Self-Correcting Interpolation Technique for Multi-Source Electromagnetic Scattering Problems

The calculation of the monostatic radar cross section (MRCS) for electrically large targets is computationally intensive due to the need to solve the method of moment (MoM) system multiple times with multiple right-hand sides (RHSs), as many as the incident directions considered. In this paper, we propose a novel approach able to minimize the total number of solutions required for a set of incident excitations. The MoM is applied to a reduced sample of the excitations and an algebraic interpolation procedure is then applied to obtain the currents solution for the rest of directions. Importantly, the new currents solutions are obtained without the need for solving the matrix systems. This interpolation method is based on the projection of the new excitation vectors onto the reduced sample vector space. Next, an a priori error estimation technique is also applied to enhance both efficiency and accuracy. Additionally, a self-correction procedure is proposed to improve the accuracy of the solution of the initial reduced sample, so that they can be solved with a low accuracy (in a reduced time). Numerical results demonstrate the capabilities and efficiency of the proposed approach for MRCS computation in challenging scenarios, significantly reducing computational time and resources compared to existing techniques.