Imaging spectrograph for interstellar shocks: a narrowband imaging payload for the far ultraviolet

Matthew Beasley; Catherine Boone; Nathaniel Cunningham; James Green; Erik Wilkinson

doi:10.1364/AO.43.004633

Applied Optics
Vol. 43,
Issue 24,
pp. 4633-4642
(2004)
•https://doi.org/10.1364/AO.43.004633

Imaging spectrograph for interstellar shocks: a narrowband imaging payload for the far ultraviolet

Matthew Beasley, Catherine Boone, Nathaniel Cunningham, James Green, and Erik Wilkinson

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Matthew Beasley, Catherine Boone, Nathaniel Cunningham, James Green, and Erik Wilkinson, "Imaging spectrograph for interstellar shocks: a narrowband imaging payload for the far ultraviolet," Appl. Opt. 43, 4633-4642 (2004)

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Abstract

We present an imaging spectrometer developed for narrowband imaging at 1035 Å with high (∼1-arc sec) spatial resolution over a modest field of view (∼5 arc min). The instrument is based on a conventional Gregorian telescope with aberration-corrected holographic rulings on the secondary optic. These aberration-correcting rulings enable stigmatic imaging in diffracted light with a minimum number of optical elements, thereby maintaining a high system efficiency. The capabilities of this instrument allow us to map the distribution of UV-emitting material in the hot (∼300,000 K) plasma from shocks in supernova remnants. Although this design is optimized for imaging near 1035 Å, the basic concept can be applied to provide narrowband imaging or long-slit imaging spectroscopy at any wavelength. In addition, a larger field of view is possible with a corresponding loss in spatial resolution.

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Spectrograph Parameter	Value
r	510 mm
r′	2018.1 mm
α	0 deg
β	5.12 deg
r _c	2145.4 mm
r _d	2160.2 mm
γ	-10.15 deg
δ	13.45 deg
Line density	875.4 mm
Optimized λ	1035 Å

Aberration Coefficient	Mechanical and Holographic Terms	Aberration
F ₀₀₀	M₀₀₀ = r + r′	Basic light path
F ₀₀₀	M₀₀₀ = r_c + r_d	Basic light path
F ₁₀₀	M₁₀₀ = -sin α - sin β	Grating equation
F ₁₀₀	H₁₀₀ = -sin γ - sin δ	Grating equation
F ₂₀₀	$M_{200} = \frac{\cos^{2} α}{r} + \frac{\cos^{2} β}{r'} - a_{20} (\cos α + \cos β)$	Spectral focus
F ₂₀₀	$H_{200} = \frac{{cos}^{2} γ}{r_{c}} - \frac{\cos^{2} δ}{r_{d}} - a_{20} (\cos γ - \cos δ)$	Spectral focus
F ₀₂₀	$M_{020} = \frac{1}{r} + \frac{1}{r'} - a_{02} (\cos α + \cos β)$	Astigmatism
F ₀₂₀	$H_{020} = \frac{1}{r_{c}} - \frac{1}{r_{d}} - a_{02} (\cos γ - \cos δ)$	Astigmatism
F ₃₀₀	$M_{300} = [\frac{T (r, α)}{r}] \sin α + [\frac{T (r', β)}{r'}] \sin β - 2 a_{30} (\cos α + \cos β)$	Type I coma
F ₃₀₀	$H_{300} = [\frac{T (r_{c}, γ)}{r_{c}}] \sin γ - [\frac{T (r_{d}, δ)}{r_{d}}] \sin δ - 2 a_{30} (\cos γ - \cos δ)$	Type I coma
	where
	$T (r, α) = \frac{\cos^{2} α}{r} - 2 a_{20} (\cos α)$	Characteristic groove density
	d = λ₀(sin δ^r - sin γ)^-1

Parameter	Value
Total focal length	6500 mm
Primary focal length	1500 mm
Primary eccentricity	1.0
Secondary focal length	414.375 mm
Secondary eccentricity	0.625
Plate scale	31.5 arc sec/mm
Back focal distance	200.0 mm

Spectrograph Parameter	Value
r	510 mm
r′	2018.1 mm
α	0 deg
β	5.12 deg
r _c	2145.4 mm
r _d	2160.2 mm
γ	-10.15 deg
δ	13.45 deg
Line density	875.4 mm
Optimized λ	1035 Å

Aberration Coefficient	Mechanical and Holographic Terms	Aberration
F ₀₀₀	M₀₀₀ = r + r′	Basic light path
F ₀₀₀	M₀₀₀ = r_c + r_d	Basic light path
F ₁₀₀	M₁₀₀ = -sin α - sin β	Grating equation
F ₁₀₀	H₁₀₀ = -sin γ - sin δ	Grating equation
F ₂₀₀	$M_{200} = \frac{\cos^{2} α}{r} + \frac{\cos^{2} β}{r'} - a_{20} (\cos α + \cos β)$	Spectral focus
F ₂₀₀	$H_{200} = \frac{{cos}^{2} γ}{r_{c}} - \frac{\cos^{2} δ}{r_{d}} - a_{20} (\cos γ - \cos δ)$	Spectral focus
F ₀₂₀	$M_{020} = \frac{1}{r} + \frac{1}{r'} - a_{02} (\cos α + \cos β)$	Astigmatism
F ₀₂₀	$H_{020} = \frac{1}{r_{c}} - \frac{1}{r_{d}} - a_{02} (\cos γ - \cos δ)$	Astigmatism
F ₃₀₀	$M_{300} = [\frac{T (r, α)}{r}] \sin α + [\frac{T (r', β)}{r'}] \sin β - 2 a_{30} (\cos α + \cos β)$	Type I coma
F ₃₀₀	$H_{300} = [\frac{T (r_{c}, γ)}{r_{c}}] \sin γ - [\frac{T (r_{d}, δ)}{r_{d}}] \sin δ - 2 a_{30} (\cos γ - \cos δ)$	Type I coma
	where
	$T (r, α) = \frac{\cos^{2} α}{r} - 2 a_{20} (\cos α)$	Characteristic groove density
	d = λ₀(sin δ^r - sin γ)^-1

Abstract

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Figures (10)

Tables (3)

Equations (10)

Applied Optics