Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations
- Seminar for Applied Mathematics, ETH-Zentrum, CH-8092, Zuerich (Switzerland)
- Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131 (United States)
Extending the general approach for first-order hyperbolic systems developed in [D. Appeloe, T. Hagstrom, G. Kreiss, Perfectly matched layers for hyperbolic systems: general formulation, well-posedness and stability, SIAM J. Appl. Math., 2006, to appear], we construct PML equations for the mixed-type system governing propagation of optical wave packets in both 1D and 2D Bragg resonant photonic waveguides with a cubic nonlinearity, i.e. the coupled mode equations. We prove that in the linear case the layer equations are absorbing and perfectly matched. We also prove they are stable for constant parameters. A number of numerical experiments are performed to assess the layer's performance in both the linear and nonlinear regimes.
- OSTI ID:
- 20991576
- Journal Information:
- Journal of Computational Physics, Vol. 223, Issue 2; Other Information: DOI: 10.1016/j.jcp.2006.10.002; PII: S0021-9991(06)00469-4; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
Similar Records
A framework for solving atomistic phonon-structure scattering problems in the frequency domain using perfectly matched layer boundaries
Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations