Transmission ratio of the Glan–Taylor prism with deviated optical axes in the static polarization interference imaging spectrometer

Glan–Taylor prism is the key component of the static polarization interference imaging spectrometer. In this paper, we consider the case that optical axes of the Glan–Taylor prism have departure angles from their ideal directions that in the principal section, however principal section varies with optical axes. Ray tracing method is employed to detailedly present the light trails in the birefringent Glan–Taylor prism when the incident plane and the principal section are in the same plane. Both double refraction in the crystal and internal double reflection over the interface between the birefringent and isotropic mediums are analyzed in detail. Besides, we obtain the approximate formula about the transmission ratio of Glan–Taylor prism. Finally, the transmission ratio of Glan–Taylor prism due to the deviations of the optical axes is deduced and discussed in particular.