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Numerical instability of finite‐difference beam‐propagation method in the analysis of tapered optical waveguides
Author(s) -
Seo Hyangwon,
Kim Sungtae,
Lee SangSun,
Chang Hosung,
Choi MyungRyul
Publication year - 1999
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/(sici)1098-2760(19991020)23:2<84::aid-mop7>3.0.co;2-k
Subject(s) - instability , beam propagation method , microwave , finite difference method , boundary value problem , waveguide , beam (structure) , finite difference , optics , physics , boundary (topology) , mechanics , mathematics , mathematical analysis , refractive index , quantum mechanics , thermodynamics
We investigate the numerical instability of a finite‐difference beam‐propagation formulation applied to tapered optical waveguides, and we find that instability may occur with the use of conventional transparent boundary conditions. We suggest modified transparent boundary conditions to remove the instability by controlling the amount of outgoing energy flux from waveguide structures. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 23: 84–87, 1999.