The Error Cross-Section Method for Quantifying the Error in Electromagnetic Scattering Problems
Keywords:
CFIE, numerical error, radar crosssectionAbstract
The Error Cross-Section (ECS) is introduced to quantify the error associated with the numerical solution of electromagnetic scattering problems. The ECS accounts for different approximations and inaccuracies in the object discretization and numerical computations. The ECS definition is based on the power conservation principle and is visualized by comparing it to the radar cross-section of a thin wire for twodimensional (2-D) problems or a small sphere for three-dimensional (3-D) problems. The proposed ECS method is independent of the adopted numerical technique and therefore can be used to give confidence in the obtained solution using several methods, such as the Method of Moments (MoM) and the Finite-Difference FrequencyDomain (FDFD) method. Application of the ECS to the optimization of certain parameters for some numerical formulations, such as the CombinedField Integral Equation (CFIE) is also presented.
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