Miniature anastigmatic spectrometer design with a concave toroidal mirror

Jianing Dong; He Chen; Yinchao Zhang; Siying Chen; Pan Guo

doi:10.1364/AO.55.001537

Applied Optics
Vol. 55,
Issue 7,
pp. 1537-1543
(2016)
•https://doi.org/10.1364/AO.55.001537

Miniature anastigmatic spectrometer design with a concave toroidal mirror

Jianing Dong, He Chen, Yinchao Zhang, Siying Chen, and Pan Guo

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Jianing Dong, He Chen, Yinchao Zhang, Siying Chen, and Pan Guo, "Miniature anastigmatic spectrometer design with a concave toroidal mirror," Appl. Opt. 55, 1537-1543 (2016)

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Table of Contents Category
- Optical Design and Fabrication
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: September 23, 2015
- Revised Manuscript: January 7, 2016
- Manuscript Accepted: January 13, 2016
- Published: February 25, 2016

Abstract

An advanced optical design for a low-cost and astigmatism-corrected spectrometer with a high resolution is presented. The theory and method of astigmatism correction are determined with the use of a concave toroidal mirror. The performances of a modified spectrometer and a traditional spectrometer are compared, and the analysis is verified. Experimentally, the limiting resolution of our spectrometer is 0.1 nm full width at half-maximum, as measured for 579.1 nm.

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Parameter	Value
Central wavelength (nm)	600
$r_{1} (mm)$	−180
$r_{2 s} (mm)$	−180
$r_{2 t} (mm)$	−194.4
$α_{1} / 2 (°)$	6.5
$α_{2} / 2 (°)$	9.5
$d$ (Lines/mm)	1800
$ϵ (°)$	42.5

	Collimating Mirror	Diffraction Grating	Focusing Mirror
$Δ R / mm$	$\pm 0.05$		$\pm 0.05$
$Δ d / mm$	$\pm 0.08$	$\pm 0.08$	$\pm 0.08$
$D_{x} / mm$	$\pm 0.1$	$\pm 0.1$	$\pm 0.1$
$D_{y} / mm$	$\pm 0.15$	$\pm 0.1$	$\pm 0.15$
$T_{x} / (°)$	$\pm 0.5$	$\pm 0.5$	$\pm 0.3$
$T_{y} / (°)$	$\pm 0.5$	$\pm 0.5$	$\pm 0.3$

Parameter	Value
Central wavelength (nm)	600
$r_{1} (mm)$	−180
$r_{2 s} (mm)$	−180
$r_{2 t} (mm)$	−194.4
$α_{1} / 2 (°)$	6.5
$α_{2} / 2 (°)$	9.5
$d$ (Lines/mm)	1800
$ϵ (°)$	42.5

	Collimating Mirror	Diffraction Grating	Focusing Mirror
$Δ R / mm$	$\pm 0.05$		$\pm 0.05$
$Δ d / mm$	$\pm 0.08$	$\pm 0.08$	$\pm 0.08$
$D_{x} / mm$	$\pm 0.1$	$\pm 0.1$	$\pm 0.1$
$D_{y} / mm$	$\pm 0.15$	$\pm 0.1$	$\pm 0.15$
$T_{x} / (°)$	$\pm 0.5$	$\pm 0.5$	$\pm 0.3$
$T_{y} / (°)$	$\pm 0.5$	$\pm 0.5$	$\pm 0.3$

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Equations (21)

Applied Optics