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2005-02-17
Use of Semi-Inversion Method for the Dirichlet Problem in Rough Surface Scattering
By
Progress In Electromagnetics Research, Vol. 54, 109-135, 2005
Abstract
The scattering problem from the random interface with the Dirichlet boundary condition can be formulated as an integral equation x = K̂y with respect to surface sources y (here, K̂ is the integral operator). Starting with an approximate operator K̂0, for which the inverse operator M̂=K̂−10 is known, the series in powers of the operator Ẑ=M̂(K̂0−K̂) is derived. As an approximate kernel, we consider the kernel depending only on the difference of arguments: K0=K0(r-r´), for which the kernel of the operator M̂ can be found in terms of generalized functions. The norm of the difference operator ||Ẑ|| is found; the conditions of convergency ||Ẑ||≤ 1 were obtained.
Citation
V. Tatarskii , "Use of Semi-Inversion Method for the Dirichlet Problem in Rough Surface Scattering," Progress In Electromagnetics Research, Vol. 54, 109-135, 2005.
doi:10.2528/PIER04110802
http://www.jpier.org/PIER/pier.php?paper=0411082
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