## Breakdown of the slowly-varying-amplitude approximation: generation of backward-traveling, second-harmonic light

JOSA B, Vol. 20, Issue 1, pp. 152-157 (2003)

http://dx.doi.org/10.1364/JOSAB.20.000152

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### Abstract

By numerically solving the nonlinear field equations, we simulate second-harmonic generation by laser pulses within a nonlinear medium without making the usual slowly-varying-amplitude approximation, an approximation which may fail when laser pulses of moderate intensity or ultrashort duration are used to drive a nonlinear process. Under these conditions we show that a backward-traveling, second-harmonic wave is created, and that the magnitude of this wave is indicative of the breakdown of the slowly-varying-amplitude approximation. Conditions necessary for experimental detection of this wave are discussed.

© 2003 Optical Society of America

**OCIS Codes**

(190.0190) Nonlinear optics : Nonlinear optics

(190.4160) Nonlinear optics : Multiharmonic generation

(350.5500) Other areas of optics : Propagation

**Citation**

J. Z. Sanborn, C. Hellings, and T. D. Donnelly, "Breakdown of the slowly-varying-amplitude approximation: generation of backward-traveling, second-harmonic light," J. Opt. Soc. Am. B **20**, 152-157 (2003)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-1-152

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