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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 34, Iss. 1 — Jan. 1, 2009
  • pp: 13–15

Paraxial group

Miguel A. Bandres and Manuel Guizar-Sicairos  »View Author Affiliations


Optics Letters, Vol. 34, Issue 1, pp. 13-15 (2009)
http://dx.doi.org/10.1364/OL.34.000013


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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 A B C D optical systems. We prove that any paraxial beam is form-invariant under these transformations.

© 2008 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(260.1960) Physical optics : Diffraction theory
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: September 3, 2008
Manuscript Accepted: September 27, 2008
Published: December 19, 2008

Citation
Miguel A. Bandres and Manuel Guizar-Sicairos, "Paraxial group," Opt. Lett. 34, 13-15 (2009)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-34-1-13

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