Comparison of Radiation Modeling Techniques Up to 10 GHz—Application on a Microstrip PCB Trace

This paper presents a comparative study on the electromagnetic emissions modeling of a microstrip signal trace. Different modeling techniques based on transmission-line theory, simulation program with integrated circuits emphasis circuit analysis and electromagnetic topology are investigated to predict the radiated emissions up to 10 GHz. All of them use different simplifications to calculate the trace current distribution and the radiated emissions. For both matched and mismatched cases, the radiation frequency response for a fixed direction in the far-field region is calculated with an analytical method, a circuit method and a modified Kron´s method for electromagnetic compatibility. Then, results are compared with a full-wave simulation and good agreement is found over a wide frequency range.