• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2017, Vol. 62, N 8, p. 705-716
https://doi.org/10.15407/ujpe62.08.0705    Paper

Tomchuk P.M., Starkov V.M., Butenko D.V.

Institute of Physics, Nat. Acad. Sci. of Ukraine, Theoretical Physics Department
(46, Nauky Ave., Kyiv 03028, Ukraine; e-mail: ptomchuk@iop.kiev.ua)

Integral Equations in the General Theory of Light Absorption and Scattering

Section: Nanosystems
Original Author's Text: Ukrainian/English

Abstract: The problem of light absorption and scattering has been reduced to the solution of a singular
integral equation for the complex vector of electric feld intensity inside a nanoparticle. The
dipole approximation is chosen as the initial one. The results of computing experiments testify
to an acceptable agreement between the approach proposed for the consideration of the electric
feld inside a spherical nanoparticle and the results available for the optical and emission
properties of metal nanoclusters.

Key words: metal nanoclusters, optical properties, integral equation, computing experiment.

References:

  1. H.C. van de Hulst. Light Scattering by Small Particles (Wiley, 1957).
  2. V.V. Klimov. Nanoplasmonics (Nauka, 2012) (in Russian).
  3. E.F. Venger, A.V. Goncharenko, M.L. Dmitruk. Optics of Small Particles and Disperse Media (Naukova Dumka, 1999) (in Ukrainian).
  4. P. Tomchuk, Y. Bilotsky. New peculiarity in the temperature and size dependence of electron-lattice energy exchange in metal nanoparticles. Int. J. Mod. Phys. B 28, 1450220 (2014).
    https://doi.org/10.1142/S0217979214502208
  5. J.A.A.J. Perenboom, P. Wyder, F. Meier. Electronic properties of small metallic particles. Phys. Rep. 78, 173 (1981).
    https://doi.org/10.1016/0370-1573(81)90194-0
  6. S. Qu, C. Du, Y. Song, Y. Wang, Y. Gao, S. Liu, Y. Li, D. Zhu. Optical nonlinearities and optical limiting properties in gold nanoparticles protected by ligands. Chem. Phys. Lett. 356, 403 (2002).
    https://doi.org/10.1016/S0009-2614(02)00396-2
  7. D.A. Stuart, A.J. Haes, C.R. Yonzon, E.M. Hicks, R.P. Van Duyne. Biological applications of localised surface plasmonic phenomenae. IEEE Proc. Nanobiotechnol. 152, 13 (2005).
    https://doi.org/10.1049/ip-nbt:20045012
  8. N.L. Rosi, C.A. Mirkin. Nanostructures in biodiagnostics. Chem. Rev. 105, 1547 (2005).
    https://doi.org/10.1021/cr030067f
  9. S. Kumas, N. Harrison, R. Richards-Kortum, K. Sokolov. Plasmonic nanosensors for imaging intracellular biomarkers in live cells. Nano Lett. 7, 1338 (2007).
    https://doi.org/10.1021/nl070365i
  10. X. Huang, P.K. Jain, I.H. El-Sayed, M.A. El-Sayed. Gold nanoparticles: Interesting optical properties and recent applications in cancer diagnostics and therapy. Nanomedicine 2, 681 (2007).
    https://doi.org/10.2217/17435889.2.5.681
  11. R.D. Fedorovich, A.G. Naumovets, P.M. Tomchuk. Electron and light emission from island metal films and generation of hot electrons in nanoparticles. Phys. Rep. 328, 73 (2000).
    https://doi.org/10.1016/S0370-1573(99)00094-0
  12. G.V. Hartland. Optical studies of dynamics in noble metal nanostructures. Chem. Rev. 111, 3858 (2011).
    https://doi.org/10.1021/cr1002547
  13. N.G. Khlebtsov. Optics and biophotonics of nanoparticles with plasmon resonance. Kvant. Elektron. 38, 504 (2008) (in Russian).
    https://doi.org/10.1070/QE2008v038n06ABEH013829
  14. I.V. Blonskyi. Femtooptics of films and nanoparticles of noble metals. Ukr. Fiz. Zh. Ogl. 5, 170 (2009) (in Ukrainian).
  15. G.Mie, Beitr¨age zur Optik tr¨uber Medien, speziell kolloidaler Metall¨osungen. Ann. Phys. 25, 377 (1908).
    https://doi.org/10.1002/andp.19083300302
  16. P.M. Tomchuk, B.P. Tomchuk. Optical absorption of small metal particles. Zh. Eksp. Teor. Fiz. ` 112, 661 (1997) (in Russian).
  17. P.M. Tomchuk, N.I. Grigorchuk. Shape and size effects on the energy absorption by small metallic particles. Phys. Rev. B 73, 155423 (2006).
    https://doi.org/10.1103/PhysRevB.73.155423
  18. Ch. Girard. Near fields in nanostructures. Rep. Prog. Phys. 68, 1883 (2005).
    https://doi.org/10.1088/0034-4885/68/8/R05
  19. P.M. Tomchuk, D.V. Butenko. Nonlinear plasma dipole oscillations in spheroidal metallic nanoparticles. Ukr. Fiz. Zh. 60, 1043 (2015) (in Ukrainian).
  20. L.D. Landau, E.M. Lifshitz. Electrodynamics of Continuous Media (Pergamon Press, 1984).
  21. V.N. Starkov, Constructive Methods of Computational Physics in Interpretation Problems (Naukova Dumka, 2002) (in Russian).