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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. 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)
http://dx.doi.org/10.1364/JOSAA.2.001711


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Abstract

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

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

Citation
Jeffery Cooper and Egon Marx, "Free-space propagation of ultrashort light pulses," J. Opt. Soc. Am. A 2, 1711-1720 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1711


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References

  1. R. Fork, C. Shank, R. Yen, C. Hirliman, “Femtosecond optical pulses,” IEEE J. Quantum Electron. QE-19, 500–505 (1983);S. L. Shapiro, ed., Ultrashort Light Pulses, Vol. 18 of Topics in Applied Physics (Springer-Verlag, New York, 1977). [CrossRef]
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  3. J. Cooper, “Exact and approximate pulsed beam solutions of Maxwell’s equations,” Math. Meth. Appl. Sci. (to be published).
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  7. E. Marx, “Free-space propagation of light pulses,” National Bureau of Standards Internal Rep. 84–2835 (U.S. Department of Commerce, Washington, D.C., 1984);“Free-field propagation of localized pulses,” IEEE Trans. Antennas Propag. (to be published).
  8. L. Schwartz, Mathematics for the Physical Sciences, (Addison-Wesley, Reading, Mass., 1966).

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