Absolute optical instruments without spherical symmetry
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Phys. Rev. A |
| MU Faculty or unit | |
| 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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