Planar waveguides anisotropic

We now suppose that the planar waveguide of Fig. 12-1 has a step profile and is composed of anisotropic materials. The modal fields are either TE or TM, provided the principal axes are parallel to the cartesian axes, as discussed in Section 30-11. 

Table 12-10 (a) Modal fleld components of the anisotropic step-profile planar waveguide. These expressions parallel those of Table 12-1 for the isotropic waveguide. The notation is identical in both cases, except that the refractive index depends on the electric field, direction, and the definitions of U, Wund V differ between TE and TM modes. The fields are normafeed so that e, = 1 or = 1 in the core at the interface... 

Table 12 11 Modal properties of the anisotropic step-profile planar waveguide. Eigenvalue equations and modal quantities N and rj calculated from Table 11-1, page 230. These expressions parallel Table 12-2 for the isotropic waveguide. The group velocity is obtained from Eq. (31-31) with ne, replaced by n e, = + e y. 

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