Title :
A fast high-order solver for EM scattering from complex penetrable bodies: TE case
Author :
Bruno, Oscar P. ; Sei, Alain
Author_Institution :
Appl. Math., California Inst. of Technol., Pasadena, CA, USA
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.
Keywords :
Helmholtz equations; electromagnetic wave scattering; integral equations; iterative methods; refractive index; EM scattering; Helmholtz equation; Lippmann-Schwinger integral equation; TE radiation; complex geometric singularities; complex penetrable bodies; continuously varying refractive index; discontinuously varying refractive index; fast algorithm; heterogeneous bodies; high-order integral algorithm; high-order inversion; two-dimensional bounded region; Computer aided software engineering; Electromagnetic scattering; Fourier transforms; Green function; Integral equations; Iterative algorithms; Iterative methods; Refractive index; Two dimensional displays;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
