Induced Hyper-Rayleigh Spectra. Theoretical and Numerical Analysis of Spectral Moments

摘要

Theoretical and numerical methods of evaluating spectral moments characterizing properties of the collisionally hyper-Rayleigh scattered light (CHRS) shall be presented. In order to calculate the moments we have extended the theory so that it could include the (hyper)polarizabilities of higher rank. Numerically obtained ab initio hyperpolarizability values have been used. The values have been obtained for three diatomic noble gas systems: HeNe, HeAr and NeAr, and for several temperature points. The semi-classical and the quantum computations have been performed in order to achieve the goal; both from the sum rule method as well as from the spectral profiles. A brief outline of the methods used is presented in the sections hereafter.