An improved algorithm for numerical evaluation of the Hankel transform is developed. The algorithm originally proposed by Yu et al. [Opt. Lett. 23, 409 (1998) [CrossRef] ] uses the quadrature in which the nodes are zeros of the Bessel function. In this work, it is shown that the accuracy of the algorithm can be significantly improved, with virtually no increase in computation time, via two steps. One is to halve the weight of the last node, and the other is to extrapolate a function tail using the modified Bessel function of the second kind, which gives the analytical estimation of the integral remainder.

中文翻译：

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拟离散汉克尔变换的改进算法

开发了一种改进的Hankel变换数值评估算法。该算法最初由Yu等人提出。[选择。来吧 23，409（1998）[交叉引用] ]使用，其中节点是贝塞尔函数的零点正交。在这项工作中，它表明，通过两个步骤，可以显着提高算法的准确性，而实际上不会增加​​计算时间。一种方法是将最后一个节点的权重减半，另一种方法是使用第二种改进的Bessel函数外推函数尾部，从而对积分余数进行解析估计。