The partial wave scattering and interior amplitudes for the interaction of an electromagnetic plane wave with a modified Luneburg lens are derived in terms of the exterior and interior radial functions of the scalar radiation potentials evaluated at the lens surface. A Debye series decomposition of these amplitudes is also performed and discussed. The effective potential inside the lens for the transverse electric polarization is qualitatively examined, and the approximate lens size parameters of morphology-dependent resonances are determined. Finally, the physical optics model is used to calculate wave scattering in the vicinity of the ray theory orbiting condition in order to demonstrate the smoothing of ray theory discontinuities by the diffraction of scattered waves. (C) 2008 Optical Society of America
Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. II. Wave TheoryJournal of the Optical Society of America A: Optics Image Science and Vision
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Citation InformationLock, James A. "Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. II. Wave Theory." Journal of the Optical Society of America A: Optics Image Science and Vision 25 (2008): 2980-2990.