title: Scattering of an electromagnetic plane wave by a Luneburg lens. III. Finely stratified sphere model.
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.
authors.affiliation: Department of Physics, Cleveland State University, Cleveland, Ohio 44115, USA. j.lock@csuohio.edu
authors.forename: James A
authors.initials: JA
authors.lastname: Lock