Structure of the set of paraxial optical systems

Authors
Simon, R Wolf, KB
Citation
R. Simon et Kb. Wolf, Structure of the set of paraxial optical systems, J OPT SOC A, 17(2), 2000, pp. 342-355
Citations number
56
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
ISSN journal
10847529 → ACNP
Volume
17
Issue
2
Year of publication
2000
Pages
342 - 355
Database
ISI
SICI code
1084-7529(200002)17:2<342:SOTSOP>2.0.ZU;2-2
Abstract
The set of paraxial optical systems is the manifold of the group of symplec tic matrices. The structure of this group is nontrivial: It is not simply c onnected and is not of an exponential type. Our analysis clarifies the orig in of the metaplectic phase and the inherent limitations for optical map fr actionalization. We describe, for the first time to our knowledge, an image girator and a cross girator whose geometric and wave implementations are o f interest. (C) 2000 Optical Society of America [S0740-3232(00)00102-2] OCI S codes: 080.2730, 000.3870.