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.
© 2008 Optical Society of America
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. II. Wave theory," J. Opt. Soc. Am. A 25, 2980-2990 (2008)