Phenomenological theory of multimode surface waves for plane structures
Open Access
- 1 January 1966
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 24 (3) , 239-247
- https://doi.org/10.1090/qam/99919
Abstract
The notion of impedance boundary condition is generalized and illustrated by the discussion of the electromagnetic field arising from a magnetic line dipole source located above a plane structure. The generalized impedance boundary condition contains a set of parameters whose totality offers a physical description of the configuration. By suitably selecting these parameters, the configuration may be made to correspond to a structure that supports surface waves. We give an exact solution for a plane structure that supports one, two and three surface waves. The magnitudes of the surface waves are obtained and simple formulas for the radiated far field patterns are given. We also show how the methods employed can be extended to the case of any number of surface waves. This involves an n n th order mixed boundary condition for a second order partial differential equation.Keywords
This publication has 20 references indexed in Scilit:
- Propagation of plane electromagnetic waves past a shorelineJournal of Research of the National Bureau of Standards, Section D: Radio Propagation, 1962
- Field Theory of Guided WavesPhysics Today, 1961
- Scattering of a surface wave by a discontinuity in the surface reactance on a right angled wedgeCommunications on Pure and Applied Mathematics, 1961
- Two dimensional green's function for a right angled wedge under an impedance boundary conditionCommunications on Pure and Applied Mathematics, 1960
- Vertex excited surface waves on both faces of a right-angled wedgeCommunications on Pure and Applied Mathematics, 1959
- Diffraction of a skew plane electromagnetic wave by an absorbing right‐angled wedgeCommunications on Pure and Applied Mathematics, 1958
- Excitation of surface wavesProceedings of the IEE Part C: Monographs, 1958
- An investigation of the properties of radial cylindrical surface waves launched over flat reactive surfacesProceedings of the IEE - Part B: Radio and Electronic Engineering, 1956
- The radiation of a Hertzian dipole over a coated conductorProceedings of the IEE Part C: Monographs, 1955
- Suggestions for a Theory of the Coastal RefractionPhysical Review B, 1943