An improved numerical approach to Sommerfeld integrals in half lossy space by using complex image method

How to obtain the results of the time-consuming Sommerfeld integrals in multiplayer media quickly is very important to the EMC problems such as lighting, grounding and PCB design. In this paper, an improved method based on the complex image approach is developed to calculate the Sommerfeld integrals. A self-adaptation method to find a suitable sampling is presented. Generalized pencil-of-function method is used to obtain the complex images. With the method, the value of Green's function in half lossy space can be obtained quickly and accurately. The computational results are in good agreement with those obtained by numerical integral method.