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- W1979088460 abstract "In geometric optics the Maxwell fish-eye is a medium where light rays follow circles, while in scalar wave optics this medium can only 'trap' fields of certain discrete frequencies. In the monochromatic case characterized by a positive integer l, there are independent fields. We identify two bases of functions: one, known as the Sherman–Volobuyev functions, is characterized as of 'most definite' momenta; the other is new and composed of 'most definite' positions and normal derivatives for the fish-eye scalar wavefields. Their construction uses the stereographic projection of the sphere, and their identification is corroborated in the contraction limit to the homogeneous Helmholtz medium." @default.
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- W1979088460 date "2015-04-20" @default.
- W1979088460 modified "2023-10-01" @default.
- W1979088460 title "Position and momentum bases for the monochromatic Maxwell fish-eye and the sphere" @default.
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- W1979088460 doi "https://doi.org/10.1088/1751-8113/48/19/195202" @default.
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