Cylindrical Bessel Functions for a Large Range of Complex Arguments.

摘要

The evaluation of Bessel functions of the first and second kinds, covering a wide range of complex arguments and integer orders, is required in the determination of the intensity of acoustic reflection from absorbing bodies. Numerical problems associated with the calculations are discussed, and various means by which these problems have been overcome are explained. The numerical methods used in calculating the bessel functions of the first, second, and third kinds are given, as well as sample results and numerical checks in the form of computer plots and printouts. (Author)