Polarization and angle dependence for hyper-Rayleigh scattering from local and nonlocal modes of isotropic fluids

Collective modes of molecular motion result in long-range correlations between molecules. Orientation correlations between the molecules of an isotropic fluid owing to polar collective modes result in hyper-Rayleigh scattering with distinctive polarization and angle dependence. The polarization and angle dependence for hyper-Rayleigh scattering from polar transverse-optical and longitudinal-optical nonlocal modes, and for dipolar and quadrupolar hyper-Raleigh scattering from local modes, is calculated and compared.