Abstract

This paper discusses the Rayleigh approximation and solves the corresponding electrostatic problem for a nonspherical particle of virtually arbitrary (starlike) shape, using an analog of the expanded-boundary-condition method. The essence of the recently proposed uniform-internal-field approximation, which gives approximating relationships for the Rayleigh approximation, is explained. Simple analytical expressions for the polarizability and other optical characteristics of small rectangular parallelepipeds are given in terms of the uniform-internal-field approximation. The results of numerical calculations of the absorption and scattering cross sections of light by such particles obtained from these approximate formulas and by the exact discrete-dipole method showed good agreement, especially for averaged cross sections in the case of unpolarized light or ensembles of randomly oriented parallelepipeds.

© 2014 Optical Society of America

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  1. H. C.  van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957; Inostr. Lit., Moscow, 1961).
  2. C. F.  Bohren, D. E.  Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).
  3. P. M.  Morse, H.  Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostr. Lit., Moscow, 1958).
  4. L. D.  Landau, E. M.  Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon Press, Oxford, 1960).
  5. V. V.  Klimov, Nanoplasmonics (Fizmatlit, Moscow, 2009).
  6. A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).
  7. V. G.  Farafonov, “Light scattering by multilayer ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 88, 492 (2000) [Opt. Spectrosc. 88, 441 (2000)].
  8. V. G.  Farafonov, “Light scattering by multilayer nonconfocal ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 90, 646 (2001) [Opt. Spectrosc. 90, 574 (2001)].
    [CrossRef]
  9. V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].
  10. V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].
  11. V. G.  Farafonov, M. V.  Sokolovskaya, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” J. Math. Sci. 194, 104 (2013).
    [CrossRef]
  12. V. G.  Farafonov, V. B.  Il’in, “Scattering of light by axially symmetric particles: modification of the point-matching method,” Opt. Spektrosk. 100, 480 (2006) [Opt. Spectrosc. 100, 437 (2006)].
  13. V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].
  14. V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].
  15. V. G.  Farafonov, V. B.  Il’in, “Single light scattering: computational methods,” in Light Scattering Reviews, A. A.  Kokhanovsky, ed. (Springer, Berlin, 2006), pp. 125–177.
  16. P. C.  Waterman, “Matrix method in potential theory and electromagnetic scattering,” J. Appl. Phys. 50, 4550 (1979).
    [CrossRef]
  17. V. G.  Farafonov, V. B.  Il’in, “On scattering of light by small axially symmetric particles,” Opt. Spektrosk. 111, 863 (2011) [Opt. Spectrosc. 111, 824 (2011)].
  18. V. B.  Il’in, V. G.  Fafaronov, “Rayleigh approximation for axisymmetric scatterers,” Opt. Lett. 36, 4080 (2011).
    [CrossRef]
  19. Rayleigh, “On the incidence of aerial and electric waves upon small obstacles in the form of ellipsoids,” Philos. Mag. 44, No. 5, 28 (1897).
  20. R. E.  Kleinman, T. B. A.  Senior, “Rayleigh scattering,” in Low and High-Frequency Asymptotics, V. K.  Varadan, V. V.  Varadan, ed. (Elsevier, Amsterdam, 1986), pp. 1–70.
  21. A. G.  Ramm, Wave Scattering by Small Bodies of Arbitrary Shapes (World Scientific Publ., Singapore, 2005).
  22. V. G.  Farafonov, “Light scattering by dielectric particles with axial symmetry. 1,” Opt. Spektrosk. 88, 70 (2000) [Opt. Spectrosc. 88, 63 (2000)].
  23. V. G.  Farafonov, “Applicability of the T-matrix method and its modifications,” Opt. Spektrosk. 92, 813 (2002) [Opt. Spectrosc. 92, 748 (2002)].
  24. D. L.  Colton, R.  Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983; Mir, Moscow, 1987).
  25. M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

2013

V. G.  Farafonov, M. V.  Sokolovskaya, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” J. Math. Sci. 194, 104 (2013).
[CrossRef]

2011

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].

V. G.  Farafonov, V. B.  Il’in, “On scattering of light by small axially symmetric particles,” Opt. Spektrosk. 111, 863 (2011) [Opt. Spectrosc. 111, 824 (2011)].

V. B.  Il’in, V. G.  Fafaronov, “Rayleigh approximation for axisymmetric scatterers,” Opt. Lett. 36, 4080 (2011).
[CrossRef]

2010

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].

2007

V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].

M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

2006

V. G.  Farafonov, V. B.  Il’in, “Scattering of light by axially symmetric particles: modification of the point-matching method,” Opt. Spektrosk. 100, 480 (2006) [Opt. Spectrosc. 100, 437 (2006)].

2004

A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).

2002

V. G.  Farafonov, “Applicability of the T-matrix method and its modifications,” Opt. Spektrosk. 92, 813 (2002) [Opt. Spectrosc. 92, 748 (2002)].

2001

V. G.  Farafonov, “Light scattering by multilayer nonconfocal ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 90, 646 (2001) [Opt. Spectrosc. 90, 574 (2001)].
[CrossRef]

2000

V. G.  Farafonov, “Light scattering by dielectric particles with axial symmetry. 1,” Opt. Spektrosk. 88, 70 (2000) [Opt. Spectrosc. 88, 63 (2000)].

V. G.  Farafonov, “Light scattering by multilayer ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 88, 492 (2000) [Opt. Spectrosc. 88, 441 (2000)].

1979

P. C.  Waterman, “Matrix method in potential theory and electromagnetic scattering,” J. Appl. Phys. 50, 4550 (1979).
[CrossRef]

1897

Rayleigh, “On the incidence of aerial and electric waves upon small obstacles in the form of ellipsoids,” Philos. Mag. 44, No. 5, 28 (1897).

Barkanov, S. V.

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].

Bohren, C. F.

C. F.  Bohren, D. E.  Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

Colton, D. L.

D. L.  Colton, R.  Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983; Mir, Moscow, 1987).

Fafaronov, V. G.

Farafonov, V. G.

V. G.  Farafonov, M. V.  Sokolovskaya, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” J. Math. Sci. 194, 104 (2013).
[CrossRef]

V. G.  Farafonov, V. B.  Il’in, “On scattering of light by small axially symmetric particles,” Opt. Spektrosk. 111, 863 (2011) [Opt. Spectrosc. 111, 824 (2011)].

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].

V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].

V. G.  Farafonov, V. B.  Il’in, “Scattering of light by axially symmetric particles: modification of the point-matching method,” Opt. Spektrosk. 100, 480 (2006) [Opt. Spectrosc. 100, 437 (2006)].

V. G.  Farafonov, “Applicability of the T-matrix method and its modifications,” Opt. Spektrosk. 92, 813 (2002) [Opt. Spectrosc. 92, 748 (2002)].

V. G.  Farafonov, “Light scattering by multilayer nonconfocal ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 90, 646 (2001) [Opt. Spectrosc. 90, 574 (2001)].
[CrossRef]

V. G.  Farafonov, “Light scattering by multilayer ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 88, 492 (2000) [Opt. Spectrosc. 88, 441 (2000)].

V. G.  Farafonov, “Light scattering by dielectric particles with axial symmetry. 1,” Opt. Spektrosk. 88, 70 (2000) [Opt. Spectrosc. 88, 63 (2000)].

V. G.  Farafonov, V. B.  Il’in, “Single light scattering: computational methods,” in Light Scattering Reviews, A. A.  Kokhanovsky, ed. (Springer, Berlin, 2006), pp. 125–177.

Feshbach, H.

P. M.  Morse, H.  Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostr. Lit., Moscow, 1958).

Hoekstra, A. G.

M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

Huffman, D. E.

C. F.  Bohren, D. E.  Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

Il’in, V. B.

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

V. B.  Il’in, V. G.  Fafaronov, “Rayleigh approximation for axisymmetric scatterers,” Opt. Lett. 36, 4080 (2011).
[CrossRef]

V. G.  Farafonov, V. B.  Il’in, “On scattering of light by small axially symmetric particles,” Opt. Spektrosk. 111, 863 (2011) [Opt. Spectrosc. 111, 824 (2011)].

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].

V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].

V. G.  Farafonov, V. B.  Il’in, “Scattering of light by axially symmetric particles: modification of the point-matching method,” Opt. Spektrosk. 100, 480 (2006) [Opt. Spectrosc. 100, 437 (2006)].

V. G.  Farafonov, V. B.  Il’in, “Single light scattering: computational methods,” in Light Scattering Reviews, A. A.  Kokhanovsky, ed. (Springer, Berlin, 2006), pp. 125–177.

Kleinman, R. E.

R. E.  Kleinman, T. B. A.  Senior, “Rayleigh scattering,” in Low and High-Frequency Asymptotics, V. K.  Varadan, V. V.  Varadan, ed. (Elsevier, Amsterdam, 1986), pp. 1–70.

Klimov, V. V.

V. V.  Klimov, Nanoplasmonics (Fizmatlit, Moscow, 2009).

Kress, R.

D. L.  Colton, R.  Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983; Mir, Moscow, 1987).

Landau, L. D.

L. D.  Landau, E. M.  Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon Press, Oxford, 1960).

Lifshitz, E. M.

L. D.  Landau, E. M.  Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon Press, Oxford, 1960).

Maltsev, V. P.

M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

Morse, P. M.

P. M.  Morse, H.  Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostr. Lit., Moscow, 1958).

Ramm, A. G.

A. G.  Ramm, Wave Scattering by Small Bodies of Arbitrary Shapes (World Scientific Publ., Singapore, 2005).

Rayleigh,

Rayleigh, “On the incidence of aerial and electric waves upon small obstacles in the form of ellipsoids,” Philos. Mag. 44, No. 5, 28 (1897).

Senior, T. B. A.

R. E.  Kleinman, T. B. A.  Senior, “Rayleigh scattering,” in Low and High-Frequency Asymptotics, V. K.  Varadan, V. V.  Varadan, ed. (Elsevier, Amsterdam, 1986), pp. 1–70.

Sihvola, A.

A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).

Sokolovskaya, M. V.

V. G.  Farafonov, M. V.  Sokolovskaya, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” J. Math. Sci. 194, 104 (2013).
[CrossRef]

van de Hulst, H. C.

H. C.  van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957; Inostr. Lit., Moscow, 1961).

Venermo, J.

A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).

Vinokurov, A. A.

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].

V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].

Waterman, P. C.

P. C.  Waterman, “Matrix method in potential theory and electromagnetic scattering,” J. Appl. Phys. 50, 4550 (1979).
[CrossRef]

Ylä-Oijala, P.

A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).

Yurkin, M. A.

M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

J. Appl. Phys.

P. C.  Waterman, “Matrix method in potential theory and electromagnetic scattering,” J. Appl. Phys. 50, 4550 (1979).
[CrossRef]

J. Math. Sci.

V. G.  Farafonov, M. V.  Sokolovskaya, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” J. Math. Sci. 194, 104 (2013).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer

M. A.  Yurkin, V. P.  Maltsev, A. G.  Hoekstra, “The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength,” J. Quant. Spectrosc. Radiat. Transfer 106, No. 1, 546 (2007).

Microw. Opt. Technol. Lett.

A.  Sihvola, J.  Venermo, P.  Ylä-Oijala, “Dielectric response of matter with cubic and cylindrical microstructure,” Microw. Opt. Technol. Lett. 41, 245 (2004).

Opt. Lett.

Opt. Spektrosk.

V. G.  Farafonov, “Light scattering by dielectric particles with axial symmetry. 1,” Opt. Spektrosk. 88, 70 (2000) [Opt. Spectrosc. 88, 63 (2000)].

V. G.  Farafonov, “Applicability of the T-matrix method and its modifications,” Opt. Spektrosk. 92, 813 (2002) [Opt. Spectrosc. 92, 748 (2002)].

V. G.  Farafonov, A. A.  Vinokurov, S. V.  Barkanov, “Electrostatic solution and Rayleigh approximation for small nonspherical particles in a spheroidal basis,” Opt. Spektrosk. 111, 1026 (2011) [Opt. Spectrosc. 111, 980 (2011)].

V. G.  Farafonov, “Light scattering by multilayer ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 88, 492 (2000) [Opt. Spectrosc. 88, 441 (2000)].

V. G.  Farafonov, “Light scattering by multilayer nonconfocal ellipsoids in the Rayleigh approximation,” Opt. Spektrosk. 90, 646 (2001) [Opt. Spectrosc. 90, 574 (2001)].
[CrossRef]

V. G.  Farafonov, V. B.  Il’in, “Scattering of light by axially symmetric particles: modification of the point-matching method,” Opt. Spektrosk. 100, 480 (2006) [Opt. Spectrosc. 100, 437 (2006)].

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, “Near- and far-field light scattering by nonspherical particles: applicability of methods that involve a spherical basis,” Opt. Spektrosk. 109, 476 (2010) [Opt. Spectrosc. 109, 432 (2010)].

V. G.  Farafonov, A. A.  Vinokurov, V. B.  Il’in, “Comparison of the light scattering methods using the spherical basis,” Opt. Spektrosk. 102, 1006 (2007) [Opt. Spectrosc. 102, 927 (2007)].

V. G.  Farafonov, V. B.  Il’in, “On scattering of light by small axially symmetric particles,” Opt. Spektrosk. 111, 863 (2011) [Opt. Spectrosc. 111, 824 (2011)].

Opt. Zh.

V. G.  Farafonov, V. B.  Il’in, A. A.  Vinokurov, S. V.  Barkanov, “Light scattering by small axisymmetric particles using a generalized method of separation of variables with a spherical basis,” Opt. Zh. 78, No. 8, 100 (2011) [J. Opt. Technol. 78, 544 (2011)].

Philos. Mag.

Rayleigh, “On the incidence of aerial and electric waves upon small obstacles in the form of ellipsoids,” Philos. Mag. 44, No. 5, 28 (1897).

Other

R. E.  Kleinman, T. B. A.  Senior, “Rayleigh scattering,” in Low and High-Frequency Asymptotics, V. K.  Varadan, V. V.  Varadan, ed. (Elsevier, Amsterdam, 1986), pp. 1–70.

A. G.  Ramm, Wave Scattering by Small Bodies of Arbitrary Shapes (World Scientific Publ., Singapore, 2005).

V. G.  Farafonov, V. B.  Il’in, “Single light scattering: computational methods,” in Light Scattering Reviews, A. A.  Kokhanovsky, ed. (Springer, Berlin, 2006), pp. 125–177.

H. C.  van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957; Inostr. Lit., Moscow, 1961).

C. F.  Bohren, D. E.  Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

P. M.  Morse, H.  Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostr. Lit., Moscow, 1958).

L. D.  Landau, E. M.  Lifshitz, Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon Press, Oxford, 1960).

V. V.  Klimov, Nanoplasmonics (Fizmatlit, Moscow, 2009).

D. L.  Colton, R.  Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983; Mir, Moscow, 1987).

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