Design of a compact multispectral telescope consisting of a Cassegrain telescope and a concave elliptical grating

Najma Masoomi; Abdolnaser Zakery; Marzieh Afkhami

doi:10.1364/AO.502424

Applied Optics
Vol. 63,
Issue 9,
pp. 2195-2203
(2024)
•https://doi.org/10.1364/AO.502424

Design of a compact multispectral telescope consisting of a Cassegrain telescope and a concave elliptical grating

Najma Masoomi, Abdolnaser Zakery, and Marzieh Afkhami

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Najma Masoomi, Abdolnaser Zakery, and Marzieh Afkhami, "Design of a compact multispectral telescope consisting of a Cassegrain telescope and a concave elliptical grating," Appl. Opt. 63, 2195-2203 (2024)

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Abstract

In this paper we design a high-performance multispectral telescope with a concave elliptical grating for a field of view of 3° in the VNIR spectral range of 0.48–0.82 µm, at an altitude of 760 km from the ground, with total length of 140 mm, which has a small volume and a simple structure. The paper reports on the MTF, spot, and field curvature diagrams, which show that it can achieve spectral and spatial resolutions of 25 nm and 5.5 m, respectively, with good image quality (MTF value for all wavelengths is higher than 0.2 at Nyquist frequency of 217 cycles per mm) and has the least possible aberrations, without the need for any lenses.

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Data availability

The datasets used and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Value	Parameter
480–820	Working range (nm)
3°	Field of view (degrees)
7.61	$F$ -number
140	Total length (mm)
6	Schmidt lens thickness (mm)
$- 470$	Cassegrain mirror1 radius (mm)
$- 498$	Cassegrain mirror2 radius (mm)
135	Distance between 2 mirrors (mm)
115	Distance between grating and mirror2 (mm)
23	Distance between grating and slit (mm)
30	Line per mm of grating
320	Effective focal length (mm)
42	Entrance pupil diameter (mm)

Value	Parameter
480–820	Working range (nm)
3°	Field of view (degrees)
7.99	$F$ -number
215	Total length (mm)
6	Schmidt lens thickness (mm)
$- 470$	Cassegrain mirror1 radius (mm)
$- 498$	Cassegrain mirror1 radius (mm)
135	Distance between 2 mirrors (mm)
$- 28$	Convex grating radius (mm)
$- 47$	Concave mirror1 radius (mm)
$- 40$	Concave mirror2 radius (mm)
30	Line per mm of grating
357	Effective focal length (mm)
42	Entrance pupil diameter (mm)

Value (Elliptical Concave Grating)	Value (Convex Grating)	Parameter
0.24	0.12	MTF at 0.48 µm
0.31	0.15	MTF at 0.59 µm
0.28	0.14	MTF at 0.65 µm
0.2	0.1	MTF at 0.82 µm
0.50%	50%	Distortion
140	215	Total length (mm)

Field curvature (0–200)	Value $c$	Value $b$	Value $a$	Grating
23.5	0	0	0	Plane grating
25	$+ 1$	0	0	Convex grating
50	$- 1$	0	0	Concave grating
6	$- 1.73$	0.4	0.4	Elliptical concave grating

Parameter	Value
$δ λ$	25 nm
$W_{s}$	7 µm
$W_{p}$	2.3 µm
$Δ λ$	334 nm
$n$	100
$R_{f}$	2.5

Parameter	VALUE
$δ λ$	44 nm
$W_{s}$	20 µm
$W_{p}$	2.3 µm
$Δ λ$	334 nm
$n$	100
$R_{f}$	1.5

Abstract

Data availability

Cited By

Figures (12)

Tables (6)

Equations (7)

Applied Optics