Effect of dipolar interactions on optical nonlinearity of two-dimensional nanocomposites

Abstract

In this work, we calculate the contribution of dipole-dipole interactions to the optical nonlinearity of the two-dimensional random ensemble of nanoparticles that possess a set of exciton levels, for example, quantum dots. The analytical expressions for the contributions in the cases of TM and TE-polarized light waves propagating along the plane are obtained. It is shown that the optical nonlinearity, caused by the dipole-dipole interactions in the planar ensemble of the nanoparticles, is several times smaller than the similar nonlinearity of the bulk nanocomposite. This type of optical nonlinearity is expected to be observed at timescales much larger than the quantum dot exciton rise time. The proposed method may be applied to various types of the nanocomposite shapes.The final publication (Andrey V Panov, 2013, J. Opt. 15, 055201) is available at

Impact of interparticle dipole–dipole interactions on optical nonlinearity of nanocomposites

“…. ., namely I 0,0 = −2π, I 2,2 = 4π [15]. After simplifications the first non-zero term in ( 9) contains E 3 in which gives us the formula for the self-induced Kerr nonlinear susceptibility:…”

“…[12], previously obtained distribution functions of the net dipolar field projection E [13] was utilized. For volume concentrations (volume fractions) of the excited nanoparticles c > 0.1 the Gaussian distribution was used as distribution functions of the random field E. In this work, we employ for bulk samples the negative cumulant expansion proposed for the two-dimensional distribution of dipoles [14,15]. This will allow us to obtain the third-order selfinduced optical susceptibility for volume fractions c 0.1 which frequently occur in experiments.…”

“…In this work, we employ for bulk samples the negative cumulant expansion proposed for the two-dimensional distribution of dipoles [14,15]. This will allow us to obtain the third-order selfinduced optical susceptibility for volume fractions c 0.1 which frequently occur in experiments.…”