Spatial solitons in quasi-phase-matched quadratic media

Edward D. Farnum; J. Nathan Kutz

doi:10.1117/12.525856

14 June 2004 Spatial solitons in quasi-phase-matched quadratic media

Edward D. Farnum, J. Nathan Kutz

Proceedings Volume 5337, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III; (2004) https://doi.org/10.1117/12.525856
Event: Lasers and Applications in Science and Engineering, 2004, San Jose, Ca, United States

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.

Citation Download Citation

Edward D. Farnum and J. Nathan Kutz "Spatial solitons in quasi-phase-matched quadratic media", Proc. SPIE 5337, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III, (14 June 2004); https://doi.org/10.1117/12.525856

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