Generating bessel functions in mie scattering calculations using continued fractions

Applied Optics

Volumn 15, Issue 3, 1976, Pages 668-671

  Lentz, William J ^a  

^a US Army Communications and Electronics Command   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICS;

EID: 0016927322     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.15.000668     Document Type: Article

References (12)

1. D. Deirmendjian, Electromagnetic Scattering on Spherical Polydispersions (American Elsevier, New York, 1969), Chap. 2.
2. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
3. J. Todd, in Handbook of Physics, E. U. Condon and H. Odishaw, Ed. (McGraw-Hill, New York, 1967), p. 1-93.
4. J. J. Stephens, and J. R. Gerhardt, J. Meterol. 18, 818 (1961).
5. F. B. Hildebrand, Introduction to Numerical Analysis (McGraw-Hill, New York, 1974), pp. 30-31.
6. British Association for the Advancement of Science, Mathematical Tables. Vol. 10: Bessel Functions; Part 11; Functions of Positive Integer Order Cambridge (U.P., London, 1952).
7. W. D. Ross, Appl. Opt. 11, 1919 (1972).
8. W. J. Lentz, "A New Method of Computing Spherical Bessel Functions of Complex Argument with Tables," ECOM 5509 (1973), AD 767223.
9. W. B. Jones, in Páde Approximants and Their Applications, P. R. Graves-Morris, Ed. (Academic, New York, 1973).
10. G. Blanch, SIAM Rev. 6, № 4 (1964).
11. W. Gautschi, SIAM Rev. 9, № 1 (1967).
12. M. Abramowitz, F. W. J. Olver, and H. A. Antosiewicz, in Handbook of Mathematical Functions, M. Abramowitz and I. A. Stegun, Eds., Applied Mathematics Series 55 (U.S. Govt. Printing Office, Washington, D.C., 1965), Chaps. 3, 9, 10.