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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 11 — Jun. 1, 2007
  • pp: 1521–1523

Fractionalization of optical beams: I. Planar analysis

Julio C. Gutiérrez-Vega  »View Author Affiliations


Optics Letters, Vol. 32, Issue 11, pp. 1521-1523 (2007)
http://dx.doi.org/10.1364/OL.32.001521


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Abstract

We apply the tools of the fractional calculus to introduce new fractional-order beam solutions to the paraxial wave equation that can be regarded as intermediate solutions between the known integral-order solutions. We restrict our attention to the fractionalization of the elegant and standard Hermite–Gaussian beams.

© 2007 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1960) Diffraction and gratings : Diffraction theory
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: January 10, 2007
Revised Manuscript: February 25, 2007
Manuscript Accepted: February 26, 2007
Published: May 10, 2007

Citation
Julio C. Gutiérrez-Vega, "Fractionalization of optical beams: I. Planar analysis," Opt. Lett. 32, 1521-1523 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-11-1521

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