A simple relation is developed between the Jones propagation matrix in anisotropic materials and the reflection and interface transmission matrices for normal incidence upon a plane interface between isotropic and anisotropic materials. The case of anisotropic permittivity and/or conductivity and the case of anisotropic permeability are both considered. It is shown that, for small anisotropies, the reflection and interface transmission matrices can be decomposed into matrices representing the effects of linear and circular birefringence and dichroism. The case of multiple reflections in a planar slab is also treated.
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