PML Absorbing Boundary Conditions for the Multiresolution Time-Domain Techniques Based on the Discrete Wavelet Transform
关键词:
PML Absorbing Boundary Conditions for the Multiresolution Time-Domain Techniques Based on the Discrete Wavelet Transform摘要
The use of numerical methods to solve
electromagnetic problems with open boundaries
requires a method to limit the domain in which the
field is computed. This can be achieved by truncating
the mesh and setting certain numerical boundary
conditions on the outer perimeter of the domain to
simulate its extension to infinity. In this paper, the
formulation of the perfectly matched layer (PML) is
applied to the multiresolution time-domain technique
(MRTD) to effectively simulate free-space. The PML
region is modelled by means of the two-dimensional
discrete wavelet transform. In addition, the numerical
reflectivity of the PML medium is also investigated
for a variety of thicknesses.
##plugins.generic.usageStats.downloads##
参考
M. Krumpholz and L.P.B. Katehi, “MRTD:
New Time-Domain schemes based on
multiresolution analysis,” IEEE Trans.
Microwave Theory Tech., vol. 44, no. 4, pp.
–571, April 1996.
M. Fujii and W.J.R. Hoefer, “A 3-D Haar-
Wavelet-Based Multiresolution Analysis
Similar to the FDTD Method – Derivation and
Application,” IEEE Trans. Microwave Theory
Tech., vol. 46, no. 12, pp. 2463–2475,
December 1998.
Y. W. Cheong, Y. M. Lee, K. H. Ra, and C. C.
Shin, “Wavelet-Galerkin scheme of time-
dependent inhomogeneous electromagnetic
problems,” IEEE Microwave Guided Wave
Lett., vol. 9, pp. 297–299, August 1999.
B. Engquist and A. Madja, “Absorbing
boundary conditions for the numerical
simulation of waves,” Mathematics
Computation, vol. 31, pp. 629–651, 1977.
G. Mur, “Absorbing boundary conditions for
the finite-difference aproximations of the
time-domain electromagnetics field
equations,” IEEE Trans. Electromagnetic
Compatibility, vol. 23, pp. 377–382, 1981.
K. K. Mei and J. Fang, “Superabsorption - A
method to improve absorbing boundary
conditions,” IEEE Trans. Antennas and
Propagation, vol. 40, pp. 1001–1010,
September 1992.
J. P. Bérenger, “A perfectly matched layer for
the absorption of electromagnetics waves,” J.
Computational Physics, vol. 114, pp. 185–
, 1994.
C. Represa, C. Pereira, I. Barba A.C.L.
Cabeceira and J. Represa, “An approach to
multiresolution in time domain based on the
discrete wavelet transform,” ACES Journal,
vol. 18, no. 3, pp. 210–218, November 2003.
A. Taflove, Computational Electrodynamics:
The Finite-Difference Time-Domain Method.
Artech House, 1995.
S. G. Mallat, “A theory for multiresolution
signal decomposition: The wavelet
representation,” IEEE Trans. Pattern Analysis
and Machine Intelligence, vol. 11, no. 7, pp.
–693, 1989
