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COHERENT FIELD APPROXIMATION OF PLANE WAVE SCATTERING FROM 1D-ROUGH MIRRORS

By P. Hillion

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Abstract:
For an harmonic plane wave impinging on a perfectly reflecting smooth plane the total field, incident and reflected, satisfying on this plane a Dirichlet or Neumann boundaray condition, has an integral representation that we extend to the specular reflection from a perfectly reflecting rough plane. To make this generalization possible, some constraints must be imposed on the wavelength of the incident field and on the rough amplitude to make the diffuse field negligible so that only the coherent field is important and we may use the fact that the coherent power is identical to that of a smooth surface. This generalized integral representation supplies an approximation of the coherent field valid far from the rough plane. We limit the discussion to acoustic, TE, TM electromagnetic wave incident on 1D-perfectly reflecting rough planes with roughness described by zig-zag functions piecewise linear with opposite slop on adjacent intervalls.

Citation:
P. Hillion, "Coherent Field Approximation of Plane Wave Scattering from 1D-Rough Mirrors," Progress In Electromagnetics Research M, Vol. 11, 177-190, 2010.
doi:10.2528/PIERM09011202

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