Development of High Frequency Methods for Electromagnetic Scattering Problems based on Asymptotic Integral Equation Formulation

Our objective is to construct a new solution procedure for high frequency electromagnetic scattering and propagation problems, and to initiate building and validation of a new 3D high frequency Maxwell equations solver. The proposed method will constitutean extension of a recent asymptotic formulation of the electromagnetic integral equations for high frequency scatttering and radiation problem. The method will utilize a recursive procedure for solving Maxwell's equations in the integral form based on twoelements: (a) analytical representation of the solution Ansatz including single and multiple scattering effects,creeping wave contributions, and diffraction on surfaces with edges and corners, b) suitable parameterization of the leading zero-th ordercomponent of the Ansatz in a differentiable form. Feasibility and computational efficiency of two different procedures for constructing the zero-th order Ansatz will be investigated. Thefirst procedure will construct the zero-th order Ansatz for the full object by using ray tracing and wavefront propagation techniques. The other, domain decomposition based procedure, will be based on multiple scattering theory. The results will beimplemented and tested a research version of the code which we intend to fully develop in the second phase.Significant improvement in the accuracy, domain of applicability and speed of the existing high frequency solvers which are of interest to DoD andin commercial applications.Ability to treat a wider range of problems of interset to DoD and in commercialapplications, such as electromagnetic interference problems for aircraft antennas.