Journal of the Optical Society of America A: Optics Image Science and Vision
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. (C) 2008 Optical Society of America
Lock, James A., "Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model" (2008). Physics Faculty Publications. 32.
Lock, James A. "Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model." Journal of the Optical Society of America A: Optics Image Science and Vision 25 (2008): 2991-3000.
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