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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 11, Iss. 9 — Sep. 1, 1972
  • pp: 1919–1923

Computation of Bessel Functions in Light Scattering Studies

William D. Ross  »View Author Affiliations


Applied Optics, Vol. 11, Issue 9, pp. 1919-1923 (1972)
http://dx.doi.org/10.1364/AO.11.001919


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Abstract

Computations of light scattering require finding Bessel functions of a series of orders. These are found most easily by recurrence, but excessive rounding errors may accumulate. Satisfactory procedures for cylinder and sphere functions are described. If argument z is real, find Yn(z) by recurrence to high orders. From two high orders of Yn(z) estimate Jn(z). Use backward recurrence to maximum Jn(z). Correct by forward recurrence to maximum. If z is complex, estimate high orders of Jn(z) without Yn(z) and use backward recurrence.

© 1972 Optical Society of America

History
Original Manuscript: February 8, 1972
Published: September 1, 1972

Citation
William D. Ross, "Computation of Bessel Functions in Light Scattering Studies," Appl. Opt. 11, 1919-1923 (1972)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-11-9-1919

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