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Report 2006-12
Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations
T. Dohnal and T. Hagstrom
Abstract: Extending the general approach for first-order hyperbolic systems developed in [5], 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 the layer equations are stable, absorbing, and perfectly matched. A number of numerical experiments are performed to assess the layer's performance in both the linear and nonlinear regimes.
Paper: Available as PDF (528 KB) or as hardcopy to order reports@sam.math.ethz.ch.
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