Theoretical model of a subwavelength grating polarization beam splitter

Shuzo Masui; Shotaro Kadoya; Masaki Michihata; Satoru Takahashi

doi:10.1364/AO.405660

Applied Optics
Vol. 59,
Issue 30,
pp. 9469-9475
(2020)
•https://doi.org/10.1364/AO.405660

Theoretical model of a subwavelength grating polarization beam splitter

Shuzo Masui, Shotaro Kadoya, Masaki Michihata, and Satoru Takahashi

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Shuzo Masui, Shotaro Kadoya, Masaki Michihata, and Satoru Takahashi, "Theoretical model of a subwavelength grating polarization beam splitter," Appl. Opt. 59, 9469-9475 (2020)

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- Diffraction and Gratings
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About this Article
History
- Original Manuscript: September 3, 2020
- Revised Manuscript: September 30, 2020
- Manuscript Accepted: October 2, 2020
- Published: October 16, 2020

Abstract

This study presents a theoretical model of a subwavelength grating polarization beam splitter (SWGPBS) using a combination of the theory of thin-film interference and the effective medium theory for guided-mode resonance. The structural parameters of SWGPBSs at oblique incidence calculated by our theoretical models and electromagnetic wave simulation were in good agreement within the range of the predicted approximation error. Feasibility of the oblique incidence SWGPBSs was verified, and the physical limitations of the SWGPBSs were clarified. Because the design procedure of SWGPBSs was simplified with our theoretical analysis, the range of their applications can be expanded to other fields.

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	$θ_{1}$ ( $\deg$ )	$n_{1}$	$n_{2}$	$n_{3}$	$n_{T E}$	$n_{T M}$
Design A	45	1.0	2.2	1.5	1.77	1.30
Design B	56.31	1.0	1.8	1.5	1.53	1.30

Design		$Λ$ (nm)	$f$	$d$ (nm)	$R_{T E}$	$R_{T M}$	EXT (dB)
A	Theoretical	263	0.41	138	0.37	$1.50 10^{- 2}$	13.9
	Simulated	268	0.60	138	1.00	$5.93 10^{- 6}$	52.3
B	Theoretical	257	0.51	300	0.13	$1.80 10^{- 2}$	8.49
	Simulated	255	0.74	340	1.00	$3.25 10^{- 5}$	44.9

	EXT (dB)	Spectral Bandwidth (nm)	Angular Bandwidth (°)
Design A	$> 30$	$\sim 100$	$\sim 5$
Design A	$> 40$	$\sim 30$	$\sim 1.5$
Design B	$> 30$	$\sim 100$	$\sim 2.75$
Design B	$> 40$	$\sim 40$	$\sim 1.25$

	$θ_{1}$ ( $\deg$ )	$n_{1}$	$n_{2}$	$n_{3}$	$n_{T E}$	$n_{T M}$
Design A	45	1.0	2.2	1.5	1.77	1.30
Design B	56.31	1.0	1.8	1.5	1.53	1.30

Design		$Λ$ (nm)	$f$	$d$ (nm)	$R_{T E}$	$R_{T M}$	EXT (dB)
A	Theoretical	263	0.41	138	0.37	$1.50 10^{- 2}$	13.9
	Simulated	268	0.60	138	1.00	$5.93 10^{- 6}$	52.3
B	Theoretical	257	0.51	300	0.13	$1.80 10^{- 2}$	8.49
	Simulated	255	0.74	340	1.00	$3.25 10^{- 5}$	44.9

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