Abstract
In this paper, we apply a several wavelets basis functions to the method of moments to modeling the parallel-coupled microstrip lines. The first set of equations is for the shielded microstrip line solved with moment’s method and wavelets. The Green’s function is obtained from the theory of images. The second set are for the parallel-coupled microstrip lines operating in the TEM mode or when the analysis can be based on quasi-static approximation, the properties of coupled lines can be determined from the self- and mutual inductances and capacitances for the lines. To demonstrate the effectiveness and accuracy of the proposed technique, numerical results of even- and odd-mode characteristic impedances, coupling coefficient, percentage sparsity achieved in the impedance matrix, the CPU Time to reverse impedance matrix, and error relative for Daubechies, Coiflets, Biorthogonal and Symlets wavelets are presented. Numerical results are in good agreement with those in previous publications.
Highlights
Since the first carried out research to nowadays, transmission line-based microwave devices are largely used in telecommunication systems to constantly improve the overall performances by reducing the size, weight, and cost
It has been applied to a wide range of engineering disciplines and received considerable attention on computational electromagnetics, in solving integral equations [5, 6]
We studied the several of wavelets in the goal to evaluate the characteristic impedance of the shielded microstrip and the even- and odd-mode characteristic impedances for coupled microstrip lines
Summary
Since the first carried out research to nowadays, transmission line-based microwave devices are largely used in telecommunication systems to constantly improve the overall performances by reducing the size, weight, and cost. The parallel-coupled microstrip lines are utilized extensively as basic elements for directional couplers, filters, phase shifters and a variety of others useful circuits [1, 2]. Because of the coupling of electromagnetic fields, a pair of coupled lines can support two different modes of propagation. The velocity of propagation of these two modes is equal when the lines are embedded in a homogeneous dielectric medium [3, 4]. It has been applied to a wide range of engineering disciplines and received considerable attention on computational electromagnetics, in solving integral equations [5, 6]
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