Accurate Computational Electromagnetics (CEM) Techniques for High Frequency Applications

"High-accuracy electromagnetic simulation method is traditionally very inefficient.Recently however, MLFMA (multilevel fast multipole algorithm) has demonstrated theability to solve scattering problems accurately up to X band (10 million unknowns).Although orders of magnitude faster than traditional accurate methods, in thehigh-frequency regime such as X band, these fast methods are still not as fast asapproximate methods. The difference in speed is about factor of 100. But theapproximate methods are not as accurate as MLFMA, especially in the lower frequencyregime.We seek to further accelerate MLFMA to bring its speed closer to high-frequencyapproximation methods, but at the same time, maintaining its accuracy. We will usea combination of physics-based method as well as MLFMA to achieve the goal. Withthis development, we hope to increase the speed of MLFMA by a factor of 10 or more.Then we can solve scattering problems in the X band with the high-accuracy methodusing routinely available computational resource. The computational and memorycomplexities of such algorithms will be comparable to codes such as XPATCH. Thealgorithms derived, aided by mathematical analysis, will capture the entire physicsof the scattering problem, involving surface wave and edge diffraction phenomena. The successful development of this technology will add orders of magnitude to thespeed of existing high-accuracy electromagnetic simulation software, espe