28 January 2005 The main factor of soliton-like mode creating in nonlinear photonic crystals
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Abstract
The main factor of Solitonlike mode creating in the one-dimensional photonic crystals with Kerr nonlinearity was investigated. By matching all boundary conditions we have solved the nonlinear wave equation of MPBGS. The relationship between solitonlike mode and the incident intensity, Kerr coefficient or linear photonic quantum well was calculated. The expression of the localized modes is exactly derived by means of a transfer matrix method, and is solved numerically. Under the linear approximation, the MPBGS sustains localized electromagnetic modes with discrete frequencies. When the nonlinearity is involved, the localized modes develope into solitonlike localized modes that without linear counterpart occur in the gap. They are caused purely by the nonlinear effect. It was found that with the reduction of linear photonic quantum well, rich and varied solitonlike electromagnetic modes appear in the gap. The lower linear photonic quantum well, the less the incident intensity of the first solitonlike mode appear. Although nonlinear is the essential reason caused solitonlike mode, the height of linear photonic quantum well play an important role.
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Xuming Xu, Xuming Xu, Nianhua Liu, Nianhua Liu, } "The main factor of soliton-like mode creating in nonlinear photonic crystals", Proc. SPIE 5646, Nonlinear Optical Phenomena and Applications, (28 January 2005); doi: 10.1117/12.577435; https://doi.org/10.1117/12.577435
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