Integral Equations in the General Theory of Light Absorption and Scattering

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 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. K e y w o r d s: metal nanoclusters, optical properties, integral equation, computing experiment.

Plasmon-enhanced second harmonic generation in the laser-irradiated cubic metal nanoparticles

“…-The nonlinear optical properties of subwavelength metal nanoparticles and, in particular, the second harmonic generation are attracting a rapidly growing interest. A lot of effort was directed to the case of spherical and spheroidal nanoparticles, both theoretically [1][2][3][4][5][6][7][8][9][10][11] and experimentally [12][13][14][15][16][17][18], while much less attention was paid so far to the case of non-spherical nanoparticles, perhaps because of complexity of the problem [19][20][21][22][23]. For example, a lot of papers (see [24] and references therein) are devoted to studying linear plasmons in cubic metal nanoparticles, but there is no corresponding investigations of the nonlinear optical properties of cubic nanoparticles and, in particular, the laser induced plasmon-assisted second harmonic generation (SHG).…”