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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 4 — Apr. 1, 1983
  • pp: 490–494

Luneburg lens: unitary invariance and point characteristic

H. A. Buchdahl  »View Author Affiliations


JOSA, Vol. 73, Issue 4, pp. 490-494 (1983)
http://dx.doi.org/10.1364/JOSA.73.000490


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Abstract

The Hamiltonian of the Luneburg lens K is invariant not merely under rotations but under a wider group of unitary transformations. This has two immediate consequences: First, by inspection one can write down ray integrals sufficient in number to describe fully the shapes and disposition of rays; second, K is one of the rare, nontrivial systems for which the point characteristic can be exhibited in closed, nonparametric form. This paper sets out in detailwhat has just been described in outline.

© 1983 Optical Society of America

Citation
H. A. Buchdahl, "Luneburg lens: unitary invariance and point characteristic," J. Opt. Soc. Am. 73, 490-494 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-4-490

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