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Inverting the ratio of the complex parallel and perpendicular reflection coefficients of an absorbing substrate using a transparent thin-film coating

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Abstract

An absorbing substrate can be coated with a transparent thin film of refractive index N1 (within a certain range) and thickness d such that the ratio of complex reflection coefficients for the p and s polarizations of the film-covered substrate ρ = Rp/Rs is the inverse of that of the film-free substrate ρ¯=R¯p/R¯s at an angle of incidence ϕ. A method to determine the relationship among ϕ, N1, and d that inverts ρ (i.e., makes ρ = 1/ ρ¯) for a given substrate at a given wavelength is described and is applied to aluminum and silver substrates at 0.6328- and 10.6-μm wavelengths, respectively. Sensitivity of the inversion condition to incidence-angle and film-thickness errors is analyzed. ρ-inverting layers can be applied to one of the two metallic mirrors of a beam displacer or axicon to preserve the polarization state of incident monochromatic radiation.

© 1984 Optical Society of America

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Complex reflection coefficients for the parallel and perpendicular polarizations of a film–substrate system

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Appl. Opt. 22(2) 253-264 (1983)

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