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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 1 — Jan. 1, 2002
  • pp: 49–53

Ultrashort pulsed Bessel beams and spatially induced group-velocity dispersion

Wei Hu and Hong Guo  »View Author Affiliations


JOSA A, Vol. 19, Issue 1, pp. 49-53 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000049


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Abstract

We find a new family of solutions of the nonparaxial wave equation that represents ultrashort pulsed light beam propagation in free space. The spatial and temporal parts of these pulsed beams are separable; the spatial transverse part is described by a Bessel function and remains unchanged during propagation, but the temporal profile can be arbitrary. Therefore the pulsed beam exhibits diffraction-free behavior with no transverse spreading, but the temporal part changes as if in a dispensive medium; the change is dominated by what we call spatially induced group-velocity dispersion. The analytical and numerical investigations show that the even- and odd-order spatially induced dispersions partially compensate for each other so as to give rise to pulse spreading, weakening, asymmetry, and center shift.

© 2002 Optical Society of America

OCIS Codes
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(260.1960) Physical optics : Diffraction theory
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(320.0320) Ultrafast optics : Ultrafast optics

History
Original Manuscript: February 28, 2001
Revised Manuscript: May 24, 2001
Manuscript Accepted: May 24, 2001
Published: January 1, 2002

Citation
Wei Hu and Hong Guo, "Ultrashort pulsed Bessel beams and spatially induced group-velocity dispersion," J. Opt. Soc. Am. A 19, 49-53 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-1-49

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