Thickness optimization algorithm to improve multilayer diffractive optical elements performance

Victor Laborde; Jérôme Loicq; Jérôme Loicq; Juriy Hastanin; Serge Habraken

doi:10.1364/AO.474107

Applied Optics
Vol. 62,
Issue 3,
pp. 836-843
(2023)
•https://doi.org/10.1364/AO.474107

Thickness optimization algorithm to improve multilayer diffractive optical elements performance

Victor Laborde, Jérôme Loicq, Juriy Hastanin, and Serge Habraken

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Victor Laborde, Jérôme Loicq, Juriy Hastanin, and Serge Habraken, "Thickness optimization algorithm to improve multilayer diffractive optical elements performance," Appl. Opt. 62, 836-843 (2023)

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Related Topics
Table of Contents Category
- Diffraction and Gratings
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.

About this Article
History
- Original Manuscript: August 25, 2022
- Revised Manuscript: December 12, 2022
- Manuscript Accepted: December 19, 2022
- Published: January 20, 2023

Abstract

The diffractive zone thicknesses of conventional diffractive optical elements (DOEs) are generally obtained using the thin element approximation (TEA). However, the TEA yields inaccurate results in the case of thick multilayer DOEs (MLDOEs). The extended scalar theory (EST) is an alternative thickness optimization method that depends on the diffractive order and the optimization wavelength. We developed an algorithm to research suitable EST input parameters. It combines ray-tracing and Fourier optics to provide a performance estimate for each EST parameter pair. The resulting “best” MLDOE designs for three different material combinations are analyzed using rigorous finite-difference time-domain. Compared to the TEA, the proposed algorithm can provide performing zone thicknesses.

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No data were generated or analyzed in the presented research.

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MLDOE	$p_{1}$	$p_{2}$	$λ_{o p t}$	$H_{1}^{E S T} (T_{1})$	$H_{1}^{E S T} (T_{10})$	$H_{1}^{T E A}$	$H_{2}^{E S T} (T_{1})$	$H_{2}^{E S T} (T_{10})$	$H_{2}^{T E A}$	PSR
Unit	-	-	µm	µm	µm	µm	µm	µm	µm	%
IRG24-air-IRG27	−14	15	5.7	60	57	262	64	60	297	74
IRG24-IRG27-AgCl	−8	9	5.7	247	237	255	110	112	115	95
ZnS-air-Ge	−15	16	6.8	81	76	121	36	35	52	91

MLDOE	$p_{1}$	$p_{2}$	$λ_{o p t}$	$H_{1}^{E S T} (T_{1})$	$H_{1}^{E S T} (T_{10})$	$H_{1}^{T E A}$	$H_{2}^{E S T} (T_{1})$	$H_{2}^{E S T} (T_{10})$	$H_{2}^{T E A}$	PSR
Unit	-	-	µm	µm	µm	µm	µm	µm	µm	%
IRG24-air-IRG27	−39	40	11	260	144	262	264	151	297	1.8
IRG24-IRG27-AgCl	−13	14	4	253	242	255	115	118	115	93
ZnS-air-Ge	−19	20	8	124	106	121	53	50	52	40

MLDOE	$p_{1}$	$p_{2}$	$λ_{o p t}$	$H_{1}^{E S T} (T_{1})$	$H_{1}^{E S T} (T_{10})$	$H_{1}^{T E A}$	$H_{2}^{E S T} (T_{1})$	$H_{2}^{E S T} (T_{10})$	$H_{2}^{T E A}$	PSR
Unit	-	-	µm	µm	µm	µm	µm	µm	µm	%
IRG24-air-IRG27	−14	15	5.7	60	57	262	64	60	297	74
IRG24-IRG27-AgCl	−8	9	5.7	247	237	255	110	112	115	95
ZnS-air-Ge	−15	16	6.8	81	76	121	36	35	52	91

MLDOE	$p_{1}$	$p_{2}$	$λ_{o p t}$	$H_{1}^{E S T} (T_{1})$	$H_{1}^{E S T} (T_{10})$	$H_{1}^{T E A}$	$H_{2}^{E S T} (T_{1})$	$H_{2}^{E S T} (T_{10})$	$H_{2}^{T E A}$	PSR
Unit	-	-	µm	µm	µm	µm	µm	µm	µm	%
IRG24-air-IRG27	−39	40	11	260	144	262	264	151	297	1.8
IRG24-IRG27-AgCl	−13	14	4	253	242	255	115	118	115	93
ZnS-air-Ge	−19	20	8	124	106	121	53	50	52	40

Abstract

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Figures (9)

Tables (2)

Equations (8)

Applied Optics