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Time-domain beam propagation method for nonlinear optical propagation analysis and its application to photonic Crystal circuits

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2 Author(s)
Fujisawa, T. ; Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan ; Koshiba, M.

A time-domain beam propagation method (BPM) based on a finite-element scheme is newly formulated for nonlinear optical propagation analysis. In order to obtain steady-state solutions, a way of continuous-wave (CW) excitation is also described. The validity of this method is verified by numerical examples: self-focusing guiding phenomena and nonlinear gratings. Furthermore, this approach is also applied to characterizing nonlinear photonic crystal circuits. Specifically, a grating structure designed to modify the characteristics of light propagating within a photonic crystal waveguide and a stub-like structure including nonlinear rods are proposed, and the potential for use as optical limiting and switching devices is investigated.

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Lightwave Technology, Journal of  (Volume:22 ,  Issue: 2 )