Abstract
We deduce formulas for the angular position of singular optic axes in homogeneous optical media. The angular position of singular optic axes for a given general (complex, nonsymmetric) dielectric tensor is the same for its transposed and complex conjugated tensors as well as for a (complex) multiple. For the case of a symmetric dielectric tensor, the four axes fulfill a connecting relation, meaning that the singular optic axes of a nonsymmetric dielectric tensor do not relate to those of any (effective) symmetric tensor. For the symmetric case, we provide analytical solutions for the angular positions of singular optic axes of triclinic, monoclinic, and orthorhombic crystals.
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