Mie theory/scattering

When the more general Mie scattering theory is applied the approach adopted in deriving the previous fomulae cannot he used. One is, however, able to derive an analytical expression for the moments of the size distribution within the detector cell. They are given as ... 

In contrast to the method based on Rayleigh scattering, the procedure based on Mie scattering theory (a) is not restricted to small particles, (b) chemical absorption may be considered, (c) and lastly, it can be extended to permit the use of a nonlinear... 

Pinnick R. G., J. M. Rosen, and D. J. Hoffmann, 1973. Measured light-scattering properties of individual aerosol particles compared to Mie scattering theory, Appl. Opt., 12, 37-41. 

Fig. 3. (a) Theoretically predicted extinction coefficients for materials having refractive indices, n, and size parameters, x, as predicted from Mie scattering theory and (b) the normalized extinction coefficient for a grain... 

This paper describes the development of a particle sizing technique utilizing the visibility parameter and the Mie scattering theory for spherical particles. The technique allows the measurement of size and velocity of individual particles and was tested in fuel sprays under both burning and non burning conditions. 

At a specific radial distance the moving particles interrupt and attenuate a light beam, the intensity of which is measured by a photodetector. The particle size is related to the appearance time at the photodetector by means of Stokes Law for centrifugation. The concentration of particles is obtained from the photodetector response and the application of Mie scattering theory.(1) A very Important step in this operation is the formation of a density gradient within the spin fluid to allow a hydrodynamically stable separation of the suspended particles. An accepted method for forming this spin fluid density gradient within the disc cavity is the widely used and patented (2) Joyce-Loebl Buffered Line Start... 

Knowing R, the extinction efficiency factor (Q) can be found, by Mie scattering theory for the sphere [7], Then the particles concentration is N = y I (QnR2Lt2), where L is the distance between windows, t is the transparency of the window. 

The extinction coefficient within the Mie scattering theory for a spherical particle is given by ... 

Most commercial instruments use optical models in tlicir analysis software that arc based on Mie scattering theory or Fraunhofer diffraction. Mie theory provides a complete soluuon to the problem of light scattering by a sphere, including the eiTccis of transmitted and absorbed light. On the other hand, the Fraunhofer dif-... 

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