Title :
A modified beam propagation method to model second harmonic generation in optical fibers
Author :
Weitzman, Peter S. ; Österberg, Ulf
Author_Institution :
Thayer Sch. of Eng., Dartmouth Coll., Hanover, NH, USA
fDate :
5/1/1993 12:00:00 AM
Abstract :
A finite-difference implementation of the beam propagation method (BPM) is used to solve the paraxial, scalar wave equation with a nonlinear source term. A transparent boundary condition capable of handling asymmetric modes is incorporated in the finite-difference algorithm. This nonlinear BPM is used to model the generation and propagation of second harmonic light in an optical fiber which has been prepared for second harmonic generation (SHG) by the formation of a χ(2) grating. This method can be used to predict the guided mode in which the generated second harmonic light propagates based on the modes of the writing (fundamental and second harmonic) and reading (fundamental only) light. The effects of self-phase modulation (SPM) and cross-phase modulation (XPM) are included in the model
Keywords :
finite difference methods; optical fibre theory; optical harmonic generation; optical modulation; phase modulation; SHG; asymmetric modes; cross-phase modulation; finite-difference algorithm; finite-difference implementation; guided mode; modified beam propagation method; nonlinear BPM; nonlinear source term; optical fibers; optical modulation; reading light; scalar wave equation; second harmonic generation; second harmonic light; second-order nonlinear susceptibility grating; self-phase modulation; transparent boundary condition; writing light; Fiber gratings; Finite difference methods; Glass; Optical fiber polarization; Optical fibers; Optical harmonic generation; Optical propagation; Partial differential equations; Phase modulation; Scanning probe microscopy;
Journal_Title :
Quantum Electronics, IEEE Journal of
