ABCD-systems with unimodular eigenvalues

M.J. Bastiaans, T. Alieva

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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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.
Originele taal-2Engels
TitelProc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia
RedacteurenM.L. Calvo, A.V. Pavlov, J. Jahns
Plaats van productieSt. Petersburg, Russia
UitgeverijITMO
Pagina's239-241
ISBN van geprinte versie5-7921-0719-6
StatusGepubliceerd - 2006

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Bastiaans, M. J., & Alieva, T. (2006). ABCD-systems with unimodular eigenvalues. In M. L. Calvo, A. V. Pavlov, & J. Jahns (editors), Proc. ICO Topical meeting on Optoinformatics/Information Photonics 2006, St. Petersburg, Russia (blz. 239-241). St. Petersburg, Russia: ITMO.