Numerical algorithm for the analysis of linear and nonlinear microstructure fibres

Mariusz Zdanowicz; Marian Marciniak; Marek Jaworski; Igor A. Goncharenko

doi:10.1117/12.739549

9 April 2007 Numerical algorithm for the analysis of linear and nonlinear microstructure fibres

Mariusz Zdanowicz, Marian Marciniak, Marek Jaworski, Igor A. Goncharenko

Proceedings Volume 6608, Lightguides and Their Applications III; 66080S (2007) https://doi.org/10.1117/12.739549
Event: Lightguides and Their Applications III, 2006, Krasnobród, Poland

Abstract

This report shortly describes calculation method related to guiding properties of the microstructure fibres. For the modelling of wave propagation in such fibres in linear and nonlinear regimes the finite-difference vectorial-beam-propagation method (FD-VBMP) has been chosen. This method offers high accuracy and allows investigating longitudinally varying structures or propagation of optical waves with amplitudes varying under the effect of nonlinearity and loss. In order to take into account the effects related to the finite fibre dimensions the transparent boundary conditions (TBC) was used. The Split-Step Local Error method is implemented for correct estimation of the influence of nonlinearity on the wave propagation in microstructure fibres. On the basis of this method the complete algorithm for the numerical simulation of the wave propagation in microstructure fibres under the effect of nonlinearity has been developed. The method allows optimising the structure of photonic crystal fibres (PCF) for maximising or minimising nonlinear effects. Investigation of the properties of a wavelength converter based on a microstructure fibre was carried out using simulation results in the nonlinear case. Modification of the method for optimisation of connection between microstructure fibres and conventional fibres is also considered.

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Mariusz Zdanowicz, Marian Marciniak, Marek Jaworski, and Igor A. Goncharenko "Numerical algorithm for the analysis of linear and nonlinear microstructure fibres", Proc. SPIE 6608, Lightguides and Their Applications III, 66080S (9 April 2007); https://doi.org/10.1117/12.739549

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KEYWORDS

Beam propagation method

Refractive index

Wave propagation

Algorithm development

Error analysis

Computer simulations

Optical simulations

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