Solitons in quadratic nonlinear photonic crystals

Details Solitons in quadratic nonlinear photonic crystals Solitons in quadratic nonlinear photonic crystals

2000-07-31

arxiv.org/abs/nlin/0007042v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages with 6 figures

Scientific paper

10.1103/PhysRevE.64.047601

We study solitons in one-dimensional quadratic nonlinear photonic crystals with modulation of both the linear and nonlinear susceptibilities. We derive averaged equations that include induced cubic nonlinearities and numerically find previously unknown soliton families. The inclusion of the induced cubic terms enables us to show that solitons still exist even when the effective quadratic nonlinearity vanishes and conventional theory predicts that there can be no soliton. We demonstrate that both bright and dark forms of these solitons are stable under propagation.

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