Title
Analysis and Optimization of the Numerical Calculation in the Slowly Decaying Imaginary Distance Beam Propagation Method
Abbreviated Journal Title
J. Lightwave Technol.
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); FIELD PROPAGATION; MODES; COMPUTATION; FIBERS; Engineering, Electrical & Electronic; Optics; Telecommunications
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.
Journal Title
Journal of Lightwave Technology
Volume
26
Issue/Number
17-20
Publication Date
1-1-2008
Document Type
Article
Language
English
First Page
3199
Last Page
3206
WOS Identifier
ISSN
0733-8724
Recommended Citation
"Analysis and Optimization of the Numerical Calculation in the Slowly Decaying Imaginary Distance Beam Propagation Method" (2008). Faculty Bibliography 2000s. 983.
https://stars.library.ucf.edu/facultybib2000/983
Comments
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