## Effective scattering cross section of an assembly of small ellipsoidal particles

JOSA A, Vol. 16, Issue 3, pp. 517-522 (1999)

http://dx.doi.org/10.1364/JOSAA.16.000517

Enhanced HTML Acrobat PDF (312 KB)

### Abstract

A model of light scattering from an assembly of small shape-distributed ellipsoidal particles is considered. The three principal assumptions used are the neglect of multiple scattering, the dipole polarizability, and the equiprobable distribution for the ellipsoid depolarization factors. These assumptions enabled us to find analytically the effective cross section for light scattering. {That for light absorption was found in a similar way by Goncharenko [J. Opt. Soc. Am. B 13, 2392 (1996)]}. The solution obtained is analyzed for some special cases, in particular for low and no absorption.

© 1999 Optical Society of America

**OCIS Codes**

(290.5850) Scattering : Scattering, particles

(290.5870) Scattering : Scattering, Rayleigh

**History**

Original Manuscript: April 8, 1998

Revised Manuscript: September 14, 1998

Manuscript Accepted: November 9, 1998

Published: March 1, 1999

**Citation**

A. V. Goncharenko, Yu. G. Semenov, and E. F. Venger, "Effective scattering cross section of an assembly of small ellipsoidal particles," J. Opt. Soc. Am. A **16**, 517-522 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-3-517

Sort: Year | Journal | Reset

### References

- C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
- Th. Wriedt, “A review of elastic light scattering theories,” Part. Part. Syst. Charact. 15, 67–74 (1998). [CrossRef]
- P. W. Barber, S. C. Hill, Light Scattering by Small Particles: Computational Methods (World Scientific, Singapore, 1990).
- This method became renowned since the paper by E. M. Purcell, C. R. Pennypacker, “Scattering and absorption of light by non-spherical dielectric grains,” Astrophys. J. 186, 705–714 (1973).It was further developed, in particular, in studies by B. T. Draine, “The discrete-dipole approximation and its application to interstellar graphite grains,” Astrophys. J. 333, 848–872 (1988);B. T. Draine, P. J. Flatau, “Discrete-dipole approximation for scattering calculations,” J. Opt. Soc. Am. A 11, 1491–1499 (1994).One can also find an electronic review of this method at http://atol.ucsd.edu/pflatau/scatlib/dda/paperh/paperh.html . [CrossRef]
- A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Boston, 1995).
- K. Hinsen, B. U. Felderhof, “Dielectric constant of a suspension of uniform spheres,” Phys. Rev. B 46, 12955–12963 (1992). [CrossRef]
- R. Fuchs, “Theory of the optical properties of ionic crystal cubes,” Phys. Rev. B 11, 1732–1740 (1975). [CrossRef]
- D. Bergman, “The dielectric constant of a composite material—a problem in classical physics,” Phys. Rep. 43, 377–407 (1978). [CrossRef]
- R. Stognienko, Th. Henning, V. Ossenkopf, “Optical properties of coagulated particles,” Astron. Astrophys. 296, 797–809 (1995).
- F. Rouleau, P. G. Martin, “A new method to calculate the extinction properties of irregularly shaped particles,” Astrophys. J. 414, 803–814 (1993). [CrossRef]
- P. Latimer, “Light scattering by ellipsoids,” J. Colloid Interface Sci. 53, 102–109 (1975). [CrossRef]
- H. C. van de Hulst. Light Scattering by Small Particles (Wiley, New York, 1957).
- C. F. Bohren, D. R. Huffman, “Absorption cross-section maxima and minima in IR absorption bands of small ionic ellipsoidal particles,” Appl. Opt. 20, 834–841 (1981). [CrossRef]
- L. E. Paramonov, V. N. Lopatin, F. Ya. Sid’ko, “On light scattering of “soft” spheroidal particles,” Opt. Spektrosk. 61(3), 570–576 (1986).
- A. V. Goncharenko, E. F. Venger, S. N. Zavadskii, “Effective absorption cross section of an assembly of small ellipsoidal particles,” J. Opt. Soc. Am. B 13, 2392–2395 (1996). [CrossRef]
- B. Michel, Th. Henning, R. Stognienko, F. Rouleau, “Extinction properties in dust grains: a new computational technique,” Astrophys. J. 468, 434–441 (1996). [CrossRef]
- D. R. Huffman, C. F. Bohren, “Infrared absorption spectra of nonspherical particles treated in the Rayleigh-ellipsoid approximation,” in Light Scattering by Irregularly Shaped Particles, D. Shuerman, ed., (Plenum, New York, 1980), pp. 103–111.
- The upper integration limit for the inner integral was denoted improperly in Ref. 15 (however, the calculations there were performed with correct integration limits.)
- It is more proper to point to SiC as a wide-gap semiconductor. However, in the frequency range considered, the SiC dielectric function manifests the same characteristic behavior as the dielectric function of a classical polar dielectric in the reststrahlen range.
- In our calculations we used dielectric-function parameters for the SiC cubic polytype from research by L. Patrick, W. J. Choyke, “Static dielectric constant of SiC,” Phys. Rev. B 2, 2255–2564 (1970) and for Al from Ref. 1 (Chap. 9), i.e., hωp=15 eV and hγ=0.6 eV. [CrossRef]
- The Fröhlich frequency νF satisfies the condition ∊1(νF)=-2 (here we use the spatial frequency ν=1/λ=k/2π.)
- G. A. Baker, P. Graves-Morris, “Padé approximants,” in Encyclopedia of Mathematics and Its Applications (Addison-Wesley, London, 1981), Vols. 13 and 14.
- M. Mishchenko, L. D. Travis, “Light scattering by polydispersions of randomly oriented spheroids with sizes comparable to wavelengths of observation,” Appl. Opt. 33, 7206–7225 (1994). [CrossRef] [PubMed]

## 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.

« Previous Article | Next Article »

OSA is a member of CrossRef.