Abstract

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.

PDF Article

References

  • View by:
  • |
  • |

  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).

Bryant, F. D.

F. D. Bryant, dissertation, Auburn University, 1968.

F. D. Bryant and P. Latimer, J. Coll. Interf. Sci. 30, 291 (1969).

Classen, R. J.

D. Deirmendjian and R. J. Classen, J. Opt. Soc. Am. 51, 620 (1961).

Deirmendjian, D.

D. Deirmendjian and R. J. Classen, J. Opt. Soc. Am. 51, 620 (1961).

Greenberg, J. M.

A. C. Lind and J. M. Greenberg, J. Appl. Phys. 37, 3195 (1966).

J. M. Greenberg, in Stars and Steller Systems (Chicago U. P., Chicago, Ill., 1968), Vol. VII, p. 221.

Latimer, P.

F. D. Bryant and P. Latimer, J. Coll. Interf. Sci. 30, 291 (1969).

Lind, A. C.

A. C. Lind and J. M. Greenberg, J. Appl. Phys. 37, 3195 (1966).

Napper, D. H.

D. H. Napper and R. H. Ottewill, Kolloid-Z. Polymer 218, 41 (1967).

Ottewill, R. H.

D. H. Napper and R. H. Ottewill, Kolloid-Z. Polymer 218, 41 (1967).

van de Hulst, H. C.

H. C. van de Hulst, Optics of Spherical Particles (Duwaer, Amsterdam, 1946).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

Watson, G. N.

G. N. Watson, Theory of Bessel Functions, 2nd ed. (Cambridge University Press, Cambridge, 1966).

Other (11)

H. C. van de Hulst, Optics of Spherical Particles (Duwaer, Amsterdam, 1946).

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

D. Deirmendjian and R. J. Classen, J. Opt. Soc. Am. 51, 620 (1961).

D. H. Napper and R. H. Ottewill, Kolloid-Z. Polymer 218, 41 (1967).

F. D. Bryant, dissertation, Auburn University, 1968.

F. D. Bryant and P. Latimer, J. Coll. Interf. Sci. 30, 291 (1969).

J. M. Greenberg, in Stars and Steller Systems (Chicago U. P., Chicago, Ill., 1968), Vol. VII, p. 221.

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.

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).

G. N. Watson, Theory of Bessel Functions, 2nd ed. (Cambridge University Press, Cambridge, 1966).

A. C. Lind and J. M. Greenberg, J. Appl. Phys. 37, 3195 (1966).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.