A novel technique for the umerical solution of unbounded bidimensional boundary-yalue problems is presented in this work. The unbounded domain is compressed ot a rectangle by applying an independent variable change to each coordinate. AS partial differential equation with variable coefficients is obtained in the compressed domain by applying the cnain rule to each term of the partial differential equation that describes the field in the unbounded domain. The equation in the compressed domain is discretized by means of the Finite-Difference Method and solved with the over-relaxation iterative algorithm. The proposed method is applied to solve the Laplace's equation for the electrostatic potential in the transverse section of unbounded Stripline and Microstrip printed transmission lines, as well as for the computation of the per-unit length capacitances of these structures. The characteristic impedance of these transmission lines is computed as a function of the width of the center conductor. The obtained results are in very good agreement with results published in the specialized literature.
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