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Explicit equations for the second Brewster angle of an interface between a transparent and an absorbing medium

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Abstract

The second Brewster angle ϕB2, at which the ratio p/s of intensity reflectances p and s for the parallel (p) and the perpendicular (s) polarizations of a dielectric–conductor interface reaches a minimum, is determined by Im[(u-)(u-¯)2/(u-2¯)2]=0, where is the complex ratio of dielectric constants of the media of refraction and incidence, ¯ = /( + 1), and u = sin2ϕB2. An equivalent quartic equation in u is also derived that can be solved exactly and explicitly to determine ϕB2 in terms of .

© 1983 Optical Society of America

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