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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 10 — Oct. 1, 2012
  • pp: 2958–2963

New approach to pulse propagation in nonlinear dispersive optical media

Yuzhe Xiao, Drew N. Maywar, and Govind P. Agrawal  »View Author Affiliations

JOSA B, Vol. 29, Issue 10, pp. 2958-2963 (2012)

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We develop an intuitive approach for studying propagation of optical pulses through nonlinear dispersive media. Our new approach is based on the impulse response of linear systems, but we extend the impulse response function using a self-consistent time-transformation approach so that it can be applied to nonlinear media as well. Numerical calculations based on our new approach show excellent agreement with the generalized nonlinear Schrödinger equation in the specific case of the Kerr nonlinearity in both the normal and anomalous dispersion regimes. An important feature of our approach is that it works directly with the electric field associated with an optical pulse and can be applied to pulses of arbitrary width. Numerical calculations performed using single-cycle optical pulses show that our results agree with those obtained with the finite-difference time-domain technique using considerably more computing resources.

© 2012 Optical Society of America

OCIS Codes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(320.7110) Ultrafast optics : Ultrafast nonlinear optics

ToC Category:
Nonlinear Optics

Original Manuscript: July 30, 2012
Revised Manuscript: August 28, 2012
Manuscript Accepted: September 1, 2012
Published: September 28, 2012

Virtual Issues
October 10, 2012 Spotlight on Optics

Yuzhe Xiao, Drew N. Maywar, and Govind P. Agrawal, "New approach to pulse propagation in nonlinear dispersive optical media," J. Opt. Soc. Am. B 29, 2958-2963 (2012)

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