Abstract
This paper discusses and compares two approaches for the analysis of SW propagation on modulated impedance surfaces. The first one is an extension of geometrical optics (GO) description for plane waves in graded index materials to surface waves (SWs) supported by modulated, impenetrable, isotropic or anisotropic impedance boundary conditions. The second one is a flat version of transformation optics (TO). The first approach is quite general, and it extends to SWs the basic concepts of GO (ray-path, ray-velocity, transport of energy), thus, resulting in an elegant formulation which allows for closed-form analysis of planar operational devices. On the other hand, the second approach is only applicable when the impedance modulation can be described through an appropriate coordinate transformation, and in these cases it allows one to conveniently determine ray paths without resorting to ray tracing.
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