M. Ouda

Minimizing the computational cost and memory requirements for the capacitance calculation of 3-D multiconductor systems

A new approach is presented which minimized the computational cost and memory requirements for capacitance calculations of three-dimensional multiconductor systems. The proposed approach, based on the integral equation method (IEM), calculated the capacitance of three-dimensional geometry of ideal conductors in two stages. In the first stage, the integral equation method was used to obtain the charge distribution on each conductor in isolation. In the second stage, the multiple interaction (coupling) among the conductors was included by applying the IEM to the whole structure and considering the charge distribution, obtained in the first stage, as a discretized entire domain basis function. The order of the interaction matrix was thus reduced to the order of conductors in the structure. The proposed method was tested for various geometries and it resulted in tremendous savings in computational time and memory storage; moreover, it gave very good accuracy in comparison with the classical integral equation method. >

Multiple Scattering by Dielectric Cylinders Using a Multifilament Current Model

A numerical method is presented for the problems of transverse magnetic (TM) and transverse electric (TE) multiple scattered fields from homogeneous dielectric and imperfectly conducting parallel cylinders. The numerical solution uses fictitious filamentary sources to simulate the field scattered by and transmitted into the cylinders. The currents of the fictitious sources are solved for subject to the boundary conditions. Numerical results, for multiple scattering by two cylinders having different parameters, are given and compared with method of moments solutions.

Efficient method for frequency dependent inductance and resistance calculations

An efficient approach is presented to calculate the inductance and resistance matrices for three-dimensional multiconductor structures. The proposed approach, based on the partial element equivalent circuit method, calculates the inductance and resistance matrices in two stages. In the first stage, each conductor is considered separately. The conductor is discretized into thin filaments and then the filaments are assembled into the desired equivalent impedance matrix using network theory. The mesh analysis is then used to solve for the complex frequency-dependent impedance of the conductor. In the second stage, the whole structure is considered and is assembled into an equivalent impedance matrix by the network theory. The self inductance and resistance of each conductor obtained in the first stage are used in the impedance matrix. The mutual inductance between the conductors is estimated using the filament approximation. Then, the inductance and resistance matrices are obtained by the mesh analysis.

Radiation and scattering analysis of two-dimensional conducting and dielectric objects using the generalized multiple multipole technique

In this paper, the generalized multiple multipole technique [1] is used to solve for the problems of scattering and radiation by cylinders of arbitrary cross section. The formulation is carried out for the problems of homogeneous dielectric, imperfectly and perfectly conducting cylinders. The problems are formulated using sets of fictitious multipole sources to simulate the fields of the cylinders. Application of the boundary conditions yields a system of linear equations which can be solved for the unknown expansion coefficients.

Analysis of electromagnetic interference in two dimensional problems using the generalized multipole technique

A simple numerical solution is given for the problem of electromagnetic coupling through a dielectric-loaded slot on a conducting cylindrical shell of arbitrary cross section. The exciting source is assumed to be either an incident TM plane wave or an electric line source placed inside the shell. The solution uses fields generated by fictitious multipole line sources to simulate the fields of the slotted cylinder. The application of the appropriate boundary conditions yields a system of linear equations which can be solved for the unknown coefficients of the multipole expansions. The coefficients can then be used to obtain the desired field and other quantities of interest.

Scattering from lossy dielectric cylinders using a generalized multiple multipole technique with impedance boundary conditions

A numerical method is presented for the problem of a transverse electric (TE) scattered field from homogeneous lossy dielectric cylinders. The numerical solution uses the generalized multiple multipole technique to simulate the field scattered by the cylinders. The expansion coefficient is solved for, subject to the impedance boundary conditions. Numerical results are given and compared with available analytical solutions. The numerical results are in good agreement with the exact analytic solution for circular cylinders. The usefulness of the method lies in its simplicity of application and in its rapid convergence.<<ETX>>