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

Volume

10

Issue

4

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

543

Lastpage

545

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;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.662588

Filename

662588