Arbitrarily shaped particles

Banderman and Kemp (1973) have treated scattering by arbitrarily shaped particles in a manner similar to that of Purcell and Pennypacker (1973). 

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... 

A similar argument can be made for arbitrarily shaped particles, yielding... 

J. C. Ku and K. H. Shim, A Comparison of Solutions for Light Scattering and Absorption by Agglomerated or Arbitrarily-Shaped Particles, Journal of Quantitative Spectroscopy and Radiative Transfer, 47, pp. 201-220,1992. 

Vrinceanu, D., Gheorghiu, E., 1996. Shape effects in the dielectric behaviour of arbitrarily shaped particles with particular reference to biological cells. Bioelectrochem. Bioenerg. 40, 167—170. 

Brenner (1962, 1964, 1966) has given a generalized analysis of Stokes flow for an arbitrary particle in an infinite medium. In addition, Brenner (1961) has suggested a relation between Oseen drag and Stokes drag for an arbitrarily shaped particle ... 

Hage, J. I, Greenberg, J. M., and Wang, R. T. [1991] Scattering from arbitrarily shaped particles theory and experiment, Appl Optics, 30, 1141-1152. 

Although computational fluid dynamics (CFD) methods like FEM are in principle capable of dealing with arbitrarily shaped particles, the inherent limitation of SD necessitates the choice of spherical particles for a comparative study. Particles have small gaps between surfaces (gap-to-radius ratio of 0.0003), allowing for an easier mesh generation. Our method validation includes simple structures also chosen by Binder et al. [54]—a doublet of two spherical particles and a 7-particle star. 

Consider an arbitrarily shaped particle in a flow field. Decompose all local flow variables, denoted by a single prime, into an average value (averaged over a scale large compared to the diameter of the partide considered) and a local... 

The null-field method is a general technique and is applicable for arbitrarily shaped particles. However, for nonaxisymmetric particles, a semi-convergent... 

L. E. Paramonov, T-matrix approach and the angular momentum theory in light scattering problems by ensembles of arbitrarily shaped particles, J. Opt. Soc. Am. A 12, 2698 (1995)... 

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