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

Tomáš Dohnal, Thomas Hagstrom
<span title="">2007</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
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.
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