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Sum rules for Mie scattering

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Abstract

By making use of the recently derived asymptotic expansion to the Mie forward-scattering amplitude, we are able to employ complex contour-integration techniques to derive three sum rules in the case of a constant real refractive index. The results are in good agreement with numerical calculation. Extension to complex refractive indices may be possible under certain analyticity conditions.

© 1987 Optical Society of America

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Equations (20)

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