Abstract

The parallel iteration procedure for computing scattering by a multilayer sphere is described. The procedure uses a successive doubling strategy applied to four sets of multiple-scattering amplitudes, which is reminiscent of the fast Fourier transform (FFT) algorithm. The procedure is then used to calculate scattering of a plane wave by a modified Luneburg lens. The evolution of the transmission rainbow for the Luneburg lens parameter $f>1$ into an orbiting ray for $f=1$ and into a series of morphology-dependent resonances for $f<1$ is studied, and various features of the scattered intensity as a function of scattering angle are commented on. It is found that some resonances are formed without the presence of an exterior centrifugal barrier to confine them.

© 2008 Optical Society of America

Scattering of an electromagnetic plane wave by a Luneburg lens. I. Ray theory

James A. Lock
J. Opt. Soc. Am. A 25(12) 2971-2979 (2008)

Scattering of an electromagnetic plane wave by a Luneburg lens. II. Wave theory

James A. Lock
J. Opt. Soc. Am. A 25(12) 2980-2990 (2008)

Scattering of electromagnetic-plane waves by radially inhomogeneous spheres: a finely stratified sphere model

Li Kai and Patrizio Massoli
Appl. Opt. 33(3) 501-511 (1994)

Debye series analysis of scattering of a plane wave by a spherical Bragg grating

James A. Lock
Appl. Opt. 44(26) 5594-5603 (2005)

Semiclassical scattering of an electric dipole source inside a spherical particle

James A. Lock
J. Opt. Soc. Am. A 18(12) 3085-3097 (2001)