Sum Rules for Optical Extinction and Scattering by Small Particles.
Annual rept. 16 May 84-16 May 85,
PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF METEOROLOGY
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The solution to the problem of scattering by an arbitrary homogeneous sphere Mie theory yields an infinite set of coefficients. These scattering coefficients depend on various Bessel functions and their derivatives. The usual approach to computing scattering coefficients is to compute the Bessel functions by recurrence. The Bessel functions in the expressions for the scattering coefficients satisfy recurrence relations. It has been shown that the scattering coefficients themselves satisfy recurrence relations. Whether or not the recurrence relations can simplify scattering calculations must be determined by extensive calculations. It is not known if the recurrence relations are stable, either upward or downward. These matters are for further investigation.
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