Efficient analysis of printed loops using complex images and a coordinate transformation on curved segments

Wire loops printed on grounded dielectric substrates are analyzed using a moment method where the integrations for evaluating impedance matrix elements are reduced from three dimensional (3-D) to one-dimensional (1-D) through the use of a series approximation to the eigenmode spectral functions and a coordinate transformation. Prony's method is used in evaluating the series coefficients of complex image terms and results are shown to be accurate and significantly faster to compute.