turkmath.org

The fast multipole method (FMM), and its multilevel version, namely, the multilevel fast multipole algorithm (MLFMA), have been selected among the top 10 algorithms of the 20th century by the IEEE Computer Society. MLFMA implementations that are based on sophisticated combinations of diverse components from different areas, including but not limited to addition theorems, multipole expansions, diagonalization, wave theory, numerical techniques, programming, and high-performance computing, have been used for fast and accurate solutions of complex and large-scale problems in electromagnetics. Some real-life problems focused recently by alternative implementations of MLFMA are antennas for wearable and implantable technology, metamaterials for subwavelength resolution and invisibility cloaking, nanoantennas for energy harvesting, and medical imaging tools for the diagnosis of various diseases. MLFMA allows for the analysis of complex structures in these areas without resorting to any infinity, periodicity, and similarity assumptions and fundamental approximations, hence, lets engineers investigate prototypes of future devices and tools in detail before their actual fabrications. This talk will provide some basic information on the underlying mechanisms in MLFMA implementations, as well as examples of simulations in recently popular areas.