Title :
Fast beam propagation method for the analysis of second-order nonlinear phenomena
Author :
Capobianco, Antonio-Daniele ; Brillo, Daniele ; De Angelis, Costantino ; Nalesso, Gianfranco
Author_Institution :
Dipt. di Elettronica e Inf., Padova Univ., Italy
fDate :
4/1/1998 12:00:00 AM
Abstract :
We adopt an implicit scheme to solve both the dispersive/diffractive and the nonlinear step in the beam propagation method (BPM) code. Unlike the Runge-Kutta implementation used in the nonlinear part of the propagation, the totally implicit scheme is considerably fast. Transparent boundary conditions can be also applied to effectively treat radiation problems. To validate the method, numerical examples are given and results compared with analytical solutions.
Keywords :
Runge-Kutta methods; boundary-value problems; codes; nonlinear optics; optical fibre communication; optical fibre dispersion; optical fibre theory; transparency; Runge-Kutta implementation; analytical solutions; beam propagation method code; diffractive; dispersive; fast beam propagation method; nonlinear part; nonlinear step; radiation problems; second-order nonlinear phenomena; transparent boundary conditions; Boundary conditions; Difference equations; Diffraction; Dispersion; Finite difference methods; Frequency; Nonlinear equations; Optical propagation; Optical signal processing; Signal processing algorithms;
Journal_Title :
Photonics Technology Letters, IEEE
