New Implementation of the Moment Method Based on the Impedance Operator to Study the Dispersion Characteristics of Microstrip Lines

An original integral method (MR-GEC) based on the moment method (MoM) is developed in this paper to study dispersion characteristics of uniform microstrip lines. The introduction of a novel impedance operator by using the Generalized Equivalent Circuit (GEC) approach offers the simplicity of the resolution of the boundary problems by the transposition of problems in fields to electric circuit problems and the implementation of numerical procedures with a minimum of analytical pretreatment. The impedance/admittance operator is discretized in matrix forms by Galerkin’s procedure, using orthonormal periodic wavelets as testing functions. A new algorithm is developed employing a multiresolution analysis (MR) which is based on the Discrete Wavelet Transform (DWT) to reduce the computational effort in filling the impedance matrix entries. Using the proposed MRGEC method and subsequently applying a threshold operation, a substantial reduction in the number of elements of the impedance matrix and in the memory storage are attained without virtually affecting the solution accuracy. The numerical results obtained in this paper reveal the validity of the proposed method.