From the minimal-action principle follow the Hamilton equations of evolution for geometrical-optics rays in anisotropic media. In such media the direction of the ray and the canonical momentum are not generally parallel but differ by an anisotropy vector. The refractive index of this version of geometrical optics may have, in principle, any dependence on ray direction. The tangential component of momentum is conserved at surfaces of index discontinuity. It is shown that the factorization theorem of refraction holds for interfaces between two anisotropic media. We find the Lie–Seidel coefficients for axisymmetric interfaces between homogeneous aligned uniaxial anisotropic media to third aberration order.
© 1995 Optical Society of America
Original Manuscript: March 2, 1994
Revised Manuscript: November 28, 1994
Manuscript Accepted: December 16, 1994
Published: June 1, 1995
Ana Leonor Rivera, Sergey M. Chumakov, and Kurt Bernardo Wolf, "Hamiltonian foundation of geometrical anisotropic optics," J. Opt. Soc. Am. A 12, 1380-1389 (1995)