Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations

DOI10.1016/j.jcp.2006.10.002zbMath1128.78012OpenAlexW2150616774MaRDI QIDQ882083

Tomáš Dohnal, Thomas M. Hagstrom

Publication date: 23 May 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.10.002

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (7)

Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains ⋮ On the non-equivalence of perfectly matched layers and exterior complex scaling ⋮ Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential ⋮ Perfectly matched layer absorbing boundary condition for nonlinear two-fluid plasma equations ⋮ Stability and instability of nonlinear defect states in the coupled mode equations-analytical and numerical study ⋮ Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes ⋮ Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives

Cites Work

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• Stability analysis of stationary light transmission in nonlinear photonic structures
• A time domain analysis of PML models in acoustics
• Perfectly matched layers for Maxwell's equations in second order formulation
• Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
• Optical Soliton Bullets in (2+1)D Nonlinear Bragg Resonant Periodic Geometries
• Absorbing Boundary Conditions for the Schrödinger Equation
• Fast Convolution for Nonreflecting Boundary Conditions
• Modeling of Wave Resonances in Low-Contrast Photonic Crystals
• Automatic Symmetrization and Energy Estimates Using Local Operators for Partial Differential Equations
• Nonlinear propagation of light in one-dimensional periodic structures

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