Title :
Three-dimensional beam propagation analysis of nonlinear optical fibers and optical logic gates
Author :
Niiyama, Akira ; Koshiba, Masanori
Author_Institution :
Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
fDate :
1/1/1998 12:00:00 AM
Abstract :
A three-dimensional (3-D) beam propagation method is described for the analysis of nonlinear optical fibers, where the finite element and finite difference methods are, respectively, utilized for discretizing the fiber cross section and the propagation direction. For efficient evaluation of wide-angle beam propagation Pade approximation is applied to the differential operator along the propagation direction. In order to improve the efficiency and accuracy of solutions, isoparametric elements and numerical integration formulae derived by Hammer et al. are introduced. The propagation characteristics of nonlinear optical fibers with linear core and nonlinear cladding are analyzed, and unique features of nonlinear guided-wave propagation are investigated. Furthermore, all-optical logic gates with practical, 3-D geometry consisting of optical fibers and a nonlinear film are proposed, and their operations of Boolean arithmetic are demonstrated
Keywords :
approximation theory; finite difference methods; finite element analysis; nonlinear optics; optical fibre theory; optical films; optical logic; 3-D geometry; 3D beam propagation analysis; 3D beam propagation method; Boolean arithmetic; Pade approximation; all-optical logic gates; differential operator; fiber cross section; finite difference methods; finite element methods; isoparametric elements; linear core; nonlinear cladding; nonlinear film; nonlinear guided-wave propagation; nonlinear optical fibers; numerical integration formulae; optical logic gates; propagation direction; three-dimensional beam propagation analysis; wide-angle beam propagation; Boolean functions; Fiber nonlinear optics; Finite difference methods; Finite element methods; Geometrical optics; Logic gates; Nonlinear optics; Optical fibers; Optical films; Optical propagation;
Journal_Title :
Lightwave Technology, Journal of
