A moment formulation for static field problems of dielectric objects

The application of quasi-static techniques in the characterization of microstrip is very important in the overall development of integrated circuits. Various analytical and numerical methods have been used to calculate the static potential, the capacitance, and/or the characteristic impedance of a microstrip structure. In this letter, a simple formulation is presented for the computation of static field of dielectric bodies. Through the definitions of static scattering, static reaction, an operator equation based on the equivalent surface charge distribution is obtained. This letter presents the basic mathematical techniques for reducing functional equations to matrix equations. The surface formulation can be easily modified to handle static field problems of magnetic bodies.