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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 60, Iss. 7 — Jul. 1, 1970
  • pp: 904–907

General Solutions for the Extinction and Absorption Efficiencies of Arbitrarily Oriented Cylinders by Anomalous-Diffraction Methods

DAN A. CROSS and PAUL LATIMER  »View Author Affiliations

JOSA, Vol. 60, Issue 7, pp. 904-907 (1970)

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The anomalous-diffraction approximation of Van de Hulst is used to derive closed-form expressions for the absorption and extinction efficiencies of the long absorbing cylinder at normal and oblique incidence. The predictions of these expressions are compared with those of the exact theory for cylinders of various sizes, refractive indices, degrees of absorption, and orientations. A correction for the approximate solution at very oblique incidence is suggested.

DAN A. CROSS and PAUL LATIMER, "General Solutions for the Extinction and Absorption Efficiencies of Arbitrarily Oriented Cylinders by Anomalous-Diffraction Methods," J. Opt. Soc. Am. 60, 904-907 (1970)

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  1. H. C. van de Hulst, Optics of Spherical Particles (Duwaer, Amsterdam, 1946).
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  3. D. Deirmendjian and R. J. Classen, J. Opt. Soc. Am. 51, 620 (1961).
  4. D. H. Napper and R. H. Ottewill, Kolloid-Z. Polymer 218, 41 (1967).
  5. F. D. Bryant, dissertation, Auburn University, 1968.
  6. F. D. Bryant and P. Latimer, J. Coll. Interf. Sci. 30, 291 (1969).
  7. J. M. Greenberg, in Stars and Steller Systems (Chicago U. P., Chicago, Ill., 1968), Vol. VII, p. 221.
  8. The extinction, scattering, and absorption efficiencies are here represented in Deirmendjian's3 notation, as Kext, Ksca, and Kabs, respectively; in Van de Hulst's treatment, the same quantities are called Qext, Qsca and Qabs. They are related by Kext = Kabs+Ksca.
  9. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, Natl. Bur. Std. (U. S.) Handbook Appl. Math. Ser. 55 (U. S. Govt. Printing Office, Washington, D. C., 1964; Dover, New York, 1965).
  10. G. N. Watson, Theory of Bessel Functions, 2nd ed. (Cambridge University Press, Cambridge, 1966).
  11. A. C. Lind and J. M. Greenberg, J. Appl. Phys. 37, 3195 (1966).

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