Fast Evaluation of Electromagnetic Fields Using a Parallelized Adaptive Cross Approximation

This communication shows a novel application of the adaptive cross approximation (ACA). A hierarchical ACA is presented for accelerating the evaluation of electromagnetic fields from a known current distribution, as it is required in the post-processing stage of the method of moments. Furthermore, a parallelization which employs a master-worker scheme is outlined, resulting in a highly efficient parallel code. Numerical examples validate the accuracy and efficiency of the method for various electromagnetic problems such as field coupling and radiation problems. It is demonstrated that the proposed approach is applicable in a broad frequency range, where it provides a definable error bound. Moreover, an acceleration factor of more than 200 is achievable, making an extensive field analysis of electrically large objects feasible.