Integral Equations in the General Theory of Light Absorption and Scattering
The problem of light absorption and scattering has been reduced to the solution of a singular integral equation for the complex vector of electric field 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 field inside a spherical nanoparticle and the results available for the optical and emission properties of metal nanoclusters.
H.C. van de Hulst. Light Scattering by Small Particles (Wiley, 1957).
V.V. Klimov. Nanoplasmonics (Nauka, 2012) (in Russian).
E.F. Venger, A.V. Goncharenko, M.L. Dmitruk. Optics of Small Particles and Disperse Media (Naukova Dumka, 1999) (in Ukrainian).
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).
J.A.A.J. Perenboom, P. Wyder, F. Meier. Electronic properties of small metallic particles. Phys. Rep. 78, 173 (1981).
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).
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).
N.L. Rosi, C.A. Mirkin. Nanostructures in biodiagnostics. Chem. Rev. 105, 1547 (2005).
S. Kumas, N. Harrison, R. Richards-Kortum, K. Sokolov. Plasmonic nanosensors for imaging intracellular biomarkers in live cells. Nano Lett. 7, 1338 (2007).
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).
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).
G.V. Hartland. Optical studies of dynamics in noble metal nanostructures. Chem. Rev. 111, 3858 (2011).
N.G. Khlebtsov. Optics and biophotonics of nanoparticles with plasmon resonance. Kvant. Elektron. 38, 504 (2008) (in Russian).
I.V. Blonskyi. Femtooptics of films and nanoparticles of noble metals. Ukr. Fiz. Zh. Ogl. 5, 170 (2009) (in Ukrainian).
G.Mie, Beitr¨age zur Optik tr¨uber Medien, speziell kolloidaler Metall¨osungen. Ann. Phys. 25, 377 (1908).
P.M. Tomchuk, B.P. Tomchuk. Optical absorption of small metal particles. Zh. Eksp. Teor. Fiz. ` 112, 661 (1997) (in Russian).
P.M. Tomchuk, N.I. Grigorchuk. Shape and size effects on the energy absorption by small metallic particles. Phys. Rev. B 73, 155423 (2006).
Ch. Girard. Near fields in nanostructures. Rep. Prog. Phys. 68, 1883 (2005).
P.M. Tomchuk, D.V. Butenko. Nonlinear plasma dipole oscillations in spheroidal metallic nanoparticles. Ukr. Fiz. Zh. 60, 1043 (2015) (in Ukrainian).
L.D. Landau, E.M. Lifshitz. Electrodynamics of Continuous Media (Pergamon Press, 1984).
V.N. Starkov, Constructive Methods of Computational Physics in Interpretation Problems (Naukova Dumka, 2002) (in Russian).