Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media
JOSA B, Vol. 24, Issue 9, pp. 2537-2544 (2007)
http://dx.doi.org/10.1364/JOSAB.24.002537
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Abstract
Based on the Snyder–Mitchell model in the Cartesian coordinate system, exact analytical Hermite–Gaussian (HG) solutions are obtained in strongly nonlocal nonlinear media. The comparisons of analytical solutions with numerical simulations of the nonlocal nonlinear Schrödinger equation show that the analytical HG solutions are in good agreement with the numerical simulations in the case of strong nonlocality. Furthermore, we demonstrate that HG functions can be expressed as a linear superposition of individual Gaussian functions with a π phase difference under the appropriate conditions.
© 2007 Optical Society of America
OCIS Codes
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
ToC Category:
Nonlinear Optics
History
Original Manuscript: April 5, 2007
Revised Manuscript: June 21, 2007
Manuscript Accepted: July 13, 2007
Published: August 31, 2007
Citation
Dongmei Deng, Xin Zhao, Qi Guo, and Sheng Lan, "Hermite-Gaussian breathers and solitons in strongly nonlocal nonlinear media," J. Opt. Soc. Am. B 24, 2537-2544 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-9-2537
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