## Hamiltonian orbit structure of the set of paraxial optical systems

JOSA A, Vol. 19, Issue 12, pp. 2436-2444 (2002)

http://dx.doi.org/10.1364/JOSAA.19.002436

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### Abstract

In the paraxial regime of three-dimensional optics, two evolution Hamiltonians are equivalent when one can be transformed to the other modulo scale by similarity through an optical system. To determine the equivalence sets of paraxial optical Hamiltonians one requires the orbit analysis of the algebra sp(4, ℜ) of

© 2002 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(080.2730) Geometric optics : Matrix methods in paraxial optics

**History**

Original Manuscript: March 19, 2002

Revised Manuscript: June 19, 2002

Manuscript Accepted: June 19, 2002

Published: December 1, 2002

**Citation**

Sameen Ahmed Khan and Kurt Bernardo Wolf, "Hamiltonian orbit structure of the set of paraxial optical systems," J. Opt. Soc. Am. A **19**, 2436-2444 (2002)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-12-2436

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