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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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References

  1. M. Guizar-Sicairos and J. C. Gutiérrez-Vega, Opt. Lett. 31, 2912 (2006). [CrossRef] [PubMed]
  2. M. A. Bandres and J. C. Gutiérrez-Vega, Opt. Lett. 32, 3459 (2007). [CrossRef] [PubMed]
  3. M. A. Bandres and J. C. Gutiérrez-Vega, Opt. Express 15, 16719 (2007). [CrossRef] [PubMed]
  4. M. A. Bandres and J. C. Gutiérrez-Vega, Opt. Lett. 33, 177 (2008). [CrossRef] [PubMed]
  5. M. A. Bandres, Opt. Lett. 33, 1678 (2008). [CrossRef] [PubMed]
  6. M. A. Bandres and J. C. Gutiérrez-Vega, “Elliptical beams” (submitted to Opt. Express).
  7. W. Miller, Symmetry and Separation of Variables (Cambridge U. Press, 1984).
  8. K. B. Wolf, Geometric Optics on Phase Space (Springer, 2004).
  9. W. Shaomin and L. Ronchi, in Progress in Optics, Vol. XXV, E.Wolf, ed. (Elsevier, 1988), pp. 281-348.

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