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Proceedings Paper

Spatial solitons in quasi-phase-matched quadratic media
Author(s): Edward D. Farnum; J. Nathan Kutz
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Paper Abstract

Recently there has been interest in producing "cubic-like" effects, such as self-focusing, in materials engineered to have a rapidly oscillating quadratic nonlinearity. If the nonlinearity oscillates on a fast enough scale, the governing quadratic equations can be effectively averaged to give cubic equations. We propose a multiple scales approach in which diffraction is neglected at leading order. In doing so, we obtain exact solutions to the leading order. In doing so, we obtain exact solutions to the leading order system and solvability conditions on the slow evolution and transverse spatial dependence which, ensure that the higher order corrections are periodic. Using a variational approach, dynamics and stability of the solutions to the slow evelope equations are described.

Paper Details

Date Published: 14 June 2004
PDF: 8 pages
Proc. SPIE 5337, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III, (14 June 2004); doi: 10.1117/12.525856
Show Author Affiliations
Edward D. Farnum, Univ. of Washington (United States)
J. Nathan Kutz, Univ. of Washington (United States)


Published in SPIE Proceedings Vol. 5337:
Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III
Kenneth L. Schepler; Dennis D. Lowenthal, Editor(s)

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