HAMILTONIAN FOUNDATION OF GEOMETRICAL ANISOTROPIC OPTICS

From the minimal-action principle follow the Hamilton equations of evo lution 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 depende nce on ray direction. The tangential component of momentum is conserve d at It is shown that the factorization theorem of refraction holds fo r interfaces We find the Lie-Seidel coefficients for axisymmetric inte rfaces between homogeneous aligned uniaxial anisotropic media to third aberration order.