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Computations of Light-Scattering and Extinction by Spheres According to Diffraction and Geometrical Optics, and Some Comparisons with the Mie Theory

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Abstract

The scattering and extinction of light by systems of transparent, spherical particles have been calculated on the basis of classical diffraction and of geometrical scattering by external reflection and transmission, for the refractive index range 1.1 to 2.0 and scattering angles up to about 40°, and presented as a set of graphs for general use. Provided that the particles are larger than 3 or 4 wavelengths of light, and that there is a sufficient range (say 2:1) of particle sizes present to average out effects of phase, the scattering and extinction calculated in this way agree well with such direct calculations by the Mie theory as are at present available. It is thought that the treatment should also be successful with irregular particles, and to some extent with nontransparent ones, such as often occur in airborne dusts in industry. The conditions under which scattering and extinction measurements can be used to estimate the surface-area of particles in suspension in air or liquid are discussed.

© 1963 Optical Society of America

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