A SIMPLIFIED EXPRESSION FOR THE SELF MUTUAL IMPEDANCE BETWEEN COPLANAR AND PARALLEL SURFACE MONOPOLES

A simplified expression that is valid for both the self- and mutual-impedances between two coplanar and parallel piecewise sinusoidal (PWS) surface monopoles is presented. In contrast to the currently existing two-dimensional integral form, the presented expression involves only a one-dimensional integral. The integrand remains regular even for the case of self-impedance and does not involve any special functions such as the exponential integral. The integral is in a form suitable for efficient implementation on a computer. The expressions are valid when the two surface monopoles are of the same size. Comparison is made with literature to demonstrate the validity of the expression.