Inverse Transformation of s-Reflection Coefficient between Oblique and Normal Incidence

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If denotes an interface Fresnel reflection or transmission coefficient for
- or
-polarized light at an oblique angle of incidence
, and z denotes the same coefficient at normal incidence, then it can be shown that w is an analytic function of
,
that depends parametrically on the angle of incidence
. The inverse mapping
between the complex
and
planes is illustrated here by one of the Fresnel coefficients (for s reflection) at one oblique angle of incidence (45°) and normal incidence. Here
, where
and
are the oblique-incidence amplitude reflectance and phase shift.
Contributed by: Siva Perla (March 2011)
Open content licensed under CC BY-NC-SA
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Details
R. M. A. Azzam, "Transformation of Fresnel's interface reflection and transmission coefficients between normal and oblique incidence," Journal of Optical Society of America, 69(4), 1979 pp. 590-596.
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