Homogeneous sphere, theoretical calculations

Theoretical Feasibility. Earlier work (5) had established the general domain of size parameters and refractive index expected. This allowed a number of model calculations to be carried out to clearly establish the theoretical feasibility of the method. Computations were carried out for homogeneous spheres and for concentric core-shell spheres. 

Figure 1. Theoretical calculations for (A) homogeneous sphere with a = 3.71, m = 1.20 and (B) homogeneous sphere with a = 5.74, m = 1.09, which is the volume-weighted refractive index for the core-shell structure of (C) with a = 3.71, V = 5.75, m, = 1.20, m2 = 1.05.

Now, let us look at Fig. 13. Here, the static structure factor of a three-dimensional homogeneous suspension of polystyrene spheres of diameter 94 nm is shown. The particles volume fraction is 0 = 2.0 x 10 4. Experimental data from static light scattering (closed circles) are compared with computer simulation (Monte Carlo) results (symbol x) and theoretical predictions (lines) obtained from the Ornstein-Zernike equation and different closure relations. The computer simulations and the theoretical calculations where carried out assuming that the interaction between the... 

The problem of scattering by isotropic, chiral spheres has been treated by Bohren [16], and Bohren and Huffman [17] using rigorous electromagnetic field-theoretical calculations, while the analysis of nonspherical, isotropic, chiral particles has been rendered by Lakhtakia et al. [135]. To accoimt for chirality, the surface fields have been approximated by left- and right-circularly polarized fields and the same technique is employed in our analysis. The transmission boundary-value problem for a homogeneous and isotropic, chiral particle has the following formulation. 

Experimental data were used to calculate the absorption spectrum of a monolayer, the effective scattering, absorption, and extinction coefficients. The optical properties of a single granule were theoretically obtained with Mie theory for the homogeneous and two-layered spheres with regard to size-dependence of Cu optical constants in the frame of the model of a mean free path electron limitation... 

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