Structure of the set of paraxial optical systems

被引：82

作者：

Simon, R

Wolf, KB

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

[2] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62251, Morelos, Mexico

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2000年 / 17卷 / 02期

关键词：

D O I：

10.1364/JOSAA.17.000342

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The set of paraxial optical systems is the manifold of the group of symplectic matrices. The structure of this group is nontrivial: It is not simply connected and is not of an exponential type. Our analysis clarifies the origin of the metaplectic phase and the inherent limitations for optical map fractionalization. We describe, for the first time to our knowledge, an image girator and a cross girator whose geometric and wave implementations are of interest. (C) 2000 Optical Society of America [S0740-3232(00)00102-2] OCIS codes: 080.2730, 000.3870.

引用

页码：342 / 355

页数：14