On the Validity of Soft-particle Approximations for the Scattering of Light by Infinitely Long Homogeneous Cylinders

Abstract

The relationship between the Hart-Montroll approximation and various other soft particle approximations has been examined for the scattering of light by infinitely long homogeneous cylinders. Numerical comparisons of this approximation with exact results and other approximations have been presented. It is noted that this approximation can be used to obtain the diameter of the particles to within 1% in the domain 1·05  m  1·15 and 5  x  20·0, m and x being the relative refractive index and the size parameter of the particle respectively.