Surface waves on symmetrical, inhomogeneous dielectric layers


  • K. F. Casey


A method is proposed by means of which the propagation constants and field components may be obtained for the surface waves supported by symmetrically inhomogeneous dielectric layers. The specific profile shape of the permittivity across the layer is nearly arbitrary. The characteristic equations from which the propagation constants for the even and odd TE and TM modes are obtained are expressed directly in terms of the Fourier expansion coefficients of the permittivity variation, and the field components are expressed in terms of solutions to the Hill equation. Numerical results are presented to illustrate the analysis for a specific family of dielectric profiles.