Uniform Scattered Fields of the Extended Theory of Boundary Diffraction Wave for Pec Surfaces

Abstract

In this paper, the uniform scattered fields from a perfectly conducting (PEC) half plane are studied with the extended theory of the boundary diffraction wave. A new vector potential of the boundary diffraction wave is found by considering the Fermat principle for the PEC surfaces. This vector potential is applied to the Helmholtz-Kirchhoff integral, and the theory of the boundary diffraction wave is extended to the PEC surfaces. The extended theory of the boundary diffraction wave is then applied to the scattering problem for the PEC half plane. The total scattered fields are compared numerically with the exact solution for the same problem. The numerical comparisons given in the paper show that the solution of the extended theory of the boundary diffraction wave is very close to the exact solution.

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