Published January 1, 2009 | Version Published
Journal Article Open

Paraxial group

  • 1. ROR icon California Institute of Technology

Abstract

We introduce the paraxial group, the group of symmetries of the paraxial-wave equation and its action on paraxial beams. The transformations, elements of the group, are used to obtain closed-form expressions for the propagation of any paraxial beam through misaligned ABCD optical systems. We prove that any paraxial beam is form-invariant under these transformations.

Additional Information

© 2008 Optical Society of America. Received September 3, 2008; accepted September 27, 2008; posted October 16, 2008 (Doc. ID 101079); published December 19, 2008. M. A. Bandres acknowledges support from the Secretaría de Educación Publica de México.

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Identifiers

Eprint ID
14044
Resolver ID
CaltechAUTHORS:20090422-113059647

Funding

Secretaría de Educación Pública (SEP)

Dates

Created
2009-04-22
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field