Perfectly Matched Layer (PML) for Computational Electromagnetics
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چکیده
منابع مشابه
Pml as an Efficient Abc for Lossy Media
Berenger's perfectly matched layers (PML) has been found very e cient as a material absorbing boundary condition (ABC) for nite-di erence time-domain (FDTD) modeling of lossless media. In this paper, we apply the PML ABC to lossy media. The new ABC is shown to work excellently for lossy media too, provided that the appropriate PML pro les are selected. We nd that an e cient PML pro le is usuall...
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Since its introduction the Perfectly Matched Layer (PML) has proven to be an accurate and robust method for domain truncation in computational electromagnetics. However, the mathematical analysis of PMLs has been limted to special cases. In particular, the basic question of whether or not a stable PML exists for arbitrary wave propagation problems remains unanswered. In this work we develop gen...
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We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt field formulation and illustrates why applying a filter has...
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We investigate the long time behavior of two unsplit PML methods for the absorption of electromagnetic waves. Computations indicate that both methods su er from temporal instabilities after the elds reach a quiescent state. The analysis shows that the source of the instabilities is due to the undi erentiated terms of the PML equations and that it is associated with degeneracy of the quiescent s...
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We present a detailed analysis of a recently proposed perfectly matched layer (PML) method for the absorption of acoustic waves. The split set of equations is shown to be only weakly well-posed, and ill-posed under small low order perturbations. This analysis provides the explanation for the stability problems associated with the spilt eld formulation and illustrates why applying a lter has a s...
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