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Light scattering by cylindrical nanoparticles: Limits of applicability of the Rayleigh-Gans-Debye approximation

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Abstract

Applicability of the Rayleigh-Gans-Debye (RGD) approximation for describing light scattering by nanoparticles with large dielectric losses (such as carbon nanotubes) is analyzed. By a comparison of the approximate results with exact ones, it is shown that the presence of dielectric losses expands the range of applicability of the RGD approximation. This conclusion is illustrated by a differential cross-section diagram of scattering by a multiwall carbon nanotube.

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References

  1. L. V. Radushkevich and V. M. Luk’yanovich, Zh. Fiz. Khim. 26(1), 88 (1952).

    Google Scholar 

  2. S. Iijima, Nature 354, 56 (1991).

    Article  ADS  Google Scholar 

  3. M. E. Itkis and F. Borondics, Science 312, 413 (2006).

    Article  ADS  Google Scholar 

  4. Z. Sun, A. G. Rozhin, F. Wang, and A. C. Ferrari, Appl. Phys. Lett. 93, 061114 (2008).

    Article  ADS  Google Scholar 

  5. Zu-Po Vang, L. Ci, and J. Bur, Nano Lett. 8, 446 (2008).

    Article  ADS  Google Scholar 

  6. A. Ishau, L. Yan, G. Husnain, Bo Lu, and A. Khalid, ACS Nano 06, 357 (2011).

    Article  Google Scholar 

  7. G. Guo, K. Chu, D. S. Wang, and S. G. Duan, Phys. Rev. B 69, 205416 (2004).

    Article  ADS  Google Scholar 

  8. B. Partoens and F. M. Peeters, Phys. Rev. B 74, 205416 (2004).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  11. F. Ya. Sid’ko, V. N. Lopatin, and L. E. Paramonov, Polarization Characteristics of Suspensions of Biological Particles (Nauka, Novosibirsk, 1990) [in Russian].

    Google Scholar 

  12. K. A. Shapovalov, Zh. Sibirskogo Federal’Nogo Universiteta, Ser. Mat. Fiz. 5(4), 586 (2012).

    MathSciNet  Google Scholar 

  13. J. L. Volakis, A. Cbatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics (IEEE Press, 1998).

    Book  MATH  Google Scholar 

  14. J. Jin, The Finite Element Method in Electromagnetics (Wiley, New York, 2002).

    MATH  Google Scholar 

  15. W. C. Chew and W. C. Weedon, Microwave Opt. Tech. Lett. 7, 599 (1994).

    Article  ADS  Google Scholar 

  16. Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, IEEE Trans. Antennas Propag. 43, 1460 (1995).

    Article  ADS  Google Scholar 

  17. L. G. Johnson and G. Dresselhaus, Phys. Rev. B 7, 2275 (1973).

    Article  ADS  Google Scholar 

  18. A. B. Djurisic, A. D. Rakic, and J. M. Elazar, Phys. Rev. E 55, 4797 (1997).

    Article  ADS  Google Scholar 

  19. A. B. Djurisic and E. H. Li, J. Appl. Phys. 85, 7404 (1999).

    Article  ADS  Google Scholar 

  20. O. Stephan, D. Taverna, M. Kociak, K. Suenaga, L. Henrard, and C. Colliex, Phys. Rev. 66, 155422 (2002).

    Article  Google Scholar 

  21. V. I. Kanevskii, V. M. Rozenbaum, and N. G. Shkoda, Vostochno-Evropeiskii Zhurnal Peredovykh Tekhnologii, No. 3/5, 38 (2013).

    Google Scholar 

  22. F. J. Garcia-Vidal, J. M. Pitarke, and J. B. Pendry, Phys. Rev. Lett. 78, 4289 (1997).

    Article  ADS  Google Scholar 

  23. W. Lu, J. Dong, and Z. Y. Li, Phys. Rev. 63, 033401 (2000).

    Article  Google Scholar 

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Authors and Affiliations

  1. Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Kyiv, 03164, Ukraine

    V. I. Kanevskii & V. M. Rozenbaum

Authors
  1. V. I. Kanevskii
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  2. V. M. Rozenbaum
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Correspondence to V. I. Kanevskii.

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Original Russian Text © V.I. Kanevskii, V.M. Rozenbaum, 2014, published in Optika i Spektroskopiya, 2014, Vol. 117, No. 2, pp. 315–318.

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Kanevskii, V.I., Rozenbaum, V.M. Light scattering by cylindrical nanoparticles: Limits of applicability of the Rayleigh-Gans-Debye approximation. Opt. Spectrosc. 117, 304–307 (2014). https://doi.org/10.1134/S0030400X14080153

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  • DOI: https://doi.org/10.1134/S0030400X14080153

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