Design of Dyson imaging spectrometers based on the Rowland circle concept

Carlos Montero-Orille; Xesús Prieto-Blanco; Héctor González-Núñez; Raúl de la Fuente

doi:10.1364/AO.50.006487

Design of Dyson imaging spectrometers based on the Rowland circle concept

Carlos Montero-Orille, Xesús Prieto-Blanco, Héctor González-Núñez, and Raúl de la Fuente

Applied Optics
Vol. 50,
Issue 35,
pp. 6487-6494
(2011)
•https://doi.org/10.1364/AO.50.006487

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Carlos Montero-Orille, Xesús Prieto-Blanco, Héctor González-Núñez, and Raúl de la Fuente, "Design of Dyson imaging spectrometers based on the Rowland circle concept," Appl. Opt. 50, 6487-6494 (2011)

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Abstract

We aim to show that Dyson imaging spectrometers can be easily designed by applying the concept of the Rowland circle to refracting surfaces. This allows us to conceive an analytical procedure that is based on the removal of astigmatism at two wavelengths. Following this procedure, high-optical-quality spectrometers can be designed even for high speeds. Root-mean-square spot radii less than $2.5 μm$ are obtained for speeds as high as $f / 1.5$ , slit lengths of $15 mm$ , and wavelength ranges of $0.4 - 1.7 μm$ . Design examples are presented for classical Dyson spectrometers in which the detector is glued to the glass plane surface and for spectrometers with an air gap between this surface and the image plane.

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Specifications and Design Parameters
Lens material	Fused silica	BK7	F2
F number		1.5
Slit length (mm)		15
Dispersion (nm/mm)		130
Design wavelength $λ_{a} (μm)$	0.49	0.48	0.46
Design wavelength $λ_{b} (μm)$		1.7
Lens radius (mm)	60.754	62.298	54.488
Grating radius (mm)	191.481	180.988	139.609
Groove density (lines/mm)	57.695	63.290	86.817
Image Quality
RMS spot size ( $μm$ )	$< 2.2$	$< 2.3$	$< 4.4$
100% ensquared energy ( $μm$ )	$< 7.9$	$< 8.1$	$< 15.1$
Smile^a ( $μm$ )	$< 0.01$	$< 0.012$	$< 0.052$
Keystone^b ( $μm$ )	$< 0.003$	$< 0.004$	$< 0.008$

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