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On Fourier's Phase and Gradient Index Optical Design

Published online by Cambridge University Press:  15 February 2011

Peter D. Haaland
Peter D. Haaland*
Affiliation:
Wright Laboratory Materials Directorate, WL/MLPJ, WPAFB, OH 45433
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Abstract

Gradient index or rugate optical filters are continuous generalizations of the familiar quarterwave stack which find widespread applications in sensor hardening. In the design of a filter or mirror there are infinitely many refractive index profiles n(x) whose wavelength-dependent reflectance R(λ) is specified as a design objective. The relationship between R(λ) and n(x) is nearly that of a Fourier-transform pair. Exploiting this relationship, specifically the physically indeterminate phase of the Fourier transforms, permits constrained optimization of rugate designs. In this contribution we outline the approach of optimal phase modulation and indicate by examples its application to problems in optical limiting.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 374: Symposia ZB – Materials for Optical Limiting , 1994 , 369
Copyright
Copyright © Materials Research Society 1995

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