Depolarized correlation function of light double scattered from a system of Brownian particles

Light scattering in colloidal dispersions: Effects of multiple scattering

“…[4] From Eqs. [1]- [4] one easily derives the following differential equation for the electric field strength: V(7, E(r)) -V2E(r) = #0c(r)JE(r). [5] Here and in the following (.…”

“…The scattered electric field strength is then of the form E(r, t) = E(r)exp{-ia~t}. [4] From Eqs. [1]- [4] one easily derives the following differential equation for the electric field strength: V(7, E(r)) -V2E(r) = #0c(r)JE(r).…”

“…105, No. 2, June 1985 and Gelbart (1) by iteration (2)(3)(4)(5). The integral equation is an equation in the electric field strength as a function of position r and time t. The corresponding integral kernel contains the dipole propagation tensor, which is too complicated to find any useful exact results (this is mainly due to the [rl -~ dependence of the tensor).…”

Electric field autocorrelation functions for beginning multiple Rayleigh scattering

“…The volume fraction f of the suspended particles is small enough that the particle positions are independent, and pair-correlation effects and hydrodynamic interactions are not important. 2,5 The plane wave has the time dependence exp͑Ϫit͒, electric field strength E 0 , wavelength , and wave number k ϭ 2m͞ in the liquid. The wave propagates in the z direction and is polarized either in the x direction or in the y direction, hereafter called H for horizontal and V for vertical, respectively, as is shown in Fig.…”

“…In this regime the electric field autocorrelation function is often modeled by use of the order-of-scattering approach in which individual autocorrelation functions for single scattering, double scattering, triple scattering, etc., are calculated, weighted by the relative strength of each order of multiple scattering, and added together. [5][6][7][8][9][10] Double-scattering autocorrelation functions have been calculated for a number of different systems. 3,5,8 -10 Higher-order multiplescattering autocorrelation functions have often been modeled by increasingly rapidly decaying exponentials in the delay time, and the relative strength of various-order scatterings has often been modeled by Poisson statistics.…”