Formulas for the calculation of the direction cosines of refracted and internally reflected rays in anisotropic uniaxial crystals are presented. The method is based on a transformation to a nonorthonormal coordinate system in which the normal surface associated with the extraordinary ray is of spherical shape. A numerical example for the case of refraction and internal reflection in calcite is given.
© 1998 Optical Society of America
Original Manuscript: June 8, 1998
Revised Manuscript: August 10, 1998
Published: December 1, 1998
Georg Beyerle and I. Stuart McDermid, "Ray-tracing formulas for refraction and internal reflection in uniaxial crystals," Appl. Opt. 37, 7947-7953 (1998)