Abstract

By applying the methods of obtaining sum rules in particle physics to the dispersion relations for optical scattering amplitudes, we obtain a number of sum rules. The most useful show that the total volume fraction of arbitrarily shaped scatterers is proportional to the integral of the attenuation coefficient over wavelength. For spheres, we show that the volume-weighted mean-square radius is related to the second moment of the attenuation coefficient.

© 1982 Optical Society of America

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Equations (48)

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