Abstract
It is shown that a lossless first-order optical system (or ABCD-system) whose real symplectic ray transformation matrix can be diagonalized and has only unimodular eigenvalues, is similar to a separable fractional Fourier transformer in the sense that the ray transformation matrices of the unimodular system and the separable fractional Fourier transformer are related by means of a similarity transformation. Moreover, it is shown that the system that performs this similarity transformation, is itself a lossless first-order optical system.
| Original language | English |
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| Title of host publication | Proc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia |
| Editors | M.L. Calvo, A.V. Pavlov, J. Jahns |
| Place of Publication | St. Petersburg, Russia |
| Publisher | ITMO |
| Pages | 239-241 |
| ISBN (Print) | 5-7921-0719-6 |
| Publication status | Published - 2006 |