Capacitance Computation of a Charge Conducting Plate using Method of Moments
- February 2, 2018
- Posted by: RSIS
- Categories: Electrical and Electronics Engineering, Engineering
International Journal of Research and Scientific Innovation (IJRSI) | Volume V, Issue I, January 2018 | ISSN 2321–2705
Capacitance Computation of a Charge Conducting Plate using Method of Moments
Kishore Maity
Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, NY, 13244-1240.
Abstract—In this paper the capacitance of a charge conducting plate has been calculated using Method of Moments with MATLAB. The result is also compared with the Least Square Approximation to analyze the charge distribution of a metallic surface.
Keywords—Capacitance, Method of Moments, Least Square Approximation.
I. INTRODUCTION
The field of Computational Electromagnetics has become popular and got rapid pace in the last two decades. There were several techniques has been proposed in the past to solve the Electromagnetics problem due to the radiation of electromagnetic objects such as transmission line , wire antennas and scatters. Some of this techniques are Methods of Moments (MOM),finite difference method (FD), Monte Carlo method (MCM), finite element method (FEM), and variation methods (VM) etc. But MOM has some certain advantages and disadvantages depending upon the formulation of the problems. Tactically MOM used to solve the differential equations. The method of moment (MOM) is a numerical procedure for solving linear operator equation by transforming it into a system of simultaneous linear algebraic equation, referred to as matrix equation. Many problems in electromagnetics can be established in the form of integral equations. An integral equation is one in which the unknown function appears in the integrand. The MOM provides a way to solve such integral equations for both the static as well as time harmonic electromagnetic fields.
As we goes from MHz to GHz of frequency the Electromagnetics Modelling(EM) has become a popular subject of interest in the last two decades. The high operating frequency of electromagnetic objects causes simultaneous electromagnetics interaction within the circuits. So it is very important to evaluate the capacitance and charge distribution of the metallic structures very accurately in the integrated circuits. The MOM helps us to transform the integral equation into a matrix equations based on the expansion of the unknowns in terms of the basis function with unknown coefficients such as charge distributions and based on this capacitance can be calculated.
