Title

Analysis And Optimization Of The Numerical Calculation In The Slowly Decaying Imaginary Distance Beam Propagation Method

Keywords

Crank-Nicholson scheme; Finite difference method; Finite element method; Fully implicit scheme; Optical fibers; Optical waveguides; Slowly decaying imaginary distance beam propagation method (SD-ID-BPM)

Abstract

The detailed analyses of different numerical schemes are presented for solving the governing equation of the slowly decaying imaginary distance beam propagation method (SD-ID-BPM), including their convergence speed and stability. It will be demonstrated that the fully implicit scheme has great advantages over the Crank-Nicholson scheme to obtain the eigenmodes using SD-ID-BPM. The converged solution of the eigenmodes can be obtained tremendously faster using the fully implicit scheme than using the Crank-Nicholson scheme with similarly good accuracy. In addition the fully implicit scheme will be shown to be easier to implement, more reliable and robust than the Crank-Nicholson scheme. The use of the fully implicit scheme in the SD-ID-BPM results in great improvements of the modeling capability of this method. It will also be demonstrated that both the fully implicit and Crank-Nicholson schemes are numerically stable. © 2008 IEEE.

Publication Date

9-1-2008

Publication Title

Journal of Lightwave Technology

Volume

26

Issue

17

Number of Pages

3199-3206

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/JLT.2008.926927

Socpus ID

60149103320 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/60149103320

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