期刊
JOURNAL OF OPTICS
卷 14, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/2040-8978/14/7/075705
关键词
spherical medium; geodesic lens; absolute instrument; magnifying lens; inverse scattering; perfect imaging; geometrical optics
类别
资金
- Grant agency of Czech Republic [P201/12/G028]
- QUEST programme grant of Engineering and Physical Sciences Research Council
- [MUNI/A/0968/2009]
This paper presents a general approach to solving the problems of inverse scattering in three-dimensional isotropic media with a spherically symmetric refractive index distribution. It is based on equivalence of the central section of an inhomogeneous medium and corresponding geodesic lens, which is a non-Euclidean surface with constant refractive index. We use this approach for solving the Luneburg inverse problem and also for the derivation and design of absolute instruments that provide perfect imaging within the frame of geometrical optics. In addition, we solve the generalized Luneburg inverse problem, which leads to the discovery of a new class of magnifying lenses.
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