Study of birefringent-type tuning devices through 4X4 matrix algebra

P. J. Valle; Fernando Gracia Moreno

doi:10.1117/12.22261

1 July 1990 Study of birefringent-type tuning devices through 4X4 matrix algebra

P. J. Valle, Fernando Gracia Moreno

Proceedings Volume 1319, Optics in Complex Systems; (1990) https://doi.org/10.1117/12.22261
Event: 15th International Optics in Complex Systems, 1990, Garmisch, Germany

Abstract

Exact methods derived from Maxwell equations and based on 4X4 matrix algebra for studing stratified homogeneous uniaxial media are used to analyze tilted birefringent filters when they operate as intracavity wavelength selectors. The transmission spectrum and the tuning curves of different tilt angles are obtained. A detailed analysis of the " Brewster''s angle" effect is also presented. Spectroscopy devices such as gratings Fabry-Perot birefringents filters etc. have proved to be suitable for continuously varying the wavelength in dye-laser cavities. A theoretical and experimental analysis ofFabry-Perot type tuning elements has already been made by Bemebeu et al. 1''2 In the present work we show a theoretical study of birefringent filters as tuning elements by analyzing the transmission factor in terms of the wavelength and other parameters characterizing the filter (angle of incidence tune angle thickness refraction indices etc). A birefringent filter usually consists of one or several tilted birefringent plates of crystalline quartz with the optical axis parallel to the surfaces of the plate. Inside the plate the laser beam whose polarization is parallel to the plane of incidence is split into an ordinary and an extraordinary beam with different indices. Since the retardation by the plate is different for the two beams the linear polarization is generally transformed into an elliptical polarization behind the plate so additional losses occur. Only when the optical path difference between the two beams is an

Citation Download Citation

P. J. Valle and Fernando Gracia Moreno "Study of birefringent-type tuning devices through 4X4 matrix algebra", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.22261

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