Publications [#283218] of Steven A. Cummer

Papers Published

1. Cummer, SA, Perfectly matched layer behavior in negative refractive index materials, Ieee Antennas and Wireless Propagation Letters, vol. 3 no. 1 (December, 2004), pp. 172-175, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1536-1225 [LAWP.2004.833710], [doi]
   (last updated on 2023/06/01)

   Abstract:
   The perfectly matched layer (PML) absorbing boundary condition is shown to be analytically unstable for a material with a bandwidth of negative refractive index. Physically, this is a consequence of the reversed phase and group velocities in such a medium. The instability is inherent in the PML and is not implementation-specific. We derive a modified PML (NIMPML) that is analytically stable in a negative index material (NIM), and we demonstrate its numerical stability in a specific NIMPML implementation.

   Keywords:
   Refractive index;Boundary conditions;Convergence of numerical methods;Electromagnetic wave propagation;Magnetic permeability;Permittivity;Maxwell equations;Computer simulation;