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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 27, Iss. 8 — Aug. 1, 2010
  • pp: 1664–1670

Optical precursors in the singular and weak dispersion limits

Kurt E. Oughstun, Natalie A. Cartwright, Daniel J. Gauthier, and Heejeong Jeong  »View Author Affiliations


JOSA B, Vol. 27, Issue 8, pp. 1664-1670 (2010)
http://dx.doi.org/10.1364/JOSAB.27.001664


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Abstract

The description of the precursor fields in a single-resonance Lorentz model dielectric is considered in the singular and weak dispersion limits. The singular dispersion limit is obtained as the damping approaches zero and the material dispersion becomes increasingly concentrated about the resonance frequency. The algebraic peak amplitude decay of the Brillouin precursor with propagation distance z > 0 then changes from a z 1 / 2 to a z 1 / 3 behavior. The weak dispersion limit is obtained as the material density decreases to zero. The material dispersion then becomes vanishingly small everywhere and the precursors become increasingly compressed in the space-time domain immediately following the speed-of-light point ( z , t ) = ( z , z / c ) . In order to circumvent the numerical difficulties introduced in this case, an approximate equivalence relation is derived that allows the propagated field evolution due to an ultrawideband signal to be calculated in an equivalent dispersive medium that is highly absorptive.

© 2010 Optical Society of America

OCIS Codes
(260.2030) Physical optics : Dispersion
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.5550) Ultrafast optics : Pulses

ToC Category:
Ultrafast Optics

History
Original Manuscript: May 4, 2010
Revised Manuscript: June 22, 2010
Manuscript Accepted: June 23, 2010
Published: July 29, 2010

Citation
Kurt E. Oughstun, Natalie A. Cartwright, Daniel J. Gauthier, and Heejeong Jeong, "Optical precursors in the singular and weak dispersion limits," J. Opt. Soc. Am. B 27, 1664-1670 (2010)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-27-8-1664

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