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Plurality of principal angles for a given pseudo-Brewster angle when polarized light is reflected at a dielectric–conductor interface

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Abstract

The pseudo-Brewster angle ϕpB of minimum reflectance for p-polarized light and the principal angle ϕ¯ at which incident linearly polarized light of the proper azimuth is reflected circularly polarized are considered as functions of the complex relative dielectric function ε of a dielectric–conductor interface over the entire complex ε plane. In particular, the spread of ϕ¯ for a given ϕpB is determined, and the maximum difference (ϕ¯ϕpB)max is obtained as a function of ϕpB. The maximum difference (ϕ¯ϕpB)max approaches 45° and 0 in the limit as ϕpB0 and 90°, respectively. For ϕpB<22.666°, multiple principal angles ϕ¯i, i=1,2,3, appear for each ε in a subdomain of fractional optical constants. This leads to an elaborate pattern of multiple solution branches for the difference ϕ¯iϕpB, i=1,2,3, as is illustrated by several examples.

© 2008 Optical Society of America

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