• DOI:10.1364/AO.15.000668
• Corpus ID: 6489018

Generating bessel functions in mie scattering calculations using continued fractions.

@article{Lentz1976GeneratingBF,
  title={Generating bessel functions in mie scattering calculations using continued fractions.},
  author={William J. Lentz},
  journal={Applied optics},
  year={1976},
  volume={15 3},
  pages={
          668-71
        }
}

• W. Lentz
• Published 1 March 1976
• Mathematics
• Applied optics

A new method of generating the Bessel functions and ratios of Bessel functions necessary for Mie calculations is presented. Accuracy is improved while eliminating the need for extended precision word lengths or large storage capability. The algorithm uses a new technique of evaluating continued fractions that starts at the beginning rather than the tail and has a built-in error check. The continued fraction representations for both spherical Bessel functions and ratios of Bessel functions of consecutive order are presented.