Spatial solitons in quasi-phase-matched quadratic media

Edward D. Farnum, J. Nathan Kutz

Research output: Contribution to journalConference articlepeer-review

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 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 envelope equations are described.

Original languageEnglish
Pages (from-to)81-88
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume5337
DOIs
StatePublished - 2004
EventNonlinear Frequency Generation and Conversion: Materials, Devices, and Applications III - San Jose, CA, United States
Duration: 26 Jan 200427 Jan 2004

Keywords

  • Pulse propagation
  • Quasi-phase matching

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