Analysis of deep-subwavelength Au and Ag slit transmittances at terahertz frequencies

J.-E. Park; F. L. Teixeira; B.-H. V. Borges

doi:10.1364/JOSAB.33.001355

Journal of the Optical Society of America B
Vol. 33,
Issue 7,
pp. 1355-1364
(2016)
•https://doi.org/10.1364/JOSAB.33.001355

Analysis of deep-subwavelength Au and Ag slit transmittances at terahertz frequencies

J.-E. Park, F. L. Teixeira, and B.-H. V. Borges

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J.-E. Park, F. L. Teixeira, and B.-H. V. Borges, "Analysis of deep-subwavelength Au and Ag slit transmittances at terahertz frequencies," J. Opt. Soc. Am. B 33, 1355-1364 (2016)

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About this Article
History
- Original Manuscript: February 17, 2016
- Revised Manuscript: April 11, 2016
- Manuscript Accepted: May 8, 2016
- Published: June 6, 2016

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Abstract

We provide a detailed characterization of the transmittance properties of subwavelength slit apertures on Ag and Au plates, as a function of the slit width and plate thickness, for frequencies ranging from 1.2 to 500 THz. As the method of analysis, we choose a mode-matching technique incorporating both discrete and continuum spectra because of its accuracy and suitability to this geometry. The transmittance behavior is shown to be strongly impacted by the variability of the electromagnetic bulk properties of Ag and Au across the terahertz range. The results obtained here constitute a useful compendium of reference data for subwavelength slit transmittances on metal plates at terahertz frequencies.

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Frequency (THz)	Ag	Au
1.2	$- 192760 - j 731720$	$- 79104 - j 405570$
10	$- 37433 - j 21558$	$- 21962 - j 22118$
30	$- 3738.3 - j 1487.3$	$- 3496.4 - j 1464.7$
50	$- 1470.8 - j 355.65$	$- 1383.2 - j 367.24$
100	$- 380.76 - j 48.957$	$- 361.45 - j 58.599$
200	$- 94.108 - j 7.567$	$- 90.549 - j 10.572$
500	$- 12.662 - j 1.0817$	$- 8.413 - j 1.414$

	$2 g = 0.01 λ_{0}$ (Fig. 6)		$2 g = 0.05 λ_{0}$ (Fig. 7)
Frequency (THz)	Gold	Silver	Gold	Silver
1.2	$1.0190 - j 0.0154$	$1.0144 - j 0.0110$	$1.0038 - j 0.0031$	$1.0029 - j 0.0022$
10	$1.0805 - j 0.0321$	$1.0716 - j 0.0185$	$1.0165 - j 0.0068$	$1.0147 - j 0.0039$
30	$1.2283 - j 0.0415$	$1.2225 - j 0.0387$	$1.0496 - j 0.0097$	$1.0482 - j 0.0090$
50	$1.3552 - j 0.0403$	$1.3470 - j 0.0360$	$1.0804 - j 0.0101$	$1.0784 - j 0.0090$
100	$1.6329 - j 0.0415$	$1.6213 - j 0.0324$	$1.1547 - j 0.0117$	$1.1514 - j 0.0091$
200	$2.1006 - j 0.0504$	$2.0861 - j 0.0343$	$1.2944 - j 0.0156$	$1.2900 - j 0.0106$
500	$4.5969 - j 0.4825$	$3.7341 - j 0.1496$	$1.9073 - j 0.0861$	$1.7367 - j 0.0321$
	$2 g = 0.1 λ_{0}$ (Fig. 8)		$2 g = 0.2 λ_{0}$ (Fig. 9)
Frequency (THz)	Gold	Silver	Gold	Silver
1.2	$1.0019 - j 0.0016$	$1.0014 - j 0.0011$	$1.0010 - j 0.0008$	$1.0007 - j 0.0006$
10	$1.0083 - j 0.0034$	$1.0074 - j 0.0020$	$1.0042 - j 0.0017$	$1.0037 - j 0.0010$
30	$1.0251 - j 0.0050$	$1.0244 - j 0.0046$	$1.0126 - j 0.0025$	$1.0123 - j 0.0023$
50	$1.0410 - j 0.0053$	$1.0400 - j 0.0047$	$1.0208 - j 0.0027$	$1.0202 - j 0.0024$
100	$1.0803 - j 0.0063$	$1.0785 - j 0.0049$	$1.0411 - j 0.0033$	$1.0402 - j 0.0026$
200	$1.1572 - j 0.0088$	$1.1547 - j 0.0059$	$1.0822 - j 0.0048$	$1.0809 - j 0.0032$
500	$1.5062 - j 0.0471$	$1.4107 - j 0.0182$	$1.2808 - j 0.0271$	$1.2257 - j 0.0105$

Frequency (THz)	Ag	Au
1.2	$- 192760 - j 731720$	$- 79104 - j 405570$
10	$- 37433 - j 21558$	$- 21962 - j 22118$
30	$- 3738.3 - j 1487.3$	$- 3496.4 - j 1464.7$
50	$- 1470.8 - j 355.65$	$- 1383.2 - j 367.24$
100	$- 380.76 - j 48.957$	$- 361.45 - j 58.599$
200	$- 94.108 - j 7.567$	$- 90.549 - j 10.572$
500	$- 12.662 - j 1.0817$	$- 8.413 - j 1.414$

	$2 g = 0.01 λ_{0}$ (Fig. 6)		$2 g = 0.05 λ_{0}$ (Fig. 7)
Frequency (THz)	Gold	Silver	Gold	Silver
1.2	$1.0190 - j 0.0154$	$1.0144 - j 0.0110$	$1.0038 - j 0.0031$	$1.0029 - j 0.0022$
10	$1.0805 - j 0.0321$	$1.0716 - j 0.0185$	$1.0165 - j 0.0068$	$1.0147 - j 0.0039$
30	$1.2283 - j 0.0415$	$1.2225 - j 0.0387$	$1.0496 - j 0.0097$	$1.0482 - j 0.0090$
50	$1.3552 - j 0.0403$	$1.3470 - j 0.0360$	$1.0804 - j 0.0101$	$1.0784 - j 0.0090$
100	$1.6329 - j 0.0415$	$1.6213 - j 0.0324$	$1.1547 - j 0.0117$	$1.1514 - j 0.0091$
200	$2.1006 - j 0.0504$	$2.0861 - j 0.0343$	$1.2944 - j 0.0156$	$1.2900 - j 0.0106$
500	$4.5969 - j 0.4825$	$3.7341 - j 0.1496$	$1.9073 - j 0.0861$	$1.7367 - j 0.0321$
	$2 g = 0.1 λ_{0}$ (Fig. 8)		$2 g = 0.2 λ_{0}$ (Fig. 9)
Frequency (THz)	Gold	Silver	Gold	Silver
1.2	$1.0019 - j 0.0016$	$1.0014 - j 0.0011$	$1.0010 - j 0.0008$	$1.0007 - j 0.0006$
10	$1.0083 - j 0.0034$	$1.0074 - j 0.0020$	$1.0042 - j 0.0017$	$1.0037 - j 0.0010$
30	$1.0251 - j 0.0050$	$1.0244 - j 0.0046$	$1.0126 - j 0.0025$	$1.0123 - j 0.0023$
50	$1.0410 - j 0.0053$	$1.0400 - j 0.0047$	$1.0208 - j 0.0027$	$1.0202 - j 0.0024$
100	$1.0803 - j 0.0063$	$1.0785 - j 0.0049$	$1.0411 - j 0.0033$	$1.0402 - j 0.0026$
200	$1.1572 - j 0.0088$	$1.1547 - j 0.0059$	$1.0822 - j 0.0048$	$1.0809 - j 0.0032$
500	$1.5062 - j 0.0471$	$1.4107 - j 0.0182$	$1.2808 - j 0.0271$	$1.2257 - j 0.0105$

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Equations (14)

Journal of the Optical Society of America B