Regularized Method of Moments for Time- Harmonic Electromagnetic Scattering

Abstract

This chapter extends the application of the theory of the radial basis function method to computational electromagnetics. Several key mechanical issues involved in the process of high-precision calculation of electromagnetic scattering are discussed. A regularized method of moments based on the modified fundamental solution of the three-dimensional Helmholtz equation is constructed in this chapter. The origin intensity factor is used to evaluate the singular term of interpolation matrix. Non-uniqueness at internal resonance is avoided by using the modified fundamental solution as the basis function. The regularized method of moments reduces the consumed CPU time by half compared to the traditional method of moments, while stability and accuracy are not affected. Experiments indicate that the regularized method of moments can accurately evaluate the radar cross section of perfect conducting scatter over all frequency ranges.

Keywords: Electric field integral equation; Radar cross section; Method of moments; Modified fundamental solution.

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