DOI QR코드

DOI QR Code

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)
  • 투고 : 2014.02.06
  • 심사 : 2014.04.04
  • 발행 : 2014.04.25

초록

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.

키워드

참고문헌

  1. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, USA, 1957).
  2. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, USA, 1980).
  3. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, USA, 1983).
  4. F. Moreno and F. Gonzalez, eds., Light Scattering from Microstructures (Springer, Berlin, Germany, 2000).
  5. 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).
  6. F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, Berlin, Germany, 2003).
  7. D. Bedeaux and J. Vlieger, Optical Properties of Surfaces, 2nd ed. (Imperial College Press, London, UK, 2004).
  8. M. Maradudin, ed., Light Scattering and Nanoscale Surface Roughness (Springer, Berlin, Germany, 2007).
  9. B. K. Larkin and S. W. Churchill, "Scattering and absorption of electromagnetic radiation by infinite cylinders," J. Opt. Soc. Am. 49, 188-190 (1959). https://doi.org/10.1364/JOSA.49.000188
  10. G. Mie, "Beitraege zur optik trueber medien, speziell kolloidaler metalloesungen," Ann. Physik 25, 377-445 (1908).
  11. 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). https://doi.org/10.1364/JOSA.73.000303
  12. S. Asano and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt. 14, 29-49 (1975). https://doi.org/10.1364/AO.14.000029
  13. H. A. Yousif, R. E. Mattis, and K. Kozminski, "Light scattering at oblique incidence on two coaxial cylinders," Appl. Opt. 33, 4013-4024 (1994). https://doi.org/10.1364/AO.33.004013
  14. L. Aden and M. Kerker, "Scattering of electromagnetic waves from two concentric spheres," J. Appl. Phys. 22, 1242-1246 (1951). https://doi.org/10.1063/1.1699834
  15. G. O. Olaofe, "Scattering by two cylinders," Radio Science 5, 1351-1360 (1970). https://doi.org/10.1029/RS005i011p01351
  16. 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)
  17. 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).
  18. C. Liang and Y. T. Lo, "Scattering by two spheres," Radio Science, 2, 1481-1495 (1967). https://doi.org/10.1002/rds19672121481
  19. 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). https://doi.org/10.1364/AO.26.002995
  20. 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)
  21. 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).
  22. 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).
  23. 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).
  24. 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).
  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. T. Wriedt and A. Doicu, "Light scattering from a particle on or near a surface," Opt. Commun. 152, 376-384 (1998). https://doi.org/10.1016/S0030-4018(98)00099-6
  28. F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, "Electromagnetic scattering by a cluster of spheres," Appl. Opt. 18, 116-120 (1979). https://doi.org/10.1364/AO.18.000116
  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. 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).
  32. 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).

피인용 문헌

  1. A theory of scalar wave scattering by a cylinder buried in a planar substrate vol.70, pp.8, 2017, https://doi.org/10.3938/jkps.70.771
  2. General theory of scalar wave scattering by a composite particle, one particle imbedded in another vol.68, pp.7, 2016, https://doi.org/10.3938/jkps.68.853
  3. A theory of scalar wave scattering by a circular cylinder and a planar substrate vol.70, pp.6, 2017, https://doi.org/10.3938/jkps.70.574
  4. Theory of Scalar Wave Scattering by a Sphere and a Planar Substrate vol.73, pp.10, 2018, https://doi.org/10.3938/jkps.73.1512