Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides

Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides

A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation functio...

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Veröffentlicht in:IEEE journal of quantum electronics 2014-10, Vol.50 (10), p.808-814
Hauptverfasser: Tran, Thang Q., Kim, Sangin
Format: Artikel
Sprache:eng
Schlagworte:
Approximants
Beams (radiation)
Finite element analysis
Finite element method
Indexes
Mathematical analysis
Numerical stability
Optical waveguides
Quantum electronics
Stability
Stability criteria
Transmission line matrix methods
Waveguides
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Zusammenfassung:A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2014.2347371