Time-domain finite-element simulation of three-dimensional scattering and radiation problems using perfectly matched layers

Analysis of transient electromagnetic scattering using spectral-element time-domain method

“…To obtain far field data, we introduce an artificial boundary far S inside the solution domain, which can be placed at or near the surface of the scatterer, as shown in fig.2. The equivalent electric and magnetic currents can be determined from the fields calculated by SETD [7]. …”

Several novel TDFEMs based on different temporal basis functions and applications of UWB antennas

“…As it is rather complex in view of the augmented PML regions, for simplicity, when considering the Newmark-ȕ method, we discarded the contribution from the source and pertinent system loss terms [M], {p} and {q} in (3) which slightly affect the stability of the entire system. Then performing Z transform in (3) we obtained testing functions W n (t) for different temporal basis functions, and corresponding fully-discretized formulations and stability, which is shown in Table 1, with "CS" denotes "conditional stability", and "UCS" denotes "unconditional stability" [7].…”

Recent advances of the time-domain finite element method for computational electromagnetics

“…There are three main challenges for the TDFEM that have to be overcome to make it a powerful, efficient, and accurate method for the simulation of broadband antennas. The first one is the mesh truncation, which has been accomplished with the complicated implementation of PMLs [5]. The second challenge is the accurate modeling of the antenna feed, which has been accomplished with the development of the WPBC [6].…”

“…Our earlier work includes the development of a general approach for the stability analysis of various time-domain finite element schemes [1], the modeling of dispersive media [2], the study of orthogonal vector basis functions to eliminate the need to solve the mass matrix equation in each time step [3], and the development of perfectly matched layers (PMLs) and boundary integral equations (BIEs) for the mesh truncation in the TDFEM analysis of open-region scattering and radiation problems [4,5]. During the past three years, further progress has been made to develop the TDFEM into such a stage that it can effectively be used to solve a variety of computational electromagnetics problems such as characterization of broadband antennas and arrays.…”