Rayleigh-Debye-Gans scattering

The conditions for Rayleigh-Debye-Gans scattering are as follows ... 

Figure 2.15. Application ranges for various theories (R Rayleigh scattering RDG Rayleigh-Debye-Gans scattering).

For a symmetrically shaped particle in the Rayleigh-Debye-Gans scattering regime,... 

FIGURE 5.71 The Rayleigh-Debye-Gans theory is based on the assumptions that (1) the incident beam propagates without being affected by the particles, and (2) the scattered hght, received by the detector, is a superposition of the beams emitted from the induced dipoles in the different parts of the particle. 

The Rayleigh-Debye-Gans differential scattering cross section in the scattering plane for vertically polarized light (Eigure 14.1) is... 

In Equation 14.22 the subscripts RDG and R denote Rayleigh-Debye-Gans and Rayleigh. In Equation 14.23b q is the scattering wave vector to be discussed below. 

Wang, G.M., and Sorensen, C.M., Experimental test of the Rayleigh-Debye-Gans theory for light scattering by fractal aggregates, Appl. Opt, submitted. 

T. L. Farias, M. G. Carvalho, U. 0. Koylii, and G. M. Faeth, Computational Evaluation of Approximate Rayleigh-Debye-Gans/Fractal Aggregate Theory for the Absorption and Scattering Properties of Soot, ASME Journal of Heat Transfer, 117, pp. 152-159,1995. 

The optical spectroscopy is commonly applied to such colloidal suspensions that obey the Rayleigh limit or the Rayleigh-Debye-Gans limit of scattering (cf. Appendix B.2). In this case the spectra usually have a smooth and monotone shape, from which only a few details of the size distribution can be deduced. Yet, for metals with a surface plasmon resonance in the optical domain (e.g. Ag or An), one observes a distinct, size dependent maximum in the turbidity spectra of nanoparticles (Fig. 2.17 cf. Njoki et al. 2007). The presence of such a maximum can clearly enhance the information content of the spectrum. 

Rayleigh-Debye-Gans (RDG) Scattering of Single A regates... 

Such a type of scattering is called Rayleigh-Debye-Gans (RDG) scattering. The amplitude functions of RDG can be written as ... 

The Rayleigh-Debye-Gans model of scattering predicts that for N particles in a scattering volume V, each particle will occupy a volume Vp and the total scattered intensity L from a beam of vertically polarized incident light is the summation of the individual scattering intensities, modified by an additional term that contains a structure factor S (rij) that accounts for the inter-particle interaction as shown in Eq. 2.35. 

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