Title :
Time-domain beam propagation method for nonlinear optical propagation analysis and its application to photonic Crystal circuits
Author :
Fujisawa, Takeshi ; Koshiba, Masanori
Author_Institution :
Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
Abstract :
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.
Keywords :
diffraction gratings; finite element analysis; optical Kerr effect; optical design techniques; optical limiters; optical switches; optical waveguide theory; photonic crystals; time-domain analysis; BPM; continuous-wave excitation; finite-element method; nonlinear gratings; nonlinear optical propagation; nonlinear photonic crystal circuits; optical limiting; photonic crystal waveguide; self-focusing guiding phenomena; switching devices; time-domain beam propagation method; Circuits; Finite element methods; Gratings; Optical design; Optical propagation; Optical waveguides; Photonic crystals; Steady-state; Structural rods; Time domain analysis;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2004.824457
