Scattering of Phonons by a Square-Well Potential and the Effect of Colloids on the Thermal Conductivity. II. Theoretical

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Abstract
The scattering cross section of an elastic sphere as a function of frequency has been obtained for a number of representative combinations of the properties of the sphere and the matrix. These are obtained from a partial-wave analysis and are intended to be used primarily in the computation of thermal conductivity. To simplify the problem, it has been assumed that both the sphere and the matrix are isotropic and that they obey the Cauchy relations. From the exact results, suitable procedures for obtaining analytic approximations are discussed.