Dispersion nonlinearity analysis of immersed gratings

Qian Tang; Li-Xin Guo

doi:10.1364/AO.57.001548

Applied Optics
Vol. 57,
Issue 7,
pp. 1548-1553
(2018)
•https://doi.org/10.1364/AO.57.001548

Dispersion nonlinearity analysis of immersed gratings

Qian Tang and Li-Xin Guo

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Qian Tang and Li-Xin Guo, "Dispersion nonlinearity analysis of immersed gratings," Appl. Opt. 57, 1548-1553 (2018)

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Abstract

An immersed grating is a novel diffraction grating with higher spectral resolution than the classical reflective grating given. Its diffractive surface is immersed in an optical material with high refractive index ( $n > 1$ ). This article provides a comprehensive discussion of the nonlinear dispersion of an immersed grating based on the analysis of its diffraction angle and angular dispersion.

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	Index Parameter
Spectrum band	1.5–2.5 μm
Order	$108 (λ_{C} = 2.5 μm) - 180 (λ_{C} = 1.5 μm)$
Free spectral range	$40 {cm}^{- 1}$
Blaze angle	63.5°
Spectral resolution	0.1 nm/pix
Pixel size	0.05 mm

	Ordinary Grating	Immersed Grating
Condition	Littrow	Littrow
Blaze angle	63.5°	63.5°
Area size ( $width \times length$ )	$110.17 mm \times 246.91 mm$	$32.06 mm \times 71.86 mm$
Resolution	$λ = 1.5 μm$ , $R = 318217$	$λ = 1.5 μm$ , $R = 318196$
Resolution	$λ = 2.5 μm$ , $R = 190930$	$λ = 2.5 μm$ , $R = 190917$
Focal	311.61 mm	90.69 mm

	Index Parameter
Spectrum band	1.5–2.5 μm
Order	$108 (λ_{C} = 2.5 μm) - 180 (λ_{C} = 1.5 μm)$
Free spectral range	$40 {cm}^{- 1}$
Blaze angle	63.5°
Spectral resolution	0.1 nm/pix
Pixel size	0.05 mm
Focal	90.69 mm

Order	$Δ λ$ (nm)	$λ_{C}$ (nm)	$d$ (mm)
108	$2487.56 - 2512.56 = 25$	2500	0.04389
135	$1992.03 - 2008.03 = 16$	2000	0.04369
180	$1495.51 - 1504.51 = 8$	1500	0.04332

	Index Parameter
Spectrum band	1.5–2.5 μm
Order	$108 (λ_{C} = 2.5 μm) - 180 (λ_{C} = 1.5 μm)$
Free spectral range	$40 {cm}^{- 1}$
Blaze angle	63.5°
Spectral resolution	0.1 nm/pix
Pixel size	0.05 mm

Abstract

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Tables (4)

Equations (9)

Applied Optics