Efficient Algorithms For The EM Calculation In The Multilayered Structure

In this paper, we mainly focus on the EM radiation of the arbitrary shaped object in the multilayered structure. There are two steps to slove this problem: first we need accurate spatial-domain Green's functions, and second we need to apply MoM or other accerated methods to compute the radiation problem.For the first step, we analyze the three forms of MPIE, named Formulation A, B and C, and illustrate the reason we choose Formulation C. Based on the obtained spectral-domain Green's functions, we use Sommerfeld integrals, discrete complex image method (DCIM) and the improved GE's method to compute the spatial-domain Green's functions, respectively. Especially when the first interface and the last interface are both PECs, in the DCIM, in order to use the Sommerfeld identity conveniently with the emergency of an artificial branch point, which does not physically exist, makes the incorrect of the values simulated by the GPOF, resulting in the oscillation of the spatial-domain Green' functions, while in the improved GE's method, GPOF simulates the spectral-domain Green's functions directly and can avoid the artifical branch point, which makes possible of obtaining the accurate spatial-domain Green's functions.For the second step, we analyze a MoM-based accerated method, the MLGFIM, and demonstrate its complexity has advantage over MoM. Also, we discuss the radiation problem of the far field. This problem cannot be solved by simply applying MPIE, but by employing the reciprocity theorem.At last, we discuss the calculation of the layered Green's functions in the rectangular waveguide. Due to the high-speed development of the integrated circuits, this problem attracts more and more attention. Earlier, researchers mainly use the image method and the DCIM, but in the image method, though accurate, it becomes cumbersome when the number of sampled souce point becomes large; in the DCIM, because the waveguide can be seen as a lot of souce points in shielded structure, the emergency of the artificial branch point makes it incorrect. The improved GE's method can be a good candidator to solve this kind of problems.