A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations

We present a fully broadband solver for fast and accurate solutions of multiscale electromagnetic problems involving both coarse and fine details. The implementation is based on a multiscale multilevel fast multipole algorithm that employs low-frequency and high-frequency expansions at suitable levels of incomplete tree structures. In addition, hybrid integral equations are used to properly formulate scattering and radiation problems in the frequency domain. Numerical results demonstrate the superior accuracy, efficiency, and stability of the implementation when solving challenging problems that cannot be handled via traditional methods.