Relation between the connected diagram and smoothing methods for rough surface scattering
In previous work by the author on connected diagram expansion methods for the problem of scattering from a random rough surface a stochastic Lippmann–Schwinger integral equation in Fourier transform space for the scattered part of the Green’s function was derived. Averaging techniques using homogene...
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Veröffentlicht in: | Journal of mathematical physics 1986-01, Vol.27 (1), p.377-379 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In previous work by the author on connected diagram expansion methods for the problem of scattering from a random rough surface a stochastic Lippmann–Schwinger integral equation in Fourier transform space for the scattered part of the Green’s function was derived. Averaging techniques using homogeneous statistics and a statistical cluster decomposition on the surface interaction function yielded a connected diagram expansion for the coherent and incoherent Green’s functions. Here it is demonstrated that the smoothing method applied to this stochastic integral equation yields a result that agrees with the connected diagram expansion only to second order in the surface interaction. For third‐ and higher‐order interactions, the smoothing method does not yield connected terms. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.527343 |