2014
DOI: 10.1364/josaa.31.002002
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On the instrument profile of slit spectrographs

Abstract: We derive an analytic expression for the instrument profile of a slit spectrograph, also known as the line spread function. While this problem is not new, our treatment relies on the operatorial approach to the description of diffractive optical systems, which provides a general framework for the analysis of the performance of slit spectrographs under different illumination conditions. Based on our results, we propose an approximation to the spectral resolution of slit spectrographs, taking into account diffra… Show more

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Cited by 8 publications
(8 citation statements)
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“…We find that the line profile is flat-topped, with negative h + 4 , as expected for the slitwidth-limited resolution provided by the medium slicer (see, e.g., Casini & de Wijn 2014). There is no clear trend with wavelength, and the average values for the Gauss-Hermite components in three wavelength regions are h + 3 = −0.005 ± 0.005 and h + 4 = −0.094 ± 0.014.…”
Section: Instrumental Line Profilesupporting
confidence: 76%
“…We find that the line profile is flat-topped, with negative h + 4 , as expected for the slitwidth-limited resolution provided by the medium slicer (see, e.g., Casini & de Wijn 2014). There is no clear trend with wavelength, and the average values for the Gauss-Hermite components in three wavelength regions are h + 3 = −0.005 ± 0.005 and h + 4 = −0.094 ± 0.014.…”
Section: Instrumental Line Profilesupporting
confidence: 76%
“…1, bottom-center panel) broaden the spectral profile of an output channel, thus leading to a higher crosstalk. In astronomical spectroscopy, this is analogous to the line spread function [34]. For astronomical sources, it is more critical to collect all the light at the output FPR than the spectral purity of the channels as long as the spectral leakage is < 30-40% (or crosstalk > 4−5 dB) and the line spread function is well-characterized.…”
Section: Awg Propertiesmentioning
confidence: 99%
“…In the spectral dimension, we must consider the effects of anamorphic magnification on the spectrograph point-spread function (Casini and de Wijn, 2014), which gets shortened in that dimension by the same factor: r = cos α/ cos β. This required increasing the widths of the camera lenses in order to mitigate vignetting for configurations with β < −α.…”
Section: Spectral Channelsmentioning
confidence: 99%
“…i.e., δβ R ≈ 2 δβ g . In reality, one must also consider the finite width of the slit, which contributes to the line-spread function of the spectrograph along with δβ g (see Casini and de Wijn, 2014). Considering for simplicity the case where the spectrograph is set to the Littrow configuration and with the grating tilted at the blaze angle (β = −α = ϕ), such a sampling condition gives…”
Section: Diffraction Gratingmentioning
confidence: 99%
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