Advanced Computational Methods for Study of Electromagnetic Compatibility

The present text proposes development of efficient, accurate and rapidly-convergent algorithms for the simulation of propagation and scattering of electromagnetic fields within and around structures that (i) Consist of complex combinations of penetrable materials as well as perfect and imperfect conductors, and, (ii) Possess complex geometrical characteristics, including open surfaces, metallic coatings, as well as geometric singularities such as corners, edges and multi-scale features. These are configurations of fundamental importance in diverse fields, with application to (a) Electromagnetic compatibility (EMC), (b) Electromagnetic interference on cavity-bound electronics (EMI), (c) Evaluation of electromagnetic response of dielectric/magnetic coated conductors, and (d) Evaluation of scattering by modern metallic/nonmetallic aircraft structures - amongst many others. The simulation of electromagnetic wave propagation in such complex structures gives rise to a host of significant computational challenges that arise from presence of complex material arrangements, geometric singularities, cavity resonances, and ill-conditioning, amongst other complicating factors. Our electromagnetic solvers have provided accurate solutions for highly challenging problems of great importance in science and engineering. The proposed effort will extend the automatic applicability of such methods to the highly-complex, multi-scale problems arising in the context of Electromagnetic Compatibility, and related areas - as listed in points (a) through (d) above. BENEFIT: The PDE software needs of large high-tech companies, government labs and DoD (such as Lockheed Martin, Northrop Grumman, NASA, DoD agencies, etc.) are massive. MathSys Inc. is well positioned to cater to the needs of such entities, and has open ties at key levels of such organizations. We are certain that the successful completion of the proposed development effort will find manifold uses and it will generate significant business opportunities for our company.