Q-space analysis of light scattering by Gaussian Random Spheres

Q-space analysis is applied to the scattered intensity from Gaussian Random Spheres (GRSs). Q-space analysis involves plotting the scattered intensity vs. the magnitude of the scattering wave vector q = 2 k sin θ 2 where k = 2 π / λ with λ the wavelength and θ is the scattering angle, on a log–log plot. The light scattering properties of GRSs were calculated using a discrete dipole approximation algorithm. The GRSs had σ=0.2 and ν=3, where σ is the relative standard deviation in the radial direction, and ν describes fluctuations in the angular direction. Calculations were systematically performed with size parameters ranging from 10 to 30, and with a relative index of refraction, m, ranging from 1.01 to 1.5. The results show quantifiable, power law descriptions of the scattered intensity and a Rayleigh functionality of the forward scattered intensity that depend upon the phase shift parameter ρ = 2 k R eq | m − 1 | where R eq is an equivalent radius. Similar functionalities have been observed in both spheres and other irregularly shaped particles. These results continue the implication that there is a comprehensive description of light scattering for all particles that can be uncovered with the application of Q-space.