Error estimate of the Fourier-Bessel expansion in computation of field distributions

Z. Delecki
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Abstract

Formulation, solution, and numerical results are presented for the error estimation of the Fourier-Bessel expansion in the computation of field distribution in coaxial regions. It is shown that there exists an optimal number of terms of the expansion which gives the minimum mean square error. This optimal number of terms is a function of the eigenvalue uncertainties.<>
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场分布计算中傅里叶-贝塞尔展开的误差估计
给出了计算同轴区域场分布时傅里叶-贝塞尔展开误差估计的公式、解法和数值结果。结果表明,存在使均方误差最小的展开式的最优项数。这个最优的项数是特征值不确定性的函数。
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