Phys. Rev. E 64, 047601 (2001) [4 pages]Solitons in quadratic nonlinear photonic crystalsReceived 12 January 2001; published 21 September 2001 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, which can be defocusing, and we numerically find previously unknown soliton families. Because of these induced cubic terms, 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 can propagate stably. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.047601
DOI:
10.1103/PhysRevE.64.047601
PACS:
42.65.Tg, 05.45.Yv, 42.65.Jx, 42.65.Ky
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