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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 2, Iss. 10 — Oct. 1, 1985
  • pp: 1711–1720

Free-space propagation of ultrashort light pulses

Jeffery Cooper and Egon Marx  »View Author Affiliations

JOSA A, Vol. 2, Issue 10, pp. 1711-1720 (1985)

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A boundary-value problem for Maxwell’s equations is formulated whose solutions represent ultrashort pulses of electromagnetic energy that travel along an axis. A paraxial approximation to the solution is introduced that, in the case of Gaussian boundary data, is expressed as a single integral over frequency. Calculations are presented for a pulse of Gaussian cross section and Gaussian time profile. A careful study is made of the error introduced by the paraxial approximation, and an error bound is derived.

© 1985 Optical Society of America

Original Manuscript: September 28, 1984
Manuscript Accepted: May 30, 1985
Published: October 1, 1985

Jeffery Cooper and Egon Marx, "Free-space propagation of ultrashort light pulses," J. Opt. Soc. Am. A 2, 1711-1720 (1985)

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