B. Shanker et al., A FAST MULTIPOLE APPROACH TO ANALYZE SCATTERING FROM AN INHOMOGENEOUSBIANISOTROPIC CYLINDRICAL OBJECT EMBEDDED IN A CHIRAL HOST, Radio science, 33(1), 1998, pp. 17-31
This paper presents a computationally efficient algorithm to compute o
blique scattering from a bianisotropic object immersed in a chiral hos
t. The analysis is performed in terms of Beltrami fields, as these for
m a natural basis for representing waves in a chiral medium. Volume in
tegral equations are derived solely in terms of the axial components o
f the Beltrami fields and are discretized using pyramidal basis functi
ons. The integral equations are solved iteratively using a fast multip
ole accelerated method of moments technique with a computational compl
exity of O(N-1.4) per iteration. A windowed translation operator is in
troduced, which further reduces the computational complexity of the al
gorithm to O(N-1.33). Our numerical results are validated against Mie-
type solutions for anisotropic cylinders and shells. Results for scatt
ering from large bianisotropic corrugated surfaces are presented.