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Using the Lorentz Reciprocity Theorem with the Transfer Matrix Method in Python

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Abstract

We present a simple way to calculate and visualize far-field radiation patterns due to polarizable particles at the surface of complex multilayer materials by means of the Lorentz reciprocity theorem and the python Jupyter notebook.

© 2021 The Author(s)

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References

  • View by:

  1. S. J. Byrnes Multilayer optical calculations, 2016
  2. Y. Akimov and S. Sun, "Spacer-controlled emission of randomly oriented fluorophores enhanced with surface plasmon-polaritons," Physical Chemistry Chemical Physics, vol. 19, p. 8706–8714, 2017
    [Crossref]
  3. Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
    [Crossref]
  4. Y. Akimov, “Optical resonances in Kretschmann and Otto configurations,” Optical Letters, vol. 43, p. 1195–1198, 2018
    [Crossref]
  5. L. D. Landau Electrodynamics of continuous media, Oxford England: Butterworth-Heinemann, 1984
  6. T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

2018 (1)

Y. Akimov, “Optical resonances in Kretschmann and Otto configurations,” Optical Letters, vol. 43, p. 1195–1198, 2018
[Crossref]

2017 (2)

Y. Akimov and S. Sun, "Spacer-controlled emission of randomly oriented fluorophores enhanced with surface plasmon-polaritons," Physical Chemistry Chemical Physics, vol. 19, p. 8706–8714, 2017
[Crossref]

Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
[Crossref]

2016 (1)

S. J. Byrnes Multilayer optical calculations, 2016

Abdalla, S.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Akimov, Y.

Y. Akimov, “Optical resonances in Kretschmann and Otto configurations,” Optical Letters, vol. 43, p. 1195–1198, 2018
[Crossref]

Y. Akimov and S. Sun, "Spacer-controlled emission of randomly oriented fluorophores enhanced with surface plasmon-polaritons," Physical Chemistry Chemical Physics, vol. 19, p. 8706–8714, 2017
[Crossref]

Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
[Crossref]

Avila, D.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Bussonnier, M.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Byrnes, S. J.

S. J. Byrnes Multilayer optical calculations, 2016

Corlay, S.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Frederic, J.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Granger, B.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Grout, J.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Hamrick, J.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Ivanov, P.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Kelley, K.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Kluyver, T.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Landau, L. D.

L. D. Landau Electrodynamics of continuous media, Oxford England: Butterworth-Heinemann, 1984

Pam, M.E.

Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
[Crossref]

Pérez, F.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Ragan-Kelley, B.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Sun, S.

Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
[Crossref]

Y. Akimov and S. Sun, "Spacer-controlled emission of randomly oriented fluorophores enhanced with surface plasmon-polaritons," Physical Chemistry Chemical Physics, vol. 19, p. 8706–8714, 2017
[Crossref]

Willing, C.

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Multilayer optical calculations (1)

S. J. Byrnes Multilayer optical calculations, 2016

Optical Letters (1)

Y. Akimov, “Optical resonances in Kretschmann and Otto configurations,” Optical Letters, vol. 43, p. 1195–1198, 2018
[Crossref]

Physical Chemistry Chemical Physics (1)

Y. Akimov and S. Sun, "Spacer-controlled emission of randomly oriented fluorophores enhanced with surface plasmon-polaritons," Physical Chemistry Chemical Physics, vol. 19, p. 8706–8714, 2017
[Crossref]

Physical Review B (1)

Y. Akimov, M.E. Pam, and S. Sun, “Kretschmann-Raether configuration: Revision of the theory of resonant interaction,” Physical Review B, vol. 96, 155433, 2017
[Crossref]

Other (2)

L. D. Landau Electrodynamics of continuous media, Oxford England: Butterworth-Heinemann, 1984

T. Kluyver, B. Ragan-Kelley, F. Pérez, B. Granger, M. Bussonnier, J. Frederic, K. Kelley, J. Hamrick, J. Grout, S. Corlay, P. Ivanov, D. Avila, S. Abdalla, and C. WillingJ. development team, "Jupyter Notebooks - a publishing format for reproducible computational workflows," in Positioning and Power in Academic Publishing: Players, Agents and Agendas, 2016

Presentation Video


More Like This
Transfer Matrix Method for Kerker-type Scattering of Metasurface

Xia Zhang, Jing Li, John F. Donegan, and A. Louise Bradley
JW1A.5 CLEO: Applications and Technology (CLEO_AT) 2021

Image Forming Design and Analysis Using Python

Michael J. Hayford
120781G International Optical Design Conference (IODC) 2021

On the Application of the Transfer Matrix Method to Integrated Optics Simulations

Michaël Ménard and Andrew G. Kirk
JWB2 Integrated Photonics Research and Applications (IPRA) 2006

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