A fast high-order solver for EM scattering from complex penetrable bodies: TE case

Creators: Bruno, Oscar P.; Sei, Alain

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Abstract

We present a new high-order integral algorithm for the solution of scattering problems by heterogeneous bodies under TE radiation. Here, a scatterer is represented by a (continuously or discontinuously) varying refractive index n(x) within a two-dimensional (2-D) bounded region. Solutions of the associated Helmholtz equation under given incident fields are then obtained by high-order inversion of the Lippmann-Schwinger integral equation. The algorithm runs in O(N log(N)) operations, where N is the number of discretization points. Our method provides highly accurate solutions in short computing times, even for problems in which the scattering bodies contain complex geometric singularities.

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© 2000 IEEE. "Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." Manuscript received October 5, 1999; revised June 26, 2000. This work was supported by the Air Force Office of Scientific Research, Air Force Materials Command, USAF under Grant F49620-96-1-0008. The work of O. P. Bruno was supported by NSF under Contracts DMS-9523292 and the Air Force Office of Scientific Research, Air Force Materials Command, USAF under Grant F49620-99-1-0010 and F49620-99-1-0193.

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