Optical Filters Synthesis Using Fourier Series

Sami A. Shakir

doi:10.1117/12.976101

20 November 1985 Optical Filters Synthesis Using Fourier Series

Sami A. Shakir

Proceedings Volume 0540, Southwest Conf on Optics '85; (1985) https://doi.org/10.1117/12.976101
Event: 1985 Albuquerque Conferences on Optics, 1985, Albuquerque, United States

Abstract

A simple method of multilayer filter synthesis is developed. The method is based on expanding the reflectance amplitude in a Fourier series and deducing the indices of refraction from the Fourier coefficients. The utility of the method is demonstrated by solving a general representative model for optical filters. The simplicity of the method is due to the fact that we deal directly with the reflectance amplitude. The method is applicable to cases of equal or unequal thickness films. To achieve a practicable design solution, the computed refractive indices are scaled and matched to a given set of available materials using the criterion that the error in the Fresnel amplitudes at each interface is a minimum, illustrative design examples are demonstrated.

Citation Download Citation

Sami A. Shakir "Optical Filters Synthesis Using Fourier Series", Proc. SPIE 0540, Southwest Conf on Optics '85, (20 November 1985); https://doi.org/10.1117/12.976101

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