A hybrid numerical method is proposed involving a successful combination of the equivalent electrodes and boundary element method. Electric field and electric potential distribution are determined by using both equivalent electrodes and equivalent charges. Green's function for potential of the charge per unit length, placed in free space, on the boundary of two dielectrics, is used. Magnetic-field distribution is determined by applying equivalent currents through magnetic vector potential and substitution of Ampere's microscopic currents with total currents. The accuracy of the developed method is highlighted with some simple numerical examples.
The hybrid boundary element method, based on the equivalent electrodes method and the boundary element method, is presented in this article. This method is applied on several examples for calculating the characteristic impedance of transmission lines. It should be emphasized that the combination of the equivalent electrodes method and a new variant of the boundary element method can be efficiently implemented in quasi-transverse electromagnetic analysis of transmission lines without loss of accuracy. All results for the characteristic impedance of the observed transmission lines are compared to corresponding ones obtained by the finite-element method.
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