On the Properties of Loop-Flower Basis Functions
关键词:
Conditioning behavior, electromagnetic scattering, Gram matrices, loop-flower basis functions, low frequency breakdown摘要
This paper presents a mathematical analysis of loop-flower basis functions which are adopted to cure low frequency breakdown in integral equations for solving electromagnetic scattering problems. Flower basis functions will be analyzed based on RWGconnected graph generated according to RWG basis functions. This paper will also explore the conditioning behavior of loop-flower Gram matrices which greatly contributes to the whole conditioning of electric field integral equation. The performance of loop-flower basis functions is confirmed by numerical results that show fast convergence rate of iteration solvers, which are better than those of loop-star basis functions.
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