Article
Keywords:
Riccati-Bessel functions; Miller method; Mie coefficients
Summary:
The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.
References:
[1] M. Abramowitz I. A. Stegun:
Handbook of mathematical functions with formulas, graphs and mathematical tables. Washington, National Bureau of Standards, 1964 (Russian translation, Moskva, Nauka, 1979).
MR 0757537
[2] C. F. Bohren D. R. Huffman: Absorption and Scattering of Light by Small Particles. J. Wiley, New York 1983 (Russian translation, Moskva, Mir, 1986).
[3] M. Kerker: The Scattering of Light and Other Electromagnetic Radiation. Academic Press, New York 1969.
[4] V. I. Smirnov:
Kurs vysšej matematiki. Tom III. Časť 2. Moskva, Nauka, 1974.
MR 0361650
[5] H. C. van de Hulst:
Light Scattering by Small Particles. J. Wiley, New York 1957 (Russian translation, Moskva, Inostrannaja literatura, 1961).
MR 0087467
[6] G. N. Watson:
A Treatise on the Theory of Bessel Functions. University Press, Cambridge 1945.
MR 1349110