engleski

A First-Order Approximation to Scalar Scattering From Thin, Curved Dielectric Objects

A first-order asymptotic approximation to scalar scattering from a curved thin dielectric object Sd is presented. In order to solve the scattering problem, a Lippmann- Schwinger integral equation is derived from the governing Helmholtz partial differential equation. A space distribution of relative permittivity er within the integral equation describes the scattering object. Using asymptotic analysis, the initial integral equation over the thin, curved three dimensional object is transformed into an integral equation over a two dimensional object, which approximately describes the thin, curved object. With the described transformation, computational time is significantly reduced since the dimensions of the scattering object are reduced by one. Presented work is an extension of analysis described in paper by D. Ambrose and S. Moskow.

reduction of dimension, electromagnetic scattering, Maxwell's equations

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