Electromagnetic scattering by an aggregate of spheres: Far field

Applied Optics

Volumn 36, Issue 36, 1997, Pages 9496-9508

  Xu, Yu Lin ^a  

^a University of Florida ^*  (United States)

Author keywords

Absorption; Aggregates of spheres; Extinction; Multiparticle light scattering; Particles; Scattering matrix; Spherical harmonics; Vector translational addition theorems

Indexed keywords

BOUNDARY CONDITIONS; CALCULATIONS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE SCATTERING; MATRIX ALGEBRA; MICROWAVE MEASUREMENT; NUMERICAL METHODS; VECTORS;

HANKEL FUNCTION; LEGENDRE FUNCTION; MULTISPHERE SCATTERING THEORY; RICCATI-BESSEL FUNCTION;

LIGHT SCATTERING;

EID: 0031381922     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.009496     Document Type: Article

References (38)

1. L. V. Lorenz, “Sur la lumière réfléchie et réfractée par une sphère transparente,” in Qeuvres Scientifiques de L. Lorentz, revues et annotees par H. Valentiner (Librairie Lehman et Stage, Copenhagen, Denmark, 1898), pp. 405-529.
2. G. Mie, “Beitrage zue Optik trüber Medien speziell kolloidaler Metallösungen,” Ann. Phys. 25, 377-452 (1908).
3. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
4. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
5. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
6. D. S. McKay, T. D. Swindle, and R. Greenberg, “Asteroidal regoliths: what we do not know,” in Asteroids II, R. P. Binzel, T. Gehrels, and M. S. Matthews, eds. (University of Arizona Press, Tucson, Ariz., 1989), pp. 617-642.
7. D. E. Brownlee, “Microparticle studies by sampling techniques,” in Cosmic Dust, J. A. M. McDonnel, ed. (Wiley, Chichester, UK, 1978), pp. 275-336.
8. J. P. Bradley, “Physical and mineralogical properties of anhydrous interplanetary dust particles in the analytical electron microscope,” in Origin and Evolution of Interplanetary Dust, A. C. Levasseur-Regourd and H. Hasegawa, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1991), pp. 63-70.
9. K. Tomeoka, “Aqueous alteration in hydrated interplanetary dust particles,” in Origin and Evolution of Interplanetary Dust, A. C. Levasseur-Regourd and H. Hasegawa, eds. (Kluwer Academic, Dordrecht, The Netherlands, 1991), pp. 71-78.
10. R. A. West and P. H. Smith, “Evidence for aggregate particles in the atmospheres of Titan and Jupiter,” Icarus 90, 330-333 (1991).
11. M. Cabane, P. Rannou, E. Chassefiere, and G. Israel, “Fractal aggregates in Titan’s atmosphere,” Planet. Space Sci. 41, 257-267 (1993).
12. P. Rannou, M. Cabane, E. Chassefiere, R. Botet, C. P. McKay, and R. Courtin, “Titan’s geometric albedo: role of the fractal structure of the aerosols,” Icarus 118, 355-372 (1995).
13. W. Trinks, “Zur Vielfachstreung an kleinen Kugeln,” Ann. Phys. Dtsch. 22, 561-590 (1933).
14. B. Friedman and J. Russek, “Addition theorems for spherical waves,” Quart. Appl. Math. 12, 13-23 (1954).
15. S. Stein, “Addition theorems for spherical wave functions,” Quart. Appl. Math. 19, 15-24 (1961).
16. O. R. Cruzan, “Translational addition theorems for spherical vector wave functions,” Quart. Appl. Math. 20, 33-40 (1962).
17. J. H. Bruning and Y. T. Lo, “Multiple scattering of EM waves by spheres, Part I—Multiple expansion and ray-optical solutions,” IEEE Trans. Antennas Propag. AP-19, 378-390 (1971).
18. J. H. Bruning and Y. T. Lo, “Multiple scattering of EM waves by spheres, Part II—Numerical and experimental results,” IEEE Trans. Antennas Propag. AP-19, 391-400 (1971).
19. K. A. Fuller and G. W. Kattawar, “Consummate solution to the problem of classical electromagnetic scattering by ensembles of spheres. I: Linear chains,” Opt. Lett. 13, 90-92 (1988).
20. K. A. Fuller and G. W. Kattawar, “Consummate solution to the problem of classical electromagnetic scattering by ensembles of spheres. II: Clusters of arbitrary configurations,” Opt. Lett. 13, 1063-1065 (1988).
21. F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, “Electromagnetic scattering by a cluster of spheres,” Appl. Opt. 18, 116-120 (1979).
22. Y.-l. Xu, “Electromagnetic scattering by an aggregate of spheres,” Appl. Opt. 34, 4573-4588 (1995).
23. 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. 4, 227-235 (1984).
24. F. Borghese, P. Denti, R. Saija, and O. I. Sindoni, “Reliability of the theoretical description of electromagnetic scattering by nonspherical particles,” J. Aerosol Sci. 20, 1079-1081 (1989).
25. D. W. Mackowski, “Analysis of radiative scattering for multiple sphere configurations,” Proc. R. Soc. London Ser. A 433, 599-614 (1991).
26. D. W. Mackowski, “Calculation of total cross sections of multiple-sphere clusters,” J. Opt. Soc. Am. A 11, 2851-2861 (1994).
27. Y.-I. Xu, “Calculation of the addition coefficients in electromagnetic multisphere-scattering theory,” J. Comput. Phys. 127, 285-298 (1996); erratum, 134, 200 (1997).
28. Y.-I. Xu, “Efficient evaluation of vector translation coefficients in multiparticle light-scattering theories,” J. Comput. Phys. (to be published).
29. W. J. Wiscombe, “Improved Mie scattering algorithms,” Appl. Opt. 19, 1505-1509 (1980).
30. J. M. Gerardy and M. Ausloos, “Absorption spectrum of clusters of spheres from the general solution of Maxwell’s equations. II. Optical properties of aggregated metal spheres,” Phys. Rev. B 25, 4204-4229 (1982).
31. K. A. Fuller, “Scattering and absorption cross sections of compounded spheres. I. Theory for external aggregation,” J. Opt. Soc. Am. A 11, 3251-3260 (1994).
32. R. T. Wang and B. A. S. Gustafson, “Angular scattering and polarization by randomly oriented dumbbells and chains of spheres,” in Proceedings of the 1983 Scientific Conference on Obscuration and Aerosol Research, J. Farmer and R. Kohl, eds. (U.S. Army Chemical Research, Development, and Engineering Center, Aberdeen, Md., 1984), pp. 237-247.
33. J. D. Cartigny, Y. Yamada, and C. L. Tien, “Radiative transfer with dependent scattering by particles: Part 1-Theoretical investigation,” Trans. ASME 108, 608-613 (1982).
34. D. S. Saxon, “Tensor scattering matrix for the electromagnetic field,” Phys. Rev. 100, 1771-1775 (1955).
35. Y.-I. Xu and B. A. S. Gustafson, “A complete and efficient multisphere scattering theory for modeling the optical properties of interplanetary dust,” in Physics, Chemistry, and Dynamics of Interplanetary Dust, B. A. S. Gustafson and M. Hanner, eds., Vol. 104 of ASP Conference Series (Astronomical Society of the Pacific, San Francisco, 1996), pp. 419-422.
36. R. T. Wang, “Extinction signatures of non-spherical/non-isotropic particles,” in Light Scattering by Irregularly Shaped Particles, D. W. Schuerman, ed. (Plenum, New York, 1980), pp. 255-272.
37. R. H. Zerull, B. A. S. Gustafson, K. Schulz, and E. Thiele-Corbach, “Scattering by aggregates with and without an absorbing mantle: microwave analog experiments,” Appl. Opt. 32, 4088-4100 (1993).
38. B. A. S. Gustafson, “Microwave analog to light scattering measurements: a modern implementation of a proven method to achieve precise control,” J. Quant. Spectrosc. Radiat. Transfer 55, 663-672 (1996).