Mathematics & Physics 2015, 8(1), 109–122 УДК 535.131 Self-Assembly of Nanoparticles Controlled by Resonant Laser Light Aleksey S.Tsipotan∗ Vitaliy V. Slabko† Institute of Engineering Physics and Radio Electronics Siberian Federal University Kirenskogo, 26, Krasnoyarsk, 660026 Russia Aleksandr S.Aleksandrovsky‡ Kirensky Institute of Physics SB RAS Akademgorodok, Krasnoyarsk, 660036 Russia Nina V.Abuzova§ Institute of Engineering Physics and Radio Electronics Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia Received 10.09.2014, received in revised form 01.10.2014, accepted 10.11.2014 The paper presents theoretical justification for the possibility of formation of nanoparticle structures with the predefined configuration. <...> The process of formation is the self-organized aggregation of nanoparticles under the action of external resonant laser field. <...> The formation of various nanostructures that contain metallic and semiconducting nanoparticles with resonances in the visible spectrum is considered in the dipole-dipole approximation. <...> Keywords: interaction of laser radiation with matter, dipole-dipole interaction, nanoparticles, nanostructures. <...> They describe the methods of formation of nanoparticles and nanostructures with the use of laser radiation. <...> All rights reserved c – 109 – Aleksey S.Tsipotan, Vitaliy V.Slabko, Aleksandr S.Aleksandrovsky, Nina V.Abuzova Self-Assembly . most attractive. <...> It seems promising to use physical fields, laser radiation in particular, for controlled self-organization of nanoobjects into clusters. <...> These forces allow one to control particles movement and to form structures with the size of order of radiation wavelength [9]. <...> Laser induced polarization leads to the interparticle interaction if the average distance between particles is much smaller than the wavelength. <...> Another prospective approach implies the modification of potential energy of the particles in the non-resonant electromagnetic field of the light wave due to particle interactions [12]. <...> Self-assembly of nanoparticles under the action of non-resonant electromagnetic field in the wide frequency range was also investigated [13]. <...> When nanoparticles resonantly interact with the electromagnetic field, this interaction gives new opportunities for selective manipulation of nanoparticles [14]. <...> One should note that optical and spectral properties of silver nanoparticles with a surface plasmon resonance in the visible spectrum were extensively studied [15–22]. <...> The influence of electromagnetic interaction between particles on spectral properties of their aggregates was also investigated [17 <...>