TY - JOUR
T1 - A Hybrid Wavelet Expansion and Boundary Element Analysis for Multiconductor Transmission Lines in Multilayered Dielectric Media
AU - Wang, Gaofeng
AU - Pan, Guangwen
AU - Gilbert, Barry K.
N1 - Funding Information:
Manuscript received October 12, 1993; revised June 8, 1994. This work was supported in part by ARPA/ESTO under Contract N00014-91-J-4030f rom the
Funding Information:
Office of Naval Research and hy Roeing Aerospace Co. under Contract 133- P77 1. G. Wang is with the Tanner Research, Inc., Pasadena, CA 91 107 USA. G. Pan is with the Department of Electrical Engineering, University of Wisconsin-Milwaukee, Milwaukee, WI 53201 USA. B. K. Gilbert is with the Mayo Foundation, Rochester, MN 55905 USA. IEEE Log Number 9407465.
PY - 1995/3
Y1 - 1995/3
N2 - In this paper the wavelet expansion method, in conjunction with the boundary element method (BEM), is applied for the evaluation of the capacitance and inductance matrices of multiconductor transmission lines in multilayered dielectric media. The integral equations obtained by using a Green's function above a ground plane are solved by Galerkin's method, with the unknown total charge expanded in terms of orthogonal wavelets in L2([0, 1]). The difficulty of using wavelets on the real line to expand unknown functions defined in finite intervals is overcome by the utilization of wavelets in L2([0, 1]). The adoption of the geometric representation of the BEM converts the two-dimensional problem into a one-dimensional problem, and provides a versatile and accurate treatment of curved conductor surfaces and dielectric interfaces. A sparse matrix equation is developed from the set of integral equations, which is extremely valuable, in particular when a large system of equations must be solved. Finally, we compare our numerical results with previously published data, and demonstrate good agreement between the two sets of results.
AB - In this paper the wavelet expansion method, in conjunction with the boundary element method (BEM), is applied for the evaluation of the capacitance and inductance matrices of multiconductor transmission lines in multilayered dielectric media. The integral equations obtained by using a Green's function above a ground plane are solved by Galerkin's method, with the unknown total charge expanded in terms of orthogonal wavelets in L2([0, 1]). The difficulty of using wavelets on the real line to expand unknown functions defined in finite intervals is overcome by the utilization of wavelets in L2([0, 1]). The adoption of the geometric representation of the BEM converts the two-dimensional problem into a one-dimensional problem, and provides a versatile and accurate treatment of curved conductor surfaces and dielectric interfaces. A sparse matrix equation is developed from the set of integral equations, which is extremely valuable, in particular when a large system of equations must be solved. Finally, we compare our numerical results with previously published data, and demonstrate good agreement between the two sets of results.
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U2 - 10.1109/22.372114
DO - 10.1109/22.372114
M3 - Article
AN - SCOPUS:0029271712
SN - 0018-9480
VL - 43
SP - 664
EP - 675
JO - IRE Transactions on Microwave Theory and Techniques
JF - IRE Transactions on Microwave Theory and Techniques
IS - 3
ER -