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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. 16, Iss. 9 — Sep. 1, 1999
  • pp: 2239–2244

Approximate Bessel–Gauss pulse generated from a disk source moving more slowly than the speed of light

P. L. Overfelt  »View Author Affiliations


JOSA A, Vol. 16, Issue 9, pp. 2239-2244 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002239


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Abstract

Assuming a disk source distribution moving in a straight line along the z axis at some velocity slower than the speed of light, an approximate Bessel–Gauss pulse solution to the inhomogeneous wave equation has been determined. This approximate pulse propagates in a specific region of space–time and is a long-time duration or steady-state solution of the inhomogeneous wave equation. The localization properties of this approximate waveform depend on the normalized speed of the source distribution. For source speeds close to the speed of light, the waveform is highly localized. As the source speed decreases, the scalar wave becomes less localized along the direction of propagation.

© 1999 Optical Society of America

OCIS Codes
(000.6800) General : Theoretical physics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: November 9, 1998
Revised Manuscript: March 4, 1999
Manuscript Accepted: March 4, 1999
Published: September 1, 1999

Citation
P. L. Overfelt, "Approximate Bessel–Gauss pulse generated from a disk source moving more slowly than the speed of light," J. Opt. Soc. Am. A 16, 2239-2244 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-9-2239

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