On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. (English) Zbl 1404.35427

This paper is concerned about the Perfectly Matched Layers (PMLs) in dispersive media, especially in Negative Index Metamaterials (NIMs). The motivation is due to the discovery that the classical PMLs are unstable in simulating wave propagation in NIMs. The main goal of this paper is to propose a generalized way in constructing stable PMLs for a class of dispersive electromagnetic media including the Drude materials. Numerical simulation by using the FDTD method is presented to demonstrate the stability of the newly constructed PML.


35Q60 PDEs in connection with optics and electromagnetic theory
35B35 Stability in context of PDEs
35L05 Wave equation
35L40 First-order hyperbolic systems
35Q61 Maxwell equations
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
78A25 Electromagnetic theory (general)
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