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Phys. Rev. A 44, 3941–3947 (1991)

Bessel-Gauss pulses

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P. L. Overfelt
Physics Division, Research Department, Naval Weapons Center, China Lake, California 93555-6001

Received 29 April 1991; published in the issue dated September 1991

A family of exact pulse solutions of the homogenous free-space scalar wave equation is obtained. These solutions describe moving modified Bessel-Gauss pulses. They include the fundamental Gaussian pulse and the Bessel beam solutions as special cases. The zeroth-order Bessel-Gauss pulse is shown to be more highly localized than the fundamental Gaussian solution because of its extra spectral degree of freedom. A superposition of Bessel-Gauss pulses is used to create a splash pulse that is more localized than the Ziolkowski splash pulse.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.44.3941
DOI:
10.1103/PhysRevA.44.3941
PACS:
41.10.Hv, 03.50.De