Abstract

An iterative numerical approach to the approximate computation of the bistatic scattering width for weakly nonlinear dielectric infinite cylinders is proposed. The cylinders are assumed to be arbitrarily shaped and illuminated by a transverse-magnetic wave. The bistatic scattering width is calculated with an iterative numerical technique that can use both the classic first-order Born approximation and the distorted-wave Born approximation to provide the starting internal field distribution. Several numerical results are presented concerning Kerr-like nonlinearities. Circular and square cylinders are considered, as well as shells and scatterers with irregular cross sections. The effects of the nonlinearities, of the incident-field amplitude, and of the ratios between linear dimensions and wavelengths are analyzed, and the convergence of the iterative approach is evaluated in some significant cases.

© 1995 Optical Society of America

Rytov approximation: application to scattering by two-dimensional weakly nonlinear dielectrics

Salvatore Caorsi, Andrea Massa, and Matteo Pastorino
J. Opt. Soc. Am. A 13(3) 509-516 (1996)

Electromagnetic scattering by a reciprocal uniaxial bianisotropic cylinder with arbitrary cross section: extended mode-matching method

Dajun Cheng and Yahia M. M. Antar
J. Opt. Soc. Am. A 16(4) 831-836 (1999)

Scattering from a reciprocal uniaxial bianisotropic circular cylinder in the proximity of a perfect electric conductor plane

Dajun Cheng, Yahia M. M. Antar, and Gang Wang
J. Opt. Soc. Am. A 15(5) 1174-1181 (1998)

Two-dimensional scattering of a plane wave from a periodic array of dielectric cylinders with arbitrary shape

Mitsuhiro Yokota and Maurice Sesay
J. Opt. Soc. Am. A 25(7) 1691-1696 (2008)

Plane-wave scattering by gratings of conducting cylinders embedded in an inhomogeneous and lossy dielectric

Mahmood K. Moaveni, Azhar A. Rizvi, and Bahman A. Kamran
J. Opt. Soc. Am. A 5(6) 834-842 (1988)