37590-37600 (2019)

View More...

References

  • View by:
  • Article Order
  • Year
  • Author
  • Publication
  1. B. Schwarz, “LIDAR: Mapping the world in 3D,” Nat. Photonics 4(7), 429–430 (2010).
    [Crossref]
  2. Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.
  3. G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. A. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998 (2017).
    [Crossref]
  4. P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
    [Crossref]
  5. H. A. Macleod, Thin-Film Optical Filters, Fifth Edition (CRC, 2017).
  6. R. S. Weis and T. K. Gaylord, “Fabry–Perot/Šolc filter with distributed Bragg reflectors: a narrow-band electro-optically tunable spectral filter,” J. Opt. Soc. Am. A 5(9), 1565 (1988).
    [Crossref]
  7. J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.
  8. J. Lumeau, L. B. Glebov, and V. Smirnov, “Tunable narrowband filter based on a combination of Fabry-Perot etalon and volume Bragg grating,” Opt. Lett. 31(16), 2417 (2006).
    [Crossref]
  9. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
    [Crossref]
  10. S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
    [Crossref]
  11. P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
    [Crossref]
  12. Z. Vafapour and H. Alaei, “Achieving a High Q-Factor and Tunable Slow-Light via Classical Electromagnetically Induced Transparency (Cl-EIT) in Metamaterials,” Plasmonics 12(2), 479–488 (2017).
    [Crossref]
  13. G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
    [Crossref]
  14. R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
    [Crossref]
  15. R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
    [Crossref]
  16. M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
    [Crossref]
  17. Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
    [Crossref]
  18. J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
    [Crossref]
  19. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
    [Crossref]
  20. R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).
  21. Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
    [Crossref]
  22. Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
    [Crossref]
  23. J. F. Algorri, D. C. Zografopoulos, A. Ferraro, B. García-Cámara, R. Beccherelli, and J. M. Sánchez-Pena, “Ultrahigh-quality factor resonant dielectric metasurfaces based on hollow nanocuboids,” Opt. Express 27(5), 6320 (2019).
    [Crossref]
  24. A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
    [Crossref]
  25. Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
    [Crossref]
  26. T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
    [Crossref]
  27. V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
    [Crossref]
  28. A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
    [Crossref]
  29. V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
    [Crossref]
  30. M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
    [Crossref]
  31. B. Han, X. Li, C. Sui, J. Diao, X. Jing, and Z. Hong, “Analog of electromagnetically induced transparency in an E-shaped all-dielectric metasurface based on toroidal dipolar response,” Opt. Mater. Express 8(8), 2197 (2018).
    [Crossref]
  32. M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
    [Crossref]
  33. S.-D. Liu, Z.-X. Wang, W.-J. Wang, J.-D. Chen, and Z.-H. Chen, “High Q-factor with the excitation of anapole modes in dielectric split nanodisk arrays,” Opt. Express 25(19), 22375 (2017).
    [Crossref]
  34. M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
    [Crossref]
  35. R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
    [Crossref]
  36. L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
    [Crossref]
  37. C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
    [Crossref]
  38. F. He, B. Han, X. Li, T. Lang, X. Jing, and Z. Hong, “Analogue of electromagnetically induced transparency with high-Q factor in metal-dielectric metamaterials based on bright-bright mode coupling,” Opt. Express 27(26), 37590 (2019).
    [Crossref]
  39. H. Hemmati, P. Bootpakdeetam, and R. Magnusson, “Metamaterial polarizer providing principally unlimited extinction,” Opt. Lett. 44(22), 5630 (2019).
    [Crossref]
  40. M. A. van de Haar, J. van de Groep, B. J. Brenny, and A. Polman, “Controlling magnetic and electric dipole modes in hollow silicon nanocylinders,” Opt. Express 24(3), 2047–2064 (2016).
    [Crossref]
  41. P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
    [Crossref]
  42. I. H. Malitson, “Interspecimen Comparison of the Refractive Index of Fused Silica*,†,” J. Opt. Soc. Am. 55(10), 1205 (1965).
    [Crossref]
  43. D. T. Pierce and W. E. Spicer, “Electronic Structure of Amorphous Si from Photoemission and Optical Studies,” Phys. Rev. B 5(8), 3017–3029 (1972).
    [Crossref]
  44. J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
    [Crossref]
  45. P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
    [Crossref]
  46. X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
    [Crossref]
  47. S. A. Tretyakov, “Metasurfaces for general transformations of electromagnetic fields,” Philos. Trans. R. Soc., A 373(2049), 20140362 (2015).
    [Crossref]
  48. Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
    [Crossref]
  49. E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
    [Crossref]
  50. J. K. Knipp, “Quadrupole-Quadrupole Interatomic Forces,” Phys. Rev. 53(9), 734–745 (1938).
    [Crossref]

2019 (4)

2018 (7)

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

B. Han, X. Li, C. Sui, J. Diao, X. Jing, and Z. Hong, “Analog of electromagnetically induced transparency in an E-shaped all-dielectric metasurface based on toroidal dipolar response,” Opt. Mater. Express 8(8), 2197 (2018).
[Crossref]

M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref]

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

2017 (4)

G. M. Gibson, B. Sun, M. P. Edgar, D. B. Phillips, N. Hempler, G. T. Maker, G. P. A. Malcolm, and M. J. Padgett, “Real-time imaging of methane gas leaks using a single-pixel camera,” Opt. Express 25(4), 2998 (2017).
[Crossref]

Z. Vafapour and H. Alaei, “Achieving a High Q-Factor and Tunable Slow-Light via Classical Electromagnetically Induced Transparency (Cl-EIT) in Metamaterials,” Plasmonics 12(2), 479–488 (2017).
[Crossref]

S.-D. Liu, Z.-X. Wang, W.-J. Wang, J.-D. Chen, and Z.-H. Chen, “High Q-factor with the excitation of anapole modes in dielectric split nanodisk arrays,” Opt. Express 25(19), 22375 (2017).
[Crossref]

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

2016 (4)

C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
[Crossref]

M. A. van de Haar, J. van de Groep, B. J. Brenny, and A. Polman, “Controlling magnetic and electric dipole modes in hollow silicon nanocylinders,” Opt. Express 24(3), 2047–2064 (2016).
[Crossref]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

2015 (5)

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

S. A. Tretyakov, “Metasurfaces for general transformations of electromagnetic fields,” Philos. Trans. R. Soc., A 373(2049), 20140362 (2015).
[Crossref]

2014 (4)

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
[Crossref]

2013 (1)

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

2012 (2)

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

2011 (1)

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

2010 (2)

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

B. Schwarz, “LIDAR: Mapping the world in 3D,” Nat. Photonics 4(7), 429–430 (2010).
[Crossref]

2009 (3)

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

2008 (1)

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

2006 (1)

2005 (1)

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

1998 (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

1988 (1)

1972 (2)

P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

D. T. Pierce and W. E. Spicer, “Electronic Structure of Amorphous Si from Photoemission and Optical Studies,” Phys. Rev. B 5(8), 3017–3029 (1972).
[Crossref]

1965 (1)

1938 (1)

J. K. Knipp, “Quadrupole-Quadrupole Interatomic Forces,” Phys. Rev. 53(9), 734–745 (1938).
[Crossref]

Achanta, V.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Agarwal, G. S.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Alaei, H.

Z. Vafapour and H. Alaei, “Achieving a High Q-Factor and Tunable Slow-Light via Classical Electromagnetically Induced Transparency (Cl-EIT) in Metamaterials,” Plasmonics 12(2), 479–488 (2017).
[Crossref]

Algorri, J.

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Algorri, J. F.

Al-Naib, I. A. I.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Armghan, A.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Basharin, A. A.

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Beccherelli, R.

J. F. Algorri, D. C. Zografopoulos, A. Ferraro, B. García-Cámara, R. Beccherelli, and J. M. Sánchez-Pena, “Ultrahigh-quality factor resonant dielectric metasurfaces based on hollow nanocuboids,” Opt. Express 27(5), 6320 (2019).
[Crossref]

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Bettiol, A. A.

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

Bootpakdeetam, P.

Brenny, B. J.

Briggs, D. P.

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

Cao, W.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Che, B.-J.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Chen, H.

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

Chen, J.-D.

Chen, Z.-H.

Chiam, S.-Y.

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Cong, L.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

Cumming, D. R. S.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

Dayal, G.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

Dergachev, P. A.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Deshmukh, P.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Diao, J.

Dong, L.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Duttagupta, S. P.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Ebbesen, T. W.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Economou, E. N.

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Edgar, M. P.

Evlyukhin, A. B.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Fan, Y.

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

Fedotov, V. A.

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
[Crossref]

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Ferraro, A.

J. F. Algorri, D. C. Zografopoulos, A. Ferraro, B. García-Cámara, R. Beccherelli, and J. M. Sánchez-Pena, “Ultrahigh-quality factor resonant dielectric metasurfaces based on hollow nanocuboids,” Opt. Express 27(5), 6320 (2019).
[Crossref]

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Fleischhauer, M.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Fu, J.-H.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Furch, B.

Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.

Gao, J.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

García-Cámara, B.

J. F. Algorri, D. C. Zografopoulos, A. Ferraro, B. García-Cámara, R. Beccherelli, and J. M. Sánchez-Pena, “Ultrahigh-quality factor resonant dielectric metasurfaces based on hollow nanocuboids,” Opt. Express 27(5), 6320 (2019).
[Crossref]

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

García-Meca, C.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).

Gaylord, T. K.

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Gibson, G. M.

Giessen, H.

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

Glebov, A.

J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.

Glebov, L. B.

J. Lumeau, L. B. Glebov, and V. Smirnov, “Tunable narrowband filter based on a combination of Fabry-Perot etalon and volume Bragg grating,” Opt. Lett. 31(16), 2417 (2006).
[Crossref]

J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.

Gouton, P.

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

Grant, J.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

Gupta, A.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Gupta, M.

M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

Gurvitz, E. A.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Han, B.

Hao, D.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

He, F.

He, J.-N.

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

Hemmati, H.

Hempler, N.

Hentschel, M.

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

Hong, Z.

Hu, X.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Huang, Q.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Huang, Y.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Jain, A.

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

Jiao, Z.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Jing, X.

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

Kaelberer, T.

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Kafesaki, M.

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Kästel, J.

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

Kenney, M.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

Khardikov, V. V.

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

Kivshar, Y. S.

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

Knipp, J. K.

J. K. Knipp, “Quadrupole-Quadrupole Interatomic Forces,” Phys. Rev. 53(9), 734–745 (1938).
[Crossref]

Kong, W.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Koschny, T.

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Kravchenko, I. I.

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

Ladutenko, K. S.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Lang, T.

Lapray, P.-J.

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

Lederer, F.

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Li, H.

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

Li, X.

Li, Z.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Lippens, D.

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Liu, S.-D.

Liu, W.

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

Liu, Y.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Lumeau, J.

J. Lumeau, L. B. Glebov, and V. Smirnov, “Tunable narrowband filter based on a combination of Fabry-Perot etalon and volume Bragg grating,” Opt. Lett. 31(16), 2417 (2006).
[Crossref]

J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.

Luo, X.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Lutz, H.

Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.

Lv, H.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Macleod, H. A.

H. A. Macleod, Thin-Film Optical Filters, Fifth Edition (CRC, 2017).

Magnusson, R.

Maker, G. T.

Malcolm, G. P. A.

Malitson, I. H.

Manjappa, M.

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Martínez, A.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).

Meng, F.-Y.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Menzel, C.

C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
[Crossref]

Meyer, R.

Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.

Miroshnichenko, A. E.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Morandotti, R.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Ortuño, R.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).

Ozaki, T.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Padgett, M. J.

Palkhivala, S.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Papasimakis, N.

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Pertsch, T.

C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
[Crossref]

Phillips, D. B.

Pierce, D. T.

D. T. Pierce and W. E. Spicer, “Electronic Structure of Amorphous Si from Photoemission and Optical Studies,” Phys. Rev. B 5(8), 3017–3029 (1972).
[Crossref]

Polman, A.

Prabhu, S. S.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Pu, M.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Pusino, V.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

Qin, S.

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

Rana, G.

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Rockstuhl, C.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

Rodríguez-Fortuño, F. J.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).

Roy Chowdhury, D.

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Sánchez-Pena, J.

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Sánchez-Pena, J. M.

Savinov, V.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
[Crossref]

Schwarz, B.

B. Schwarz, “LIDAR: Mapping the world in 3D,” Nat. Photonics 4(7), 429–430 (2010).
[Crossref]

Shah, Y. D.

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

Shalin, A. S.

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Singh, R.

M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref]

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

Smirnov, V.

J. Lumeau, L. B. Glebov, and V. Smirnov, “Tunable narrowband filter based on a combination of Fabry-Perot etalon and volume Bragg grating,” Opt. Lett. 31(16), 2417 (2006).
[Crossref]

J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.

Sodnik, Z.

Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.

Song, Y.-L.

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

Soukoulis, C. M.

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Sperrhake, J.

C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
[Crossref]

Spicer, W. E.

D. T. Pierce and W. E. Spicer, “Electronic Structure of Amorphous Si from Photoemission and Optical Studies,” Phys. Rev. B 5(8), 3017–3029 (1972).
[Crossref]

Srivastava, Y. K.

M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref]

Sui, C.

Sun, B.

Tasolamprou, A. C.

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

Tassin, P.

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Taubert, R.

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

Thio, T.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Thomas, J.-B.

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

Tretyakov, S. A.

S. A. Tretyakov, “Metasurfaces for general transformations of electromagnetic fields,” Philos. Trans. R. Soc., A 373(2049), 20140362 (2015).
[Crossref]

Tsai, D. P.

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Tsilipakos, O.

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

Tuz, V. R.

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

Vafapour, Z.

Z. Vafapour and H. Alaei, “Achieving a High Q-Factor and Tunable Slow-Light via Classical Electromagnetically Induced Transparency (Cl-EIT) in Metamaterials,” Plasmonics 12(2), 479–488 (2017).
[Crossref]

Valentine, J.

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

van de Groep, J.

van de Haar, M. A.

Vergaz, R.

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Wan, M.-L.

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

Wang, C.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Wang, S.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

Wang, W.-J.

Wang, X.

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

Wang, Y.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Wang, Z.-X.

Wei, Z.

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

Weis, R. S.

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Wu, Q.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Xia, J.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Xu, N.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

Yang, G.-H.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Yang, Y.

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

Yuan, S.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Yuan, X.

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

Zeng, C.

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Zhang, F.

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

Zhang, J.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

Zhang, K.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Zhang, L.

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17(7), 5595 (2009).
[Crossref]

Zhang, S.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Zhang, T.

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

Zhang, W.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

Zhang, X.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Zhao, Q.

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

Zhao, R.

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

Zheludev, N. I.

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
[Crossref]

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Zhou, F.-Q.

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

Zhou, J.

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

Zhu, L.

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

Zografopoulos, D.

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Zografopoulos, D. C.

ACS Photonics (2)

Y. D. Shah, J. Grant, D. Hao, M. Kenney, V. Pusino, and D. R. S. Cumming, “Ultra-narrow Line Width Polarization-Insensitive Filter Using a Symmetry-Breaking Selective Plasmonic Metasurface,” ACS Photonics 5(2), 663–669 (2018).
[Crossref]

V. R. Tuz, V. V. Khardikov, and Y. S. Kivshar, “All-Dielectric Resonant Metasurfaces with a Strong Toroidal Response,” ACS Photonics 5(5), 1871–1876 (2018).
[Crossref]

Adv. Mater. (2)

M. Gupta, V. Savinov, N. Xu, L. Cong, G. Dayal, S. Wang, W. Zhang, N. I. Zheludev, and R. Singh, “Sharp Toroidal Resonances in Planar Terahertz Metasurfaces,” Adv. Mater. 28(37), 8206–8211 (2016).
[Crossref]

M. Gupta, Y. K. Srivastava, and R. Singh, “A Toroidal Metamaterial Switch,” Adv. Mater. 30(4), 1704845 (2018).
[Crossref]

Appl. Phys. Lett. (2)

R. Singh, I. A. I. Al-Naib, Y. Yang, D. Roy Chowdhury, W. Cao, C. Rockstuhl, T. Ozaki, R. Morandotti, and W. Zhang, “Observing metamaterial induced transparency in individual Fano resonators with broken symmetry,” Appl. Phys. Lett. 99(20), 201107 (2011).
[Crossref]

M. Manjappa, S.-Y. Chiam, L. Cong, A. A. Bettiol, W. Zhang, and R. Singh, “Tailoring the slow light behavior in terahertz metasurfaces,” Appl. Phys. Lett. 106(18), 181101 (2015).
[Crossref]

J. Appl. Phys. (1)

L. Zhu, F.-Y. Meng, L. Dong, Q. Wu, B.-J. Che, J. Gao, J.-H. Fu, K. Zhang, and G.-H. Yang, “Magnetic metamaterial analog of electromagnetically induced transparency and absorption,” J. Appl. Phys. 117(17), 17D146 (2015).
[Crossref]

J. Opt. (1)

J. Zhang, W. Liu, X. Yuan, and S. Qin, “Electromagnetically induced transparency-like optical responses in all-dielectric metamaterials,” J. Opt. 16(12), 125102 (2014).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

J. Phys. D: Appl. Phys. (1)

X. Hu, S. Yuan, A. Armghan, Y. Liu, Z. Jiao, H. Lv, C. Zeng, Y. Huang, Q. Huang, Y. Wang, and J. Xia, “Plasmon induced transparency and absorption in bright–bright mode coupling metamaterials: a radiating two-oscillator model analysis,” J. Phys. D: Appl. Phys. 50(2), 025301 (2017).
[Crossref]

Laser Photonics Rev. (2)

Z. Li, T. Zhang, Y. Wang, W. Kong, J. Zhang, Y. Huang, C. Wang, X. Li, M. Pu, and X. Luo, “Achromatic Broadband Super-Resolution Imaging by Super-Oscillatory Metasurface,” Laser Photonics Rev. 12(10), 1800064 (2018).
[Crossref]

E. A. Gurvitz, K. S. Ladutenko, P. A. Dergachev, A. B. Evlyukhin, A. E. Miroshnichenko, and A. S. Shalin, “The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics,” Laser Photonics Rev. 13(5), 1800266 (2019).
[Crossref]

Mater. Today (1)

Q. Zhao, J. Zhou, F. Zhang, and D. Lippens, “Mie resonance-based dielectric metamaterials,” Mater. Today 12(12), 60–69 (2009).
[Crossref]

Nano Lett. (1)

R. Taubert, M. Hentschel, J. Kästel, and H. Giessen, “Classical Analog of Electromagnetically Induced Absorption in Plasmonics,” Nano Lett. 12(3), 1367–1371 (2012).
[Crossref]

Nanomaterials (1)

J. Algorri, D. Zografopoulos, A. Ferraro, B. García-Cámara, R. Vergaz, R. Beccherelli, and J. Sánchez-Pena, “Anapole Modes in Hollow Nanocuboid Dielectric Metasurfaces for Refractometric Sensing,” Nanomaterials 9(1), 30 (2018).
[Crossref]

Nat. Commun. (1)

Y. Yang, I. I. Kravchenko, D. P. Briggs, and J. Valentine, “All-dielectric metasurface analogue of electromagnetically induced transparency,” Nat. Commun. 5(1), 5753 (2014).
[Crossref]

Nat. Photonics (1)

B. Schwarz, “LIDAR: Mapping the world in 3D,” Nat. Photonics 4(7), 429–430 (2010).
[Crossref]

Nature (1)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391(6668), 667–669 (1998).
[Crossref]

Opt. Express (6)

Opt. Lett. (2)

Opt. Mater. Express (1)

Philos. Trans. R. Soc., A (1)

S. A. Tretyakov, “Metasurfaces for general transformations of electromagnetic fields,” Philos. Trans. R. Soc., A 373(2049), 20140362 (2015).
[Crossref]

Phys. Lett. A (1)

M.-L. Wan, J.-N. He, Y.-L. Song, and F.-Q. Zhou, “Electromagnetically induced transparency and absorption in plasmonic metasurfaces based on near-field coupling,” Phys. Lett. A 379(30-31), 1791–1795 (2015).
[Crossref]

Phys. Rev. (1)

J. K. Knipp, “Quadrupole-Quadrupole Interatomic Forces,” Phys. Rev. 53(9), 734–745 (1938).
[Crossref]

Phys. Rev. A (1)

C. Menzel, J. Sperrhake, and T. Pertsch, “Efficient treatment of stacked metasurfaces for optimizing and enhancing the range of accessible optical functionalities,” Phys. Rev. A 93(6), 063832 (2016).
[Crossref]

Phys. Rev. Appl. (1)

G. Rana, P. Deshmukh, S. Palkhivala, A. Gupta, S. P. Duttagupta, S. S. Prabhu, V. Achanta, and G. S. Agarwal, “Quadrupole-Quadrupole Interactions to Control Plasmon-Induced Transparency,” Phys. Rev. Appl. 9(6), 064015 (2018).
[Crossref]

Phys. Rev. B (6)

R. Singh, C. Rockstuhl, F. Lederer, and W. Zhang, “Coupling between a dark and a bright eigenmode in a terahertz metamaterial,” Phys. Rev. B 79(8), 085111 (2009).
[Crossref]

V. Savinov, V. A. Fedotov, and N. I. Zheludev, “Toroidal dipolar excitation and macroscopic electromagnetic properties of metamaterials,” Phys. Rev. B 89(20), 205112 (2014).
[Crossref]

A. C. Tasolamprou, O. Tsilipakos, M. Kafesaki, C. M. Soukoulis, and E. N. Economou, “Toroidal eigenmodes in all-dielectric metamolecules,” Phys. Rev. B 94(20), 205433 (2016).
[Crossref]

Y. Fan, Z. Wei, H. Li, H. Chen, and C. M. Soukoulis, “Low-loss and high-Q planar metamaterial with toroidal moment,” Phys. Rev. B 87(11), 115417 (2013).
[Crossref]

P. B. Johnson and R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6(12), 4370–4379 (1972).
[Crossref]

D. T. Pierce and W. E. Spicer, “Electronic Structure of Amorphous Si from Photoemission and Optical Studies,” Phys. Rev. B 5(8), 3017–3029 (1972).
[Crossref]

Phys. Rev. Lett. (2)

P. Tassin, L. Zhang, R. Zhao, A. Jain, T. Koschny, and C. M. Soukoulis, “Electromagnetically Induced Transparency and Absorption in Metamaterials: The Radiating Two-Oscillator Model and Its Experimental Confirmation,” Phys. Rev. Lett. 109(18), 187401 (2012).
[Crossref]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-Induced Transparency in Metamaterials,” Phys. Rev. Lett. 101(4), 047401 (2008).
[Crossref]

Phys. Rev. X (1)

A. A. Basharin, M. Kafesaki, E. N. Economou, C. M. Soukoulis, V. A. Fedotov, V. Savinov, and N. I. Zheludev, “Dielectric Metamaterials with Toroidal Dipolar Response,” Phys. Rev. X 5(1), 011036 (2015).
[Crossref]

Plasmonics (1)

Z. Vafapour and H. Alaei, “Achieving a High Q-Factor and Tunable Slow-Light via Classical Electromagnetically Induced Transparency (Cl-EIT) in Metamaterials,” Plasmonics 12(2), 479–488 (2017).
[Crossref]

Rev. Mod. Phys. (1)

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: Optics in coherent media,” Rev. Mod. Phys. 77(2), 633–673 (2005).
[Crossref]

Science (1)

T. Kaelberer, V. A. Fedotov, N. Papasimakis, D. P. Tsai, and N. I. Zheludev, “Toroidal Dipolar Response in a Metamaterial,” Science 330(6010), 1510–1512 (2010).
[Crossref]

Sensors (1)

P.-J. Lapray, X. Wang, J.-B. Thomas, and P. Gouton, “Multispectral Filter Arrays: Recent Advances and Practical Implementation,” Sensors 14(11), 21626–21659 (2014).
[Crossref]

Other (4)

H. A. Macleod, Thin-Film Optical Filters, Fifth Edition (CRC, 2017).

Z. Sodnik, H. Lutz, B. Furch, and R. Meyer, “Optical satellite communications in Europe,” in Free-Space Laser Communication Technologies XXII, vol. 7587H. Hemmati, ed. (SPIE Press, 2010), p. 758705.

J. Lumeau, V. Smirnov, A. Glebov, and L. B. Glebov, “Ultra-narrow bandpass filters based on volume Bragg grating technologies,” in Photonics in the Transportation Industry: Auto to Aerospace III, vol. 7675A. A. Kazemi, B. C. Kress, and E. Y. Chan, eds. (SPIE Press, 2010), p. 76750H.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, and A. Martínez, “Extraordinary transmission and light confinement in subwavelength metallic films apertures,” Prog. Electromagn. Res. Symp. PIERS 2011 Marrakesh Marrakesh, 22–26 (2011).

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (12)
Fig. 1.
Fig. 1. Schematic of the proposed CDMM filter highlighting the key design parameters.

Download Full Size | PPT Slide | PDF

Fig. 2.
Fig. 2. Numerically simulated normal incidence transmittance of the designed CDMM filter under planewave illumination. The black curve represents $0^{\textrm {th}}$ order transmittance, while the red curve represents total transmittance including all diffraction orders present.

Download Full Size | PPT Slide | PDF

Fig. 3.
Fig. 3. Numerically simulated normal incidence absorbance of the designed CDMM filter for a normal incident plane wave illumination.

Download Full Size | PPT Slide | PDF

Fig. 4.
Fig. 4. Moduli of electric fields of the CDMM filter under a $y$ -polarized planewave illumination of 1540 nm wavelength. The white arrows, with lengths proportional to the magnitude, indicate the field components. (a) vertical cut in the center of the CDMM filter along $xz$ plane. Horizontal cuts along the (b) center of a-Si ring and (c) top of Au layer.

Download Full Size | PPT Slide | PDF

Fig. 5.
Fig. 5. Fitting the numerically obtained transmittance (black curve) with radiative coupled-oscillator model (red dots). The fit parameters are shown in the insert.

Download Full Size | PPT Slide | PDF

Fig. 6.
Fig. 6. Scattering efficiency of the CDMM filter. Modal decomposition of the currents in (a) the a-Si ring, (b) the Au layer. The black star locates the origin. a-Si has a sharp scattering at 1500 nm, Au layer has two scattering peaks, one at 1540 nm and one at 1629 nm.

Download Full Size | PPT Slide | PDF

Fig. 7.
Fig. 7. Scattering efficiency of the two constituents of the CDMM filter. Modal decomposition of the currents in (a) the a-Si ring , (b) the Au layer. The $\textrm {SiO}_{2}$ substrate is included in both cases as shown in the inserts. a-Si has two sharp scattering peaks at 1581 nm and 1609 nm, Au layer has a sharp scattering peak at 1514 nm and a broad scattering peak centered at 1671 nm.

Download Full Size | PPT Slide | PDF

Fig. 8.
Fig. 8. Moduli of electric fields of the CDMM filter at 1500 nm along (a) $xz$ plane and (b) $xy$ plane along the center of the a-Si ring. (c) The corresponding magnetic field moduli at the $xy$ plane. Moduli of electric fields of the CDMM filter at 1629 nm along (d) $xy$ plane along the center of the a-Si ring, (e) $xy$ plane along the center of the Au layer, and (f) $xz$ plane. The white arrows, with lengths proportional to the magnitude, indicate the field components. The normally incident planewave is polarized along $y$ -axis.

Download Full Size | PPT Slide | PDF

Fig. 9.
Fig. 9. Simulated Effects of (a) $Y$ offset and (b) $X$ offset between the a-Si ring and the Au layer of the CDMM filter on the transmittance. The normal incident planewave illumination is polarized along $y$ axis as shown in the insets.

Download Full Size | PPT Slide | PDF

Fig. 10.
Fig. 10. Robustness of the CDMM filter. Simulated effects of changes in the diameter of (a) a-Si ring and (b) subwavelength holes in Au layer of the CDMM filter on the transmittance. The normal incident planewave illumination is polarized along $y$ axis. The ideal diameters are represented by $D_1$ and $D_2$ respectively, while the values in red denote positive/negative changes in nm in the diameter.

Download Full Size | PPT Slide | PDF

Fig. 11.
Fig. 11. Simulated dependence of the CDMM filter transmittance on the angle of incidence for a TE polarized planewave illumination.

Download Full Size | PPT Slide | PDF

Fig. 12.
Fig. 12. Simulated dependence of the peak transmittance on the periodicity ( $\Lambda$ ) of the unit cell for a normal incidence y-polarized illumination. All other design parameters are fixed.

Download Full Size | PPT Slide | PDF

Equations (23)

Equations on this page are rendered with MathJax. Learn more.

x ¨ Si ( t ) + γ Si x ˙ Si ( t ) + ω Si 2 x Si ( t ) − Ω 2 e i φ x Au ( t ) = f 1 ( t )
x ¨ Au ( t ) + γ Au x ˙ Au ( t ) + ω Au 2 x Au ( t ) − Ω 2 e i φ x Si ( t ) = f 1 ( t )
X Si = Ω 2 + ( ω Au 2 − ω 2 − i ω γ Au ) ( ω Si 2 − ω 2 − i ω γ Si ) ( ω Au 2 − ω 2 − i ω γ Au ) − Ω 4 f ~
X Au = Ω 2 + ( ω Si 2 − ω 2 − i ω γ Si ) ( ω Si 2 − ω 2 − i ω γ Si ) ( ω Au 2 − ω 2 − i ω γ Au ) − Ω 4 f ~
σ e = − i n s ω [ 2 Ω 2 + ( ω Au 2 − ω 2 − i ω γ Au ) + ( ω Si 2 − ω 2 − i ω γ Si ) ( ω Si 2 − ω 2 − i ω γ Si ) ( ω Au 2 − ω 2 − i ω γ Au ) − Ω 4 ]
T = 2 2 + Z 0 σ e
J → ( r ) = i ω ( ε p a r t i c l e − ε h o s t ) E → ( r )
p j = i ω ∫ v J j d v
m j = 1 2 ∫ v ( r × J ) j d v
T j ( e ) = 1 10 ∫ v [ ( J ⋅ r ) r j − 2 r 2 J j ] d v
T j ( 2 e ) = 1 280 ∫ v [ 3 r 4 J j − 2 r 2 ( r ⋅ J ) r j ] d v
T j ( m ) = i ω 20 ∫ v r 2 ( r × J ) j d v
Q ¯ ¯ j k ( e ) = i ω ∫ v [ r j J k + r k J j − 2 3 δ j k ( r ⋅ J ) ] d v
Q ¯ ¯ j k ( m ) = 1 3 ∫ v [ ( r × J ) j r k + ( r × J ) k r j ] d v
T ¯ ¯ j k ( Q e ) = 1 42 ∫ v [ 4 ( r ⋅ J ) r j r k + 2 ( J ⋅ r ) r 2 δ j k − 5 r 2 ( r j J k + r k J j ) ] d v
T ¯ ¯ j k ( Q m ) = i ω 42 ∫ v r 2 [ r j ( r × J ) k + ( r × J ) j r k ] d v
P s c a t ( e ) = k 4 ε h o s t 12 π ε 0 2 c μ 0 ∑ j = 1 3 | p | j 2
P s c a t ( T e ) = k 4 ε h o s t 12 π ε 0 2 c μ 0 ∑ j = 1 3 | i k ε h o s t c T j ( e ) + i k 3 ε h o s t 2 c T j ( 2 e ) | 2
P s c a t ( m ) = k 4 ε h o s t 3 12 π ε 0 c ∑ j = 1 3 | m j + i k ε h o s t c T j ( m ) | 2
P s c a t ( Q e ) = k 6 ε h o s t 3 160 π ε 0 2 c μ 0 ∑ k = 1 3 ∑ j = 1 3 | Q ¯ ¯ j k ( e ) + i k ε h o s t c T ¯ ¯ j k ( Q e ) | 2
P s c a t ( Q m ) = k 6 ε h o s t 5 160 π ε 0 c ∑ k = 1 3 ∑ j = 1 3 | Q ¯ ¯ j k ( m ) + i k ε h o s t c T ¯ ¯ j k ( Q m ) | 2
σ s c a t = 2 μ 0 ε 0 ε h o s t P s c a t | E i n c | 2
Q s c a t = σ s c a t σ g e o m

Metrics