Absolute optical instruments without spherical symmetry

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Authors

TYC Tomáš DAO H L DANNER Aaron James

Year of publication 2015
Type Article in Periodical
Magazine / Source Phys. Rev. A
MU Faculty or unit

Faculty of Science

Citation
Web http://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.053827
Doi http://dx.doi.org/10.1103/PhysRevA.92.053827
Field Optics, masers and lasers
Keywords absolute optical instruments; refractive index; Cartesian coordinates
Description Until now, the known set of absolute optical instruments has been limited to those containing high levels of symmetry. Here, we demonstrate a method of mathematically constructing refractive index profiles that result in asymmetric absolute optical instruments. The method is based on the analogy between geometrical optics and classical mechanics and employs Lagrangians that separate in Cartesian coordinates. In addition, our method can be used to construct the index profiles of most previously known absolute optical instruments, as well as infinitely many different ones.
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