Title :
Enhancing the PML absorbing boundary conditions for the wave equation
Author :
Rickard, Yotka S. ; Nikolova, Natalia K.
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada
fDate :
3/1/2005 12:00:00 AM
Abstract :
The dynamics of wave propagation and interactions in general media is described either by the system of Maxwell´s equations, or by the wave equation. This paper focuses on problems modeled by the scalar wave equation, with one or more boundaries at infinity. The computational domain is truncated by a perfectly matched layer (PML) absorbing boundary condition (ABC) modified specifically for wave-equation applications. A problem independent approach is used to enhance the PML performance within the whole frequency band of excitation, in the presence of both evanescent and propagating fields. Numerical reflections below 0.1% are achieved with PML thickness of only six to eight cells, in both open and guided-wave problems.
Keywords :
Maxwell equations; electromagnetic wave propagation; finite difference time-domain analysis; ABC; FDTD; Maxwells equations; PML; absorbing boundary condition; finite-difference time-domain methods; perfectly matched layer; scalar wave equation; wave propagation; Boundary conditions; Conductivity; Finite difference methods; Frequency; H infinity control; Partial differential equations; Perfectly matched layers; Performance loss; Reflection; Time domain analysis; Absorbing boundary conditions (ABC); finite-difference time-domain (FDTD) methods; perfectly matched layer (PML); wave equation;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2004.842584