Vol. 5, issue 02, article # 9

pdf Belov N. N. Calculation of the Riccati-Bessel functions by the ascending recursion. // Atmospheric and oceanic optics. 1992. V. 5. No. 02. P. 107-109.
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Criteria for estimating the length of correctly calculated sequences of Riccati––Bessel functions of the first kind (RBF1) are constructed. The dimensions of sequences correctly calculated by the ascending recursion using single, double and fourfold precision of the representation of the complex numbersare studied. Algorithms of the precision control of the RBF1 calculations are proposed that, provide numerical studies based on the Mie theory to be done without operational storage redundancy for the RBF1 arrays that, in turn, facilitates on the Mie theory calculations up to extremely great values of the diffraction parameter of aerosol particles (~ 106 and more).