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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. 14, Iss. 5 — May. 1, 1997
  • pp: 1087–1091

Generation of a Bessel–Gauss pulse from a moving disk source distribution

P. L. Overfelt  »View Author Affiliations


JOSA A, Vol. 14, Issue 5, pp. 1087-1091 (1997)
http://dx.doi.org/10.1364/JOSAA.14.001087


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Abstract

Assuming a moving disk source distribution, the Riemann method and Gegenbauer's addition theorem in a mixed coordinate-space–phase-space formulation have been used to derive a zeroth-order Bessel–Gauss pulse solution to the inhomogeneous wave equation. In the region where τ2ρeff2+z2, the total solution can be separated into a wave that attenuates quickly and a Bessel–Gauss pulse that exists only after a certain time and continues for long times. In the region where z2τ2ρeff2+z2, only a short-time solution exists.

© 1997 Optical Society of America

History
Original Manuscript: July 26, 1996
Revised Manuscript: December 17, 1996
Manuscript Accepted: December 17, 1996
Published: May 1, 1997

Citation
P. L. Overfelt, "Generation of a Bessel–Gauss pulse from a moving disk source distribution," J. Opt. Soc. Am. A 14, 1087-1091 (1997)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-5-1087

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