Summary
The exact solution is obtained for the problem of a plane wave incident at an oblique angle on a half-plane of large but finite conductivity. The usual approximate boundary conditions are applied and lead to coupled Wiener-Hopf integral equations from which to determine the currents excited on the surface of the sheet. The resulting expressions for the field components are found to be entirely different from those which would have been obtained by applying the technique used for the derivation of three-dimensional solutions in the case of perfectly conducting structures, and, indeed, not one component is given to the required accuracy by this technique.
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References
Clemmow, P. C., Proc. Roy. Soc.205 (1951) 286.
Senior, T. B. A., Quart. J. Mech. Appl. Math.6 (1953) 101.
Senior, T. B. A., Proc. Roy. Soc.213 (1952) 436.
Stratton, J. A., Electromagnetic Theory, McGraw-Hill, New York, 1941.
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Senior, T.B.A. Diffraction by an imperfectly conducting half-plane at oblique incidence. Appl. sci. Res. 8, 35–61 (1960). https://doi.org/10.1007/BF02920043
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DOI: https://doi.org/10.1007/BF02920043