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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 951–956

Diffraction-induced transformation of near-cycle and subcycle pulses

A. E. Kaplan  »View Author Affiliations


JOSA B, Vol. 15, Issue 3, pp. 951-956 (1998)
http://dx.doi.org/10.1364/JOSAB.15.000951


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Abstract

An analytical approach to the theory of diffraction transformation of pulses with superbroad spectra and arbitrary time dependence, in particular half-cycle (unipolar), single-cycle, and multicycle pulses, was developed. Closed-form solutions were found for on-axis propagation of half-cycle pulses with initially Gaussian spatial profiles that have either cosh−1-like or Gaussian time dependence, for single-cycle pulses based on higher modes of these functions, and for multicycle pulses. The far-field propagation demonstrates common patterns of time-derivative behavior regardless of the initial spatiotemporal profile. It is also shown that the time width of an off-axis pulse increases with the angle of observation. Owing to time–space reciprocity, the pulse transformation that is due to diffraction can be reversed, e.g., by reflection of a pulse from a spherical concave mirror.

© 1998 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(170.6920) Medical optics and biotechnology : Time-resolved imaging
(260.1960) Physical optics : Diffraction theory
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.5540) Ultrafast optics : Pulse shaping
(320.5550) Ultrafast optics : Pulses

Citation
A. E. Kaplan, "Diffraction-induced transformation of near-cycle and subcycle pulses," J. Opt. Soc. Am. B 15, 951-956 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-3-951

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