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Light Scattering by Small Particles and Their Light Heating: New Aspects of the Old Problems

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Fundamentals of Laser-Assisted Micro- and Nanotechnologies

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 195))

Abstract

A survey of recent results in light scattering by nanoparticles is presented. Special attention is paid to the case of particles from weakly dissipating materials, when the radiative damping prevails over the dissipative losses. It makes the scattering process completely different from the Rayleigh one. Peculiarities of the energy circulation in the near field zone are inspected in detail. The problem of optimization of the energy release in the particle is discussed. The chapter is concluded with consideration of laser heating of a metal particle in liquid important for biological and medical applications.

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Notes

  1. 1.

    Actually, at any \(\ell \) the equation \(G^{(a)}_\ell (\varepsilon )=0\) has an infinite number of roots. The roots different from (6.8) correspond to large values of \(\varepsilon \) and lie beyond the validity range of (6.7). Interference of modes with the same \(\ell \) related to different such roots may result in new interesting phenomena, including cloaking of the particle (the complete suppression of the scattering, which makes the particle invisible), see [24]. However, discussion of these matters lies beyond the scope of the present chapter.

  2. 2.

    The inverted hierarchy does not affect convergence of the multipole expansion because each resonance takes place at its own resonant value of \(\varepsilon \), so that at a given order of the resonance we have just a single partial cross section describing by (6.9).

  3. 3.

    Usually, taking into account sign of strong inequality in (6.11), \((\ell + 1)^\ell \) in its right-hand-side is replaced by 1. Here we do not do that because it is important for the anomalous absorption, which will be discussed in the next section.

  4. 4.

    The conventional dependence \(H_r(q)\) at the anomalous scattering is explained by the fact that this type of the scattering corresponds to a resonant excitation of eigenmodes related to electric polarizability of the particle. For these modes \(H_r = 0\) [2, 3]. Non-zero values of \(H_r\) in the near field correspond to the contribution of the magnetic modes, related to the magnetic polarizability of the particle by the electromagnetic field of the incident wave. For a non-magnetic particle these modes always are non-resonant and therefore have the same amplitude both at the anomalous and Rayleigh scattering.

  5. 5.

    We stress that (6.9), (6.19) should be regarded as the upper theoretical limit for the corresponding cross sections just for the problem in question (a small spatially uniform non-magnetic particle). In other cases these limits may be exceeded considerably, see, e.g., [34].

  6. 6.

    \(R\)-dependence may appear here owing to \(\gamma _\mathrm{{eff}}\), see (6.12).

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Acknowledgments

This study was partially supported by RFBR, research project No 12-02-00391_a.

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Authors and Affiliations

  1. Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia

    Michael I. Tribelsky

  2. Moscow State Institute of Radioengineering, Electronics and Automation (Technical University MIREA), Moscow, 119454, Russia

    Michael I. Tribelsky

  3. Data Storage Institute, Agency for Science, Technology and Research, Singapore, 117608, Singapore

    Boris S. Luk’yanchuk

Authors
  1. Michael I. Tribelsky
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  2. Boris S. Luk’yanchuk
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Correspondence to Michael I. Tribelsky .

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Editors and Affiliations

  1. Dept. Laser-based Technologies, NRU ITMO, St. Petersburg, Russia

    Vadim P. Veiko

  2. Natural Sciences Center, General Physics Institute RAS, Moscow, Russia

    Vitaly I. Konov

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Tribelsky, M.I., Luk’yanchuk, B.S. (2014). Light Scattering by Small Particles and Their Light Heating: New Aspects of the Old Problems. In: Veiko, V., Konov, V. (eds) Fundamentals of Laser-Assisted Micro- and Nanotechnologies. Springer Series in Materials Science, vol 195. Springer, Cham. https://doi.org/10.1007/978-3-319-05987-7_6

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