The calculation of eigenvalues modes of the planar anisotropic waveguides for various angles the optical axis

For a homogeneous anisotropic planar waveguide made solution of the Maxwell. We obtained fundamental matrices decision for the TE and TM waves in an anisotropic plane homogeneous layer. Was obtained the dependence of the phase shift of TM waves reflected from the boundaries of "anisotropic layer - isotropic medium" on the inclination angle the optical axis. The numerical solution of the dispersion equation TM waves in an anisotropic planar waveguide with different orientation of the optical axis in the plane of the wave. The asymptotic behavior of the dispersion curves was decided.