A HYBRID WAVELET EXPANSION AND BOUNDARY-ELEMENT ANALYSIS FOR MULTICONDUCTOR TRANSMISSION-LINES IN MULTILAYERED DIELECTRIC MEDIA

In this paper the wavelet expansion method, in conjunction with the bo undary element method (BEM), is applied for the evaluation of the capa citance and inductance matrices of multiconductor transmission lines i n multilayered dielectric media, The integral equations obtained by us ing a Green's function above a ground plane are solved by Galerkin's m ethod, with the unknown total charge expanded in terms of orthogonal w avelets in L(2)([0, 1]), The difficulty of using wavelets on the real line to expand unknown functions defined in finite intervals is overco me by the utilization of wavelets in L(2)([0, 1]), The adoption of the geometric representation of the BEM converts the two-dimensional prob lem into a one-dimensional problem, and provides a versatile and accur ate treatment of curved conductor surfaces and dielectric interfaces. A sparse matrix equation is developed from the set of integral equatio ns, which is extremely valuable, in particular when a large system of equations must be solved, Finally, we compare our numerical results wi th previously published data, and demonstrate good agreement between t he two sets of results.