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

We present a new high-order integral algorithm for the solution of scatteri ng problems by heterogeneous bodies under TE radiation, Here, a scatterer i s represented by a (continuously or discontinuously) varying refractive ind ex n(x) within a two-dimensional (2-D) bounded region; solutions of the ass ociated Helmholtz equation under given incident fields are then obtained by high-order inversion of the Lippmann-Schwinger integral equation. The algo rithm runs in O(N log(N)) operations, where N is the number of discretizati on points. Our method provides highly accurate solutions in short computing times, even for problems in which the scattering bodies contain complex ge ometric singularities.