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Relationship between the p and s Fresnel reflection coefficients of an interface independent of angle of incidence

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Abstract

The Fresnel reflection coefficients rp and rs of p- and s-polarized light at the planar interface between two linear isotropic media are found to be interrelated by (rsrp)/(1 − rsrp) = cos 2β, independent of the angle of incidence ϕ, where tan2 β = and is the (generally complex) ratio of dielectric constants of the media of refraction and incidence. This complements another relation (found earlier), (rs2rp)/(rsrsrp) = cos 2ϕ, which is valid at a given ϕ independent of (i.e., for all possible interfaces). Taken together, these two equations specify rp and rs completely and can be used to replace the original Fresnel equations.

© 1986 Optical Society of America

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