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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 25, Iss. 12 — Dec. 1, 2008
  • pp: 2991–3000

Scattering of an electromagnetic plane wave by a Luneburg lens. III. Finely stratified sphere model

James A. Lock  »View Author Affiliations

JOSA A, Vol. 25, Issue 12, pp. 2991-3000 (2008)

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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

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(260.5740) Physical optics : Resonance
(290.4020) Scattering : Mie theory

ToC Category:

Original Manuscript: July 30, 2008
Manuscript Accepted: September 11, 2008
Published: November 12, 2008

James A. Lock, "Scattering of an electromagnetic plane wave by a Luneburg lens. III. Finely stratified sphere model," J. Opt. Soc. Am. A 25, 2991-3000 (2008)

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