Abstract

Fourier transforms provide a basis for the design of gradient-index optical filters. A variety of techniques that differ in their treatment of the complex part or phase of the transformed refractive-index profile are reported. Here we describe a method of using the phase of the index profile as a variable to permit a closed-form, constrained optimization of rugate filters. Use of an optimal phase function in Fourier-based filter designs reduces the product of index contrast and thickness for desired reflectance spectra. The shape of the reflectance spectrum is recovered with greater fidelity by suppression of Gibbs oscillations and shifting of sidelobes into desired wavelength regions.

© 1993 Optical Society of America

Gradient-index optical filter synthesis with controllable and predictable refractive index profiles

Xinbin Cheng, Bin Fan, J. A. Dobrowolski, Li Wang, and Zhanshan Wang
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Photoelastically induced light modulation in gradient-index lenses

I. Abdulhalim and C. N. Pannell
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Optimal phase filtering for high-power laser array far-field distribution

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