Solution box: Solbox-05

摘要

In this issue, a new set of problems (SOLBOX-05) is introduced. Relatively large arrays of metallic wires are considered as transmission lines to carry electromagnetic patterns along distances long with respect to wavelength. The main challenge is related to the electrical sizes of the problems, which lead to relatively large numbers of unknowns, even when surface formulations are used. In addition, it is required to compute the near-zone electromagnetic fields in the vicinity of the wires, which might be difficult to accurately achieve (e.g., with 1% maximum error). The arrays are modeled as finite (50 × 50 wires with finite lengths), while the wires are periodically arranged. On the other hand, the sample solutions that are also included in this issue do not directly use the periodicity. Hence, these solutions with an accelerated algorithm (the Multilevel Fast Multipole Algorithm) are feasible but slow. Alternative solutions of the same problems by other solvers, possibly exploiting the symmetry, are welcome.