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http://dx.doi.org/10.3807/JOSK.2014.18.2.188

General Theory of Wave Scattering by Two Separated Particles  

Park, Byong Chon (Division of Industrial Metrology, Korea Research Institute of Standards and Science)
Kim, Myung-Whun (Institute of Photonics and Information Technology, Department of Physics, Chonbuk National University)
Kim, Jin Seung (Institute of Photonics and Information Technology, Department of Physics, Chonbuk National University)
Publication Information
Journal of the Optical Society of Korea / v.18, no.2, 2014 , pp. 188-193 More about this Journal
Abstract
A general theory of scalar wave scattering by two separated particles is developed to give the coefficients of scattering and transmission in the form of recurrence formulae. Iterative applications of the formulae yield the coefficients in the form of power series of the coefficients obtained from single-particle scattering theories, and each term of the of power series can be interpreted as multiple scattering of the wave between the two particles in increasingly higher order.
Keywords
Scattering; Scalar wave; Two separated particles; Multiple scattering;
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1 H. C. van de Hulst, Multiple Light Scattering (Academic, New York, USA, 1980).
2 F. Borghese, P. Denti, R. Saija, E. Fucile, and O. I. Sidoni, "Optical properties of model anisotropic particles on or near a perfectly reflecting surface," J. Opt. Soc. Am. A12, 530-540 (1995).
3 R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini, "Plane-wave scattering by a set of perfectly conducting circular cylinders in the presence of a plane surface," J. Opt. Soc. Am. A13, 2441-2452 (1996).
4 H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, USA, 1957).
5 C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, USA, 1983).
6 F. Moreno and F. Gonzalez, eds., Light Scattering from Microstructures (Springer, Berlin, Germany, 2000).
7 M. I. Mishchenki, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge University Press, London, UK, 2002).
8 D. Bedeaux and J. Vlieger, Optical Properties of Surfaces, 2nd ed. (Imperial College Press, London, UK, 2004).
9 M. Maradudin, ed., Light Scattering and Nanoscale Surface Roughness (Springer, Berlin, Germany, 2007).
10 B. K. Larkin and S. W. Churchill, "Scattering and absorption of electromagnetic radiation by infinite cylinders," J. Opt. Soc. Am. 49, 188-190 (1959).   DOI
11 G. Mie, "Beitraege zur optik trueber medien, speziell kolloidaler metalloesungen," Ann. Physik 25, 377-445 (1908).
12 J. S. Kim and S. S. Lee, "Scattering of laser beams and the optical potential well for a homogeneous sphere," J. Opt. Soc. Am. 73, 303-312 (1983).   DOI   ScienceOn
13 S. Asano and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt. 14, 29-49 (1975).   DOI
14 H. A. Yousif and S. Koehler, "Scattering by two penetrable cylinders at oblique incidence. I. The analytical solution," J. Opt. Soc. Am. A5, 1085-1096 (1988)
15 H. A. Yousif, R. E. Mattis, and K. Kozminski, "Light scattering at oblique incidence on two coaxial cylinders," Appl. Opt. 33, 4013-4024 (1994).   DOI
16 L. Aden and M. Kerker, "Scattering of electromagnetic waves from two concentric spheres," J. Appl. Phys. 22, 1242-1246 (1951).   DOI
17 I. V. Lindell, A. H. Sihvola, K. O. Muinonen, and P. W. Barber, "Scattering by a small object close to an interface. I. Exact-image theory formulation," J. Opt. Soc. Am. A8, 472-476 (1991)
18 G. O. Olaofe, "Scattering by two cylinders," Radio Science 5, 1351-1360 (1970).   DOI
19 C. Liang and Y. T. Lo, "Scattering by two spheres," Radio Science, 2, 1481-1495 (1967).   DOI
20 K. B. Nahm and W. L. Wolfe, "Light-scattering models for spheres on a conducting plane: Comparison with experiment," Appl. Opt. 26, 2995-2999 (1987).   DOI
21 G. Videen, "Light scattering from a sphere on or near a surface," J. Opt. Soc. Am. A8, 483-489 (1991); "Errata," ibid. A9, 844-845 (1992).
22 E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sidoni, "Optical properties of a sphere in the vicinity of a plane surface," J. Opt. Soc. Am. A14, 1505-1514 (1997).
23 G. Videen and D. Ngo, "Light scattering from a cylinder near a plane interface: Theory and comparison with experimental data," J. Opt. Soc. Am. A14, 70-78 (1997).
24 F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, "Electromagnetic scattering by a cluster of spheres," Appl. Opt. 18, 116-120 (1979).   DOI
25 R. Borghi, M. Santarsiero, F. Frezza, and G. Schettini, "Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surface," J. Opt. Soc. Am. A14, 1500-1504 (1997).
26 E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sidoni, "Optical properties of a sphere in the vicinity of a plane surface," J. Opt. Soc. Am. A14, 1505-1514 (1997).
27 H. A. Yousif and S. Koehler, "Scattering by two penetrable cylinders at oblique incidence. II. Numerical examples," J. Opt. Soc. Am. A5, 1097-1104 (1988).
28 T. Wriedt and A. Doicu, "Light scattering from a particle on or near a surface," Opt. Commun. 152, 376-384 (1998).   DOI   ScienceOn
29 A. P. Moneda and D. P. Chrissoulidis, "Dyadic green's function of a cluster of spheres," J. Opt. Soc. Am. A24, 3437-3443 (2007).
30 P. Denti, F. Borghese, R. Saija, E. Fucile, and O. I. Sidoni, "Optical properties of aggregated spheres in the vicinity of a plane surface," J. Opt. Soc. Am. A16, 167-175 (1999).
31 K. O. Muinonen, A. H. Sihvola, I. V. Lindell, and K. A. Lumme, "Scattering by a small object close to an interface. II. Study of backscattering," J. Opt. Soc. Am. A8, 477-482 (1991).
32 F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, Berlin, Germany, 2003).