TM and TE Mode Surface Waves on Grounded, Anisotropic, Inhomogeneous, Lossless, Dielectric Slabs (Correspondence)

J. H. Richmond has given the WKB solutions for the field distribution of surface waves on inhomogeneous, isotropic, plane layers. It is the purpose of this letter to extend his work to include a simple anistropy in the dielectric constant by considering a diagonalized relative permittivity tensor with components ε_x(x), ε_y(x), and ε_z(x). The geometry is the same as before except that a perfectly conducting plane is now positioned at x = 0. For easy reference we have used the same notation as Richmond, except where specified otherwise. Compactness in notation has been achieved by expressing the integrations from 0 to x and by considering the x variations outside the slab to be exp {-a(x-a)}.