Double Donut Schmidt Camera, a wide-field, large-aperture, and lightweight space telescope for the detection of ultrahigh energy cosmic rays

Paolo Sandri; Piero Mazzinghi; Vania Da Deppo

doi:10.1364/AO.57.003078

Applied Optics
Vol. 57,
Issue 12,
pp. 3078-3087
(2018)
•https://doi.org/10.1364/AO.57.003078

Double Donut Schmidt Camera, a wide-field, large-aperture, and lightweight space telescope for the detection of ultrahigh energy cosmic rays

Paolo Sandri, Piero Mazzinghi, and Vania Da Deppo

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Paolo Sandri, Piero Mazzinghi, and Vania Da Deppo, "Double Donut Schmidt Camera, a wide-field, large-aperture, and lightweight space telescope for the detection of ultrahigh energy cosmic rays," Appl. Opt. 57, 3078-3087 (2018)

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Abstract

A wide-field, large-aperture, and lightweight Schmidt configuration has been studied for a space mission proposal named Extreme Universe Space Observatory free flyer (EUSO-FF). EUSO-FF will be devoted to the study of ultrahigh energy cosmic rays, i.e., with energy $> 5 \times 10^{19} eV$ , through the detection of UV fluorescence light emitted by air showers in the Earth’s atmosphere. The proposed telescope has a field of view of about 50° and an entrance pupil diameter of 4.2 m. The mirror is deployable and segmented to fit the diameter of the launcher fairing; the corrector is a lightweight annular corona.

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Parameter	Value
Entrance pupil diameter	$> 4 m$
Geometrical vignetting factor	$> 60 %$
FoV	$> 50 °$
Angular resolution	${2.9}^{'} < iFoV < {5.7}^{'}$
Spectral range	337–391 nm
Polychromatic RMS size	3 mm

$N$	Value
Entrance pupil diameter	4.2 m
Focal length	2.94 m
F/#	0.7
Nadir angular resolution	${3.5}^{'}$
Nadir GSD	0.61 m
Corrector plate outer diameter	4.48 m
Corrector central hole $d$	0.65 m
Mirror diameter	7.5 m
Focal surface diameter	2.5 m

Parameter	Value
Mirror curvature radius	$\pm 0.1 mm$
Focal surface curvature radius	$\pm 1 mm$
Central thickness of the corrector	$\pm 0.2 mm$
Distance corrector to mirror	$\pm 0.2 mm$
Focal surface position	$\pm 0.2 mm$
Decenter of the corrector	$\pm 0.2 mm$
Tilt of the corrector	$\pm 3 arcmin$
Decenter of the mirror	$\pm 0.2 mm$
Tilt of the mirror	$\pm 2 arcmin$
RMS surface form irregularity of the corrector	$\pm 3.16 μm$ (10 fringes)
RMS surface form irregularity of the mirror	$\pm 0.79 μm$ (2.5 fringes)
Power of each surface of the corrector	25 fringes
Refractive index of the corrector	$\pm 0.001$
Abbe number of the corrector	$\pm 0.5 %$

Item	$σ_{rel}$ Roughness	ABg Model Parameters	$λ$ (nm)	TIS
Coated mirror	2 nm	$A = {2.22 \times 10}^{- 4}$ , $B = {7.87 \times 10}^{- 7}$ , $g = 2$	337	0.0098
AR coated surfaces of corrector plate in PMMA	5 nm	$A = {9.36 \times 10}^{- 5}$ , $B = {7.87 \times 10}^{- 7}$ , $g = 2$	337	0.0041

Parameter	Value
Entrance pupil diameter	$> 4 m$
Geometrical vignetting factor	$> 60 %$
FoV	$> 50 °$
Angular resolution	${2.9}^{'} < iFoV < {5.7}^{'}$
Spectral range	337–391 nm
Polychromatic RMS size	3 mm

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Equations (1)

Applied Optics