If
denotes an interface Fresnel reflection or transmission coefficient for
- or
-polarized light at an oblique angle of incidence
, and
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 mapping
between the complex
and
planes is illustrated here by one of the Fresnel coefficients (for
s reflection) at normal incidence and one oblique angle of incidence (45°). Here
, where
and
are the normal-incidence amplitude reflectance and phase shift.
This figure shows that the orthogonal (polar) set of straight lines and circles through and around the origin in the
plane is mapped onto orthogonal sets of curves in the
plane.
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