Abstract

For a plane wave incident on either a Luneburg lens or a modified Luneburg lens, the magnitude and phase of the transmitted electric field are calculated as a function of the scattering angle in the context of ray theory. It is found that the ray trajectory and the scattered intensity are not uniformly convergent in the vicinity of edge ray incidence on a Luneburg lens, which corresponds to the semiclassical phenomenon of orbiting. In addition, it is found that rays transmitted through a large-focal-length modified Luneburg lens participate in a far-zone rainbow, the details of which are exactly analytically soluble in ray theory. Using these results, the Airy theory of the modified Luneburg lens is derived and compared with the Airy theory of the rainbows of a homogeneous sphere.

© 2008 Optical Society of America

Scattering of an electromagnetic plane wave by a Luneburg lens. II. Wave theory

James A. Lock
J. Opt. Soc. Am. A 25(12) 2980-2990 (2008)

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

James A. Lock
J. Opt. Soc. Am. A 25(12) 2991-3000 (2008)

Exterior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder: semiclassical scattering theory analysis

James A. Lock, Charles L. Adler, and Edward A. Hovenac
J. Opt. Soc. Am. A 17(10) 1846-1856 (2000)

Semiclassical scattering of an electric dipole source inside a spherical particle

James A. Lock
J. Opt. Soc. Am. A 18(12) 3085-3097 (2001)

High-order interior caustics produced in scattering of a diagonally incident plane wave by a circular cylinder

C. L. Adler, James A. Lock, Bradley R. Stone, and Claudio J. Garcia
J. Opt. Soc. Am. A 14(6) 1305-1315 (1997)