Evaluation of narcissus for multilayer diffractive optical elements in IR systems

Tao Liu; Qingfeng Cui; Liangliang Yang; Changxi Xue; Jian Sun

doi:10.1364/AO.50.006146

Applied Optics
Vol. 50,
Issue 33,
pp. 6146-6152
(2011)
•https://doi.org/10.1364/AO.50.006146

Evaluation of narcissus for multilayer diffractive optical elements in IR systems

Tao Liu, Qingfeng Cui, Liangliang Yang, Changxi Xue, and Jian Sun

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Tao Liu, Qingfeng Cui, Liangliang Yang, Changxi Xue, and Jian Sun, "Evaluation of narcissus for multilayer diffractive optical elements in IR systems," Appl. Opt. 50, 6146-6152 (2011)

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Abstract

The influence of narcissus effect for multilayer diffractive optical elements (MLDOEs) is evaluated from the viewpoint of diffraction efficiency and the narcissus intensity. A modified paraxial evaluation criterion for the reflected narcissus radiation of MLDOEs has been deduced. A practical $8 - 12 μm$ IR optical system designed with one two-layer diffractive element has been given to illustrate the distribution of incident narcissus energy among various diffraction orders in the waveband. The narcissus intensities of the two diffractive surfaces have been calculated for those diffraction orders that have the maximum diffraction efficiency. This method can be used in the process of evaluation and control of the narcissus influence in IR optical systems with MLDOEs.

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Entrance pupil diameter	$94 mm$
Cold stop diameter	32.86
System focal length	$188 mm$
Field ( $2 ω$ )	$5.6 °$
Focal plane array pixel pitch	$25 μm \times 2.5 μm$
Cold stop $F / #$	2.0

Design wavelengths pair $λ_{1}$ and $λ_{2} (μm)$	8.76 and 11.11
Height of the first HDE $H_{1} (μm)$	35.11
Height of the second HDE $H_{2} (μm)$	$- 79.65$

Number	Type	Radius	Thickness	Glass
0	Standard	Infinity	Infinity	AIR
1	Standard	345.4	10	ZnS
2	Standard	194.7	3	AIR
3	Standard	228.8	26	Zinc selenide
4	Standard	$- 375.7$	3.8	AIR
5	Standard	$- 311.2$	10	GAAS
6	Standard	$- 1493.7$	140	AIR
7	Standard	812.2	7.5	GE
8	Binary 2	Infinity	0	AIR
9	Binary 2	Infinity	9.5	ZNS
10	Standard	$- 829.4$	57.3	AIR
11	Standard	Infinity	2	Zinc selenide
12	Standard	Infinity	2.54	AIR
Stop	Standard	Infinity	63.5	AIR
Image	Standard	Infinity

Number	Type	Diffract Order	$R_{Norm}$	$A_{1}$
8	Binary 2	9.466	36	$- 69.752358$
9	Binary 2	$- 8.466$	36	$- 69.752358$

Surface Numbers	$y n_{1} i_{F}$	y
8	$- 6.38$	31.12
9	$- 8.22$	31.12

Number	Type	$a_{1}$
8	Diffractive surface	$- 9.51675 \times 10^{- 5}$
9	Diffractive surface	$- 9.51675 \times 10^{- 5}$

Diffraction Order	$- 32$	$- 31$	$- 30$	$- 29$	$- 28$	$- 27$	$- 26$
$λ_{\max}$	8.07	8.33	8.60	8.90	9.22	9.56	9.93
$y n_{1} i_{F} + N_{D}$	$- 8.65$	$- 8.66$	$- 8.66$	$- 8.67$	$- 8.67$	$- 8.68$	$- 8.68$
$N_{D}$	$- 2.27$	$- 2.28$	$- 2.28$	$- 2.29$	$- 2.29$	$- 2.30$	$- 2.30$
Diffraction Order	$- 25$	$- 24$	$- 23$	$- 22$
$λ_{\max}$	10.33	10.76	11.22	11.73
$y n_{1} i_{F} + N_{D}$	$- 8.69$	$- 8.70$	$- 8.71$	$- 8.71$
$N_{D}$	$- 2.31$	$- 2.32$	$- 2.33$	$- 2.33$

Diffraction Order	$- 43$	$- 42$	$- 41$	$- 40$	$- 39$	$- 38$	$- 37$	$- 36$
$λ_{\max}$	8.07	8.26	8.46	8.67	8.90	9.13	9.38	9.64
$y n_{1} i_{F} + N_{D}$	$- 11.23$	$- 11.23$	$- 11.24$	$- 11.24$	$- 11.24$	$- 11.25$	$- 11.25$	$- 11.26$
$N_{D}$	$- 3.01$	$- 3.02$	$- 3.02$	$- 3.02$	$- 3.03$	$- 3.03$	$- 3.03$	$- 3.04$
Diffraction Order	$- 35$	$- 34$	$- 33$	$- 32$	$- 31$	$- 30$	$- 29$
$λ_{\max}$	9.91	10.20	10.51	10.84	11.19	11.57	11.96
$y n_{1} i_{F} + N_{D}$	$- 11.26$	$- 11.26$	$- 11.27$	$- 11.28$	$- 11.28$	$- 11.29$	$- 11.29$
$N_{D}$	$- 3.04$	$- 3.04$	$- 3.05$	$- 3.06$	$- 3.06$	$- 3.07$	$- 3.07$

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Applied Optics