On Prism Cross-Dispersers -- Modelling Échelle Spectrograms

In this paper, we elaborate on correctly predicting Échelle spectrograms by employing the fully three-dimensional representation of Snell's law to model the effects of prisms as cross-dispersers in Échelle spectrographs. We find that it is not sufficient to simply apply the frequently used trig...

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Wierzbowski, Jakob, Bitnar, Bernd, Hold, Siegfried
Format: Article
Language:English
Subjects:
Algorithms
Calibration
Dispersion
Modelling
Prisms
Snells law
Spectrograms
Spectrographs
Online Access:Get full text
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Summary:In this paper, we elaborate on correctly predicting Échelle spectrograms by employing the fully three-dimensional representation of Snell's law to model the effects of prisms as cross-dispersers in Échelle spectrographs. We find that it is not sufficient to simply apply the frequently used trigonometric prism dispersion equation to describe recorded spectra. This vector equation approach is not limited to a single dispersive element when modelling multi-prism cross-disperser configurations. Our results help to understand the main levers in an Échelle spectrograph as well as contribute to auto-calibration algorithms for minimizing calibration efforts in daily operation.
ISSN:2331-8422