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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 32, Iss. 18 — Jun. 20, 1993
  • pp: 3302–3305

Scattering by two spheres in contact: comparisons between discrete-dipole approximation and modal analysis

Piotr J. Flatau, Kirk A. Fuller, and Daniel W. Mackowski  »View Author Affiliations


Applied Optics, Vol. 32, Issue 18, pp. 3302-3305 (1993)
http://dx.doi.org/10.1364/AO.32.003302


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Abstract

This paper applies two different techniques to the problem of scattering by two spheres in contact:modal analysis, which is an exact method, and the discrete-dipole approximation (DDA). Good agreement is obtained, which further demonstrates the utility of the DDA to scattering problems for irregular particles. The choice of the DDA polarizability scheme is discussed in detail. We show that the lattice dispersion relation provides excellent improvement over the Clausius–Mossoti polarizability parameterization.

© 1993 Optical Society of America

History
Original Manuscript: September 28, 1992
Published: June 20, 1993

Citation
Piotr J. Flatau, Kirk A. Fuller, and Daniel W. Mackowski, "Scattering by two spheres in contact: comparisons between discrete-dipole approximation and modal analysis," Appl. Opt. 32, 3302-3305 (1993)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-32-18-3302


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References

  1. E. M. Purcell, C. R. Pennypacker, “Scattering and absorption of light by nonspherical dielectric grains,” Astrophys. J. 186, 705–714(1973). [CrossRef]
  2. P. J. Flatau, G. L. Stephens, B. T. Draine, “Light scattering by rectangular solids in the discrete-dipole approximation: a new algorithm exploiting the block-Toeplitz structure,” J. Opt. Soc. Am. A 7, 593–600 (1990). [CrossRef]
  3. J. J. Goodman, B. T. Draine, P. J. Flatau, “Application of fast-Fourier-transform techniques to the discrete-dipole approximation,” Opt. Lett. 16, 1198–1200 (1991). [CrossRef] [PubMed]
  4. B. T. Draine, J. J. Goodman, “Wave propagation on a polarizable point lattice and the discrete dipole approximation,” Astrophys. J. (to be published). [PubMed]
  5. K. A. Fuller, “Optical resonances and two-sphere systems,” Appl. Opt. 30, 4716–4731 (1991). [CrossRef] [PubMed]
  6. D. W. Mackowski, “Analysis of radiative scattering for multiple sphere configurations,” Proc. R. Soc. London Ser. A 433, 599–614 (1991). [CrossRef]
  7. W. J. Wiscombe, A. Mugnai, Single Scattering from Nonspherical Chebyshev Particles: A Compendium of Calculations, NASA Ref. Pub. 1157 (Goddard Space Flight Center, NASA, Greenbelt, Maryland, 1986).
  8. G. H. Goedecke, A. G. O’Brien, “Scattering by irregular inhomogeneous particles via the digitized Green’s function algorithm,” Appl. Opt. 27, 2431–2438 (1988). [CrossRef] [PubMed]
  9. J. I. Hage, J. M. Greenberg, “A model for the optical properties of porous grains,” Astrophys. J. 361, 251 (1990). [CrossRef]
  10. B. T. Draine, “The discrete-dipole approximation and its application to interstellar graphite grains,” Astrophys. J. 333, 848–872 (1988). [CrossRef]
  11. The fortran program DDSCAT.4b is available from P. J. Flatau on request. Direct queries to Internet address pflatau@macao.ucsd.edu or drain@astro.princeton.edu.
  12. P. J. Flatau, “Scattering by irregular particles in anomalous diffraction and discrete dipole approximations,” Tech. Rep. 517 (Colorado State University, Fort Collins, Colo.1992).

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