Title :
Perfectly matched layer behavior in negative refractive index materials
Author :
Cummer, Steven A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
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 :
boundary-elements methods; finite difference methods; microwave materials; numerical stability; refractive index; PML absorbing boundary condition; finite difference methods; medium reversed group velocities; negative refractive index materials; numerical stability; perfectly matched layer; reversed phase;
Journal_Title :
Antennas and Wireless Propagation Letters, IEEE
DOI :
10.1109/LAWP.2004.833710