Abstract

A method to calculate the spectrum of the light incident on a cascaded Fabry–Perot interferometric spectrometer from the detector signal versus the scanning mirror position is presented. The method is based on modifying the Fabry–Perot integral equation to reduce possible spectrum reconstruction errors that arise due to inaccurate determination of the optical path difference reference position and the dependence on the dispersion of the cavity material. A transformation algorithm that employs the suggested kernel modification is derived and tested. The presented algorithm is then compared to the conventional kernel, showing spectral error reductions by larger than 20 dB.

© 2021 Optical Society of America

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References

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request. Data used in this paper for refractive index simulations are available in Refs. [2831].

28. H. H. Li, “Refractive index of silicon and germanium and its wavelength and temperature derivatives,” J. Phys. Chem. Ref. Data 9, 561–658 (1993). [CrossRef]  

31. M. R. Querry, “Optical constants of minerals and other materials from the millimeter to the ultraviolet,” CRDEC-CR-88009 (Chemical Research, Development and Engineering Center, 1987).

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