Field renormalization in photonic crystal waveguides

Pierre Colman

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Abstract

A novel strategy is introduced in order to include variations of the nonlinearity in the nonlinear Schro¨dinger equation. This technique, which relies on renormalization, is in particular well adapted to nanostructured optical systems where the nonlinearity exhibits large variations up to two orders of magnitude larger than in bulk material. We show that it takes into account in a simple and efficient way the specificity of the nonlinearity in nanostructures that is determined by geometrical parameters like the effective mode area and the group index. The renormalization of the nonlinear Schro¨dinger equation is an occasion for physics-oriented considerations and unveils the potential of photonic crystal waveguides for the study of new nonlinear propagation phenomena.
Original languageEnglish
Article number013827
JournalPhysical Review A
Volume92
Issue number1
Number of pages10
ISSN2469-9926
DOIs
Publication statusPublished - 2015

Cite this

Colman, Pierre. / Field renormalization in photonic crystal waveguides. In: Physical Review A. 2015 ; Vol. 92, No. 1.
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Field renormalization in photonic crystal waveguides. / Colman, Pierre.

In: Physical Review A, Vol. 92, No. 1, 013827, 2015.

Research output: Contribution to journalJournal articleResearchpeer-review

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AB - A novel strategy is introduced in order to include variations of the nonlinearity in the nonlinear Schro¨dinger equation. This technique, which relies on renormalization, is in particular well adapted to nanostructured optical systems where the nonlinearity exhibits large variations up to two orders of magnitude larger than in bulk material. We show that it takes into account in a simple and efficient way the specificity of the nonlinearity in nanostructures that is determined by geometrical parameters like the effective mode area and the group index. The renormalization of the nonlinear Schro¨dinger equation is an occasion for physics-oriented considerations and unveils the potential of photonic crystal waveguides for the study of new nonlinear propagation phenomena.

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