An Approach to Multi-Resolution In Time Domain Based On The Discrete Wavelet Transform

作者

  • C. Repres Dpt. of Electromechanical Engineering. University of Burgos. 09001 Burgos. Spain
  • C. Pereir Dpt. of Electromechanical Engineering. University of Burgos. 09001 Burgos. Spain
  • A.C.L. Cabeceir pt. of Electricity and Electron. University of Valladolid. 47011 Valladolid. Spain.
  • I. Barba pt. of Electricity and Electron. University of Valladolid. 47011 Valladolid. Spain.
  • J. Represa Dpt. of Electricity and Electron. University of Valladolid. 47011 Valladolid. Spain.

关键词:

An Approach to Multi-Resolution In Time Domain Based On The Discrete Wavelet Transform

摘要

In this paper, an approach to multi-resolution in time domain (MRTD) is presented. Maxwell equations are discretized using finite differences in time and a derivative matrix in space that allows any desired level of spatial resolution. This derivative matrix acts on the coefficients that represent the expansion field components. These coeffiecents are calculated by means of the Discrete Wavelet Transforms. In this word hard (PEC and PMC) boundary conditions have been introduced into the algorithm using the method of images.

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参考

I. Daubechies, Ten Lectures on Wavelets,

CBMS-NSF Ser. App. Math. 61, SIAM:

Philadelphia 1992.

M. Krumpholz and L.P.B. Katehi, “MRTD:

New Time-Domain schemes based on

multiresolution analysis,” IEEE Trans.

Microwave Theory Tech. 1996; 44(4):555-

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. 1998; 46(12):2463-2475.

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. 1999, 9(8):297-299.

R. F. Harrington, Field Computation by

Moment Methods, IEEE Press: New York

S. Barmada and M. Raugi, “A general tool for

circuit analysis based on wavelet transform,”

Int. J. Circuit Theory and Applications. 2000;

:461-480.

G. Beylkin, R. Coifman and V. Rokhlin, “Fast

wavelet transform and numerical algorithms,”

I. Comm. Pure Appl. Math. 1991, 44:141-183.

G. Beylkin, “On the representation of

operators in bases of compactly supported

wavelets,” SIAM J. Numer. Anal. 1992;

(6):1716-1740.

A. Taflove, Computational Electrodynamics:

The Finite-Difference Time-Domain Method,

Artech House 1995.

C. Christopoulos, The Transmission-Line

Modelling Method: TLM, IEEE MTT: New

York 1995.

J. Represa, C. Pereira, M. Panizo, F. Tadeo,

“A Simple Demonstration of Numerical

Dispersion under FDTD,” IEEE Trans.

Education. 1997; 40(1):98-102.

E.M. Tentzeris, R.L. Robertson, J.F. Harvey

and L.P.B. Katehi, “Stability and Dispersion

Analysis of Battle-Lemarie-Based MRTD

Schemes, “ IEEE Trans. Microwave Theory

Tech. 1999; 47(7):1004-1013.

M. Fujii and W.J.R. Hoefer, “Dispersion of

Time Domain Wavelet Galerkin Method

Based on Daubechies' Compactly Supported

Scaling Functions with Three and Four

Vanishing Moments,” IEEE Microwave

Guided Wave Lett. 2000; 10(4):125-127

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已出版

2022-06-18

栏目

General Submission