The performance of regular, complex frequency shifted (CFS), and second-order perfectly matched layers (PMLs) is studied for the numerical simulation of waveguide problems. The limitations of each PML is clearly demonstrated. It is shown that the second-order PML is overall the best choice for a general problem, since the regular PML is incapable of absorbing evanescent waves and the CFS-PML is ineffective for the absorption of low-frequency propagating waves. Both two- and three-dimensional problems are considered to confirm the analysis.
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Correia et al. (2006) studied this question.
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