Rayleigh-Gans scattering

Figure 6.1 Coordinate systems for determining scattering by an arbitrary particle in the Rayleigh-Gans approximation. 

In Chapter 8 we shall derive the field scattered by an infinite cylinder of arbitrary radius and refractive index we shall also consider scattering by a finite cylinder in the diffraction theory approximation. Although the finite cylinder scattering problem is not exactly soluble, we can obtain analytical expressions for the amplitude scattering matrix elements in the Rayleigh-Gan s approximation. 

For spheres sufficiently small that Rayleigh theory (Chapter 5) is applicable, or for arbitrarily shaped particles that satisfy the requirements of the Rayleigh-Gans approximation (Chapter 6), incident light with electric field components parallel and perpendicular to the scattering plane may be scattered with different amplitudes however, there is no phase shift between the two components. Hence, the amplitude scattering matrix has the form... 

Measurements by Thompson et al. (1978) on cultured populations of phytoplankton, such as might be expected to scatter light in ocean waters, revealed only a scattering matrix of the form (13.5), characteristic of particles for which either the Rayleigh (Chapter 5) or Rayleigh-Gans (Chapter 6) approximations are valid. 

P. L. Frattini, and G. G. Fuller, Conservative dichroism of a sheared suspension in the Rayleigh-Gans light scattering approximation, J. Coll. Inter. Sci., 119, 335 (1987). 

For small colloidal particles (a < 1 /mi), with spherically symmetric distribution of scattering material inside its volume, the field amplitude is given by the Rayleigh-Gans-Debye approximation [38]... 

The Rayleigh-Gans equation for the angular dependence of the intensity of the scattered light is given for spherical particles of low refractive index by the equation [45] ... 

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

Static light scattering (SLS) was performed with a Fica-50 photometer using vertically polarized light (A = 436 and 546 nm). A correction was made for scattering of the solvent. The Rayleigh-Gans-Debye... 

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