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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 23 — Dec. 1, 2006
  • pp: 3429–3431

Spherical angular spectrum and the fractional order Fourier transform

Pierre Pellat-Finet, Pierre-Emmanuel Durand, and Éric Fogret  »View Author Affiliations


Optics Letters, Vol. 31, Issue 23, pp. 3429-3431 (2006)
http://dx.doi.org/10.1364/OL.31.003429


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Abstract

The notion of a spherical angular spectrum leads to the decomposition of the field amplitude on a spherical emitter into a sum of spherical waves that converge onto the Fourier sphere of the emitter. Unlike the usual angular spectrum, the spherical angular spectrum is propagated as the field amplitude, in a way that can be expressed by a fractional order Fourier transform.

© 2006 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

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: June 12, 2006
Revised Manuscript: September 4, 2006
Manuscript Accepted: September 13, 2006
Published: November 9, 2006

Citation
Pierre Pellat-Finet, Pierre-Emmanuel Durand, and Éric Fogret, "Spherical angular spectrum and the fractional order Fourier transform," Opt. Lett. 31, 3429-3431 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-23-3429


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References

  1. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
  2. P. Pellat-Finet and G. Bonnet, Opt. Commun. 111, 141 (1994). [CrossRef]
  3. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999).
  4. P. Pellat-Finet, Opt. Lett. 19, 1388 (1994). [CrossRef] [PubMed]
  5. V. Namias, J. Inst. Math. Appl. 25, 241 (1980). [CrossRef]
  6. P. Pellat-Finet and E. Fogret, Opt. Commun. 258, 103 (2006). [CrossRef]
  7. P. Pellat-Finet and P. E. Durand, C. R. Phys. 7, 457 (2006). [CrossRef]

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