## Efficient Light-Scattering Calculations for Aggregates of Large Spheres

Applied Optics, Vol. 42, Issue 15, pp. 2785-2793 (2003)

http://dx.doi.org/10.1364/AO.42.002785

Acrobat PDF (2423 KB)

### Abstract

Calculation of the scattering pattern from aggregates of spheres through the *T*-matrix approach yields high-precision results but at a high-computational cost, especially when the aggregate concerned is large or is composed of large-size spheres. With reference to a specific but representative aggregate, we discuss how and to what extent the computational effort can be reduced but still preserve the qualitative features of the signature of the aggregate concerned.

© 2003 Optical Society of America

**OCIS Codes**

(190.5890) Nonlinear optics : Scattering, stimulated

(290.1990) Scattering : Diffusion

(290.4210) Scattering : Multiple scattering

(290.5850) Scattering : Scattering, particles

**Citation**

Rosalba Saija, Maria Antonia Iatì, Paolo Denti, Ferdinando Borghese, Arianna Giusto, and Orazio I. Sindoni, "Efficient Light-Scattering Calculations for Aggregates of Large Spheres," Appl. Opt. **42**, 2785-2793 (2003)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-15-2785

Sort: Year | Journal | Reset

### References

- H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
- P. J. Wyatt, “Scattering of electromagnetic plane waves from inhomogeneous spherically symmetric objects,” Phys. Rev. B 127, 1837–1843 (1962).
- M. I. Mishchenko, W. J. Wiscombe, J. H. Hovenier, and L. D. Travis, “Overview of scattering by nonspherical particles,” in Light Scattering by Nonspherical Particles, M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic, New York, 2000), pp. 30–59.
- S. Holler, J.-C. Auger, B. Stout, Y. Pan, J. R. Bottiger, R. K. Chang, and G. Videen, “Observations and calculations of light scattering from clusters of spheres,” Appl. Opt. 39, 6873–6887 (2000).
- M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, “Concepts, terms, notation,” in Light Scattering by Nonspherical Particles, M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic, New York, 2000), pp. 3–25.
- J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
- F. Borghese, P. Denti, R. Saija, G. Toscano, and O. I. Sindoni, “Multiple electromagnetic scattering from a cluster of spheres. I. Theory,” Aerosol Sci. Technol. 3, 227–235 (1984).
- F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, “An addition theorem for vector Helmholtz harmonics,” J. Math. Phys. 21, 2754–2755 (1980).
- F. Borghese, P. Denti, and R. Saija, “Optical properties of spheres containing several spherical inclusions,” Appl. Opt. 33, 484–491 (1994).
- P. C. Waterman, “Symmetry, unitarity and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971).
- E. Fucile, F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, “General reflection rule for electromagnetic multipole fields on a plane interface,” IEEE Trans. Antennas Propag. 45, 868–875 (1997).
- E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sindoni, “Optical properties of a sphere in the vicinity of a plane surface,” J. Opt. Soc. Am. A 14, 1505–1514 (1997).
- Y.-L. Xu, “Electromagnetic scattering by an aggregate of spheres: far field,” Appl. Opt. 36, 9496–9508 (1997).
- F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, “Reliability of the theoretical description of electromagnetic scattering from non-spherical particles,” J. Aerosol Sci. 20, 1079–1081 (1989).
- R. T. Wang, J. M. Greenberg, and D. W. Schuerman, “Experimental results of dependent light scattering by two spheres,” Opt. Lett. 11, 543–545 (1981).
- D. W. Schuerman and R. T. Wang, “Experimental results of multiple scattering,” Contractor Rep. ARCSL-CR-81003 (U.S. Army Chemical Systems Laboratory, Aberdeen Proving Grounds, Md., July 1980).
- B. Stout, J.-C. Auger, and J. Lafait, “Individual and aggregate scattering matrices and cross sections: conservation laws and reciprocity,” J. Mod. Opt. 48, 2105–2128 (2001).
- D. W. Mackowski and M. I. Mishchenko, “Calculation of the T matrix and the scattering matrix for ensembles of spheres,” J. Opt. Soc. Am. A 13, 2266–2278 (1996).
- M. I. Mishchenko, L. D. Travis, and A. Macke, “T-Matrix method and its applications,” in Light Scattering by Nonspherical Particles, M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds. (Academic, New York, 2000), pp. 147–172.
- F. Borghese, P. Denti, R. Saija, M. A. Iatì, and O. I. Sindoni, “Optical properties of a dispersion of anisotropic particles with nonrandomly distributed orientations. The case of atmospheric ice crystals,” J. Quant. Spectrosc. Radiat. Transfer 70, 237–251 (2001).
- W. C. Chew, Waves and Fields in Inhomogeneous Media, IEEE Press Series on Electromagnetic Waves (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 1990).
- M. I. Mishchenko and D. W. Mackowski, “Electromagnetic scattering by randomly oriented bispheres: comparison of theory and experiment and benchmark calculations,” J. Quant. Spectrosc. Radiat. Transfer 55, 683–694 (1996).
- J. R. Bottiger, E. S. Fry, and R. C. Tompson, “Phase matrix measurements for electromagnetic scattering by sphere aggregates,” in Light Scattering by Irregularly Shaped Particles, D. W. Schuerman, ed. (Plenum, New York, 1980), pp. 283–290.
- M. I. Mishchenko, D. W. Mackowski, and L. D. Travis, “Scattering of light by bispheres with touching and separated components,” Appl. Opt. 34, 4589–4599 (1995).

## 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.