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Article
Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. I. Ray Theory
Journal of the Optical Society of America A: Optics Image Science and Vision
  • James A. Lock, Cleveland State University
Document Type
Article
Publication Date
12-1-2008
Disciplines
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. (C) 2008 Optical Society of America
DOI
10.1364/JOSAA.25.002971
Version
Publisher's PDF
Citation Information
Lock, James A. "Scattering of an Electromagnetic Plane Wave by a Luneburg Lens. I. Ray Theory." Journal of the Optical Society of America A: Optics Image Science and Vision 25 (2008): 2971-2979.