A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling

A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling

A hybrid implicit-explicit finite-difference time-domain (FDTD) method for solving the wave equation in nonlinear optical waveguiding structures is proposed. The new scheme combines the computational simplicity of the explicit scheme in linear medium regions with the superior stability property of t...

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Veröffentlicht in:IEEE transactions on microwave theory and techniques 1999-05, Vol.47 (5), p.540-545
Hauptverfasser: Van, V., Chaudhuri, S.K.
Format: Artikel
Sprache:eng
Schlagworte:
Computer simulation
Finite difference method
Finite difference methods
Finite difference time domain method
Instability
Mathematical analysis
Maxwell equations
Microwaves
Nonlinear equations
Nonlinear optical devices
Nonlinear optics
Nonlinearity
Optical signal processing
Optical waveguides
Permittivity
Stability
Time domain analysis
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Zusammenfassung:A hybrid implicit-explicit finite-difference time-domain (FDTD) method for solving the wave equation in nonlinear optical waveguiding structures is proposed. The new scheme combines the computational simplicity of the explicit scheme in linear medium regions with the superior stability property of the partially implicit scheme in regions of nonlinear materials, thus eliminating potential problems of instability associated with nonlinearity. Simulation results for Kerr-type nonlinear slab waveguides and corrugated waveguides are presented and compared with those obtained using the conventional noniterative FDTD scheme.
ISSN:0018-9480
1557-9670
DOI:10.1109/22.763152