Applied Physics B

, Volume 29, Issue 2, pp 117–124 | Cite as

On the validity of modeling rayleigh scatterers by spheroids

  • T. B. A. Senior
  • H. Weil
Contributed Papers


For single homogeneous lossy dielectric Rayleigh particles, the manner in which the particle shape affects the absorption and scattering is examined by computing the polarizability tensor elements using a general purpose program valid for any rotationally symmetric body. The results for a number of generic shapes are compared with those for the corresponding spheroids. When the dielectric constant is real and negative, the resonances attributable to bulk and to shape-dependent or surface polariton modes are tracked as functions of the length-to-width ratio of the particle and the bulk dielectric constant. The adequacy of using spheroid approximations for individual particles in a dispersion is also discussed.


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  1. 1.
    A.C. Holland, G. Gagne: Appl. Opt.9, 1113–1121 (1970)Google Scholar
  2. 2.
    W. Wiscombe, A. Mugnai: InLight Scattering by Irregular Particles, ed. by D.W. Schuerman (Plenum Press, New York 1980) pp. 141–152Google Scholar
  3. 3.
    J.M. Greenberg: Loc. cit., pp. 7–24Google Scholar
  4. 4.
    J. Embury: Loc. cit., pp. 97–102Google Scholar
  5. 5.
    D.R. Huffman, C.F. Bohren: Loc. cit., pp. 103–111Google Scholar
  6. 6.
    T.B.A. Senior: Appl. Opt.19, 2483–2485 (1980)Google Scholar
  7. 7.
    T.B.A. Senior, T.M. Willis III: Rayleigh Scattering by Dielectric Bodies. IEEE Trans. AP-30, (November 1982)Google Scholar
  8. 8.
    T.B.A. Senior: Radio Sci.11, 477–482 (1976)Google Scholar
  9. 9.
    M. Born, E. Wolf:Principles of Optics, 2nd ed. (Pergamon Press, Oxford 1964) p. 658Google Scholar
  10. 10.
    D.F. Herrick, T.B.A. Senior: Appl. Phys.13, 175–183 (1977)Google Scholar
  11. 11.
    D.F. Nelson:Electric, Optic, and Acoustic, Interaction in Dielectrics (Wiley, New York 1979) pp. 184–192Google Scholar
  12. 12.
    R. Englman, R. Ruppin, J. Phys. (C) (Proc. Phys. Soc.)1, 614–643 (1968)Google Scholar
  13. 13.
    R. Ruppin, R. Englman: Rep. Prog. Phys.33, 149–196 (1970)Google Scholar
  14. 14.
    D. Langbein: J. Phys. A9, 627–644 (1976)Google Scholar
  15. 15.
    R. Fuchs: Phys. Rev. B11, 1732–1740 (1975)Google Scholar
  16. 16.
    R. Fuchs: Phys. Rev. B.18, 7160–7162 (1978)Google Scholar
  17. 17.
    R. Ruppin: Opt. Commun.26, 360–362 (1978)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • T. B. A. Senior
    • 1
  • H. Weil
    • 1
  1. 1.Electrical and Computer Engineering DepartmentUniversity of MichiganAnn ArborUSA

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