OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 15, Iss. 11 — Nov. 1, 1976
  • pp: 2932–2936

Light scattering by tenuous particles: a generalization of the Rayleigh-Gans-Rocard approach

Charles Acquista  »View Author Affiliations


Applied Optics, Vol. 15, Issue 11, pp. 2932-2936 (1976)
http://dx.doi.org/10.1364/AO.15.002932


View Full Text Article

Enhanced HTML    Acrobat PDF (463 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We consider scattering by arbitrarily shaped particles that satisfy two conditions: (1) that the polarizability of the particle relative to the ambient medium be small compared to 1 and (2) that the phase shift introduced by the particle be less than 2. We solve the integro-differential equation proposed by Shifrin by using the method of successive iterations and then applying a Fourier transform. For the second iteration, results are presented that accurately describe scattering by a broad class of particles. The phase function and other elements of the scattering matrix are shown to be in excellent agreement with Mie theory for spherical scatterers.

© 1976 Optical Society of America

History
Original Manuscript: May 21, 1976
Published: November 1, 1976

Citation
Charles Acquista, "Light scattering by tenuous particles: a generalization of the Rayleigh-Gans-Rocard approach," Appl. Opt. 15, 2932-2936 (1976)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-15-11-2932


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. W. Strutt (Lord Rayleigh), Philos. Mag. 12, 81 (1881).
  2. R. Gans, Ann. Phys. 76, 29 (1925).
  3. I. Rocard, Rev. Opt. 9, 97 (1930).
  4. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  5. A popular misconception about the Rayleigh-Gans approximation is that it applies only to small particles. The proper restriction (the second criterion) is that the phase shift introduced by the particle be small. Thus, scattering by large particles (ka > 1) whose refractive index is very close to 1 (|m − 1| ≪ 1) could be described by the Rayleigh-Gans approximation.
  6. K. S. Shifrin, Scattering of Light in a Turbid Medium (Moscow, 1951) (NASA Technical Translation TT F-477, 1968).
  7. In this form, the integral equation is similar to the Lippmann-Schwinger equation used in nuclear scattering [see R. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966)]. However, when solved by the method of successive iterations, the Lippmann-Schwinger equation gives rise to the well-known Born expansion, which is different from the expansion obtained here using Schifrin’s method.
  8. S. Chandrasekhar, Radiative Transfer (Oxford U. P., Oxford, 1950).
  9. A. C. Holland, G. Gagne, Appl. Opt. 9, 1113 (1970).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2
 

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited