Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model

James A. Lock

doi:10.1364/JOSAA.25.002991

Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model

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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. (C) 2008 Optical Society of America

Original language	American English
Journal	Journal of the Optical Society of America A: Optics Image Science and Vision
Volume	25
DOIs	https://doi.org/10.1364/JOSAA.25.002991
State	Published - Dec 1 2008

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Physics

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Scattering of an Electromagnetic Plane Wave by a Luneburg LensFinal published version, 991 KBLicense: CC BY

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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. (C) 2008 Optical Society of America",

author = "Lock, \{James A.\}",

note = "Lock, James A. {"}Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model.{"} emJournal of the Optical Society of America A: Optics Image Science and Vision/em 25 (2008): 2991-3000.",

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doi = "10.1364/JOSAA.25.002991",

language = "American English",

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AU - Lock, James A.

N1 - Lock, James A. "Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model." emJournal of the Optical Society of America A: Optics Image Science and Vision/em 25 (2008): 2991-3000.

PY - 2008/12/1

Y1 - 2008/12/1

N2 - 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

AB - 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

UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/32

U2 - 10.1364/JOSAA.25.002991

DO - 10.1364/JOSAA.25.002991

M3 - Article

VL - 25

JO - Journal of the Optical Society of America A: Optics Image Science and Vision

JF - Journal of the Optical Society of America A: Optics Image Science and Vision

ER -

Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. III. Finely Stratified Sphere Model

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