Abstract
Using the solution for multidimensional integral equation obtained in the author's earlier paper by the Taylor expansion method, the stochastic integral equation for a multiply scattered field is solved in stochastic form. From this, the mean value and space‐time correlation function of the multiply scattered field are obtained, in terms of the shape, size, number density and distribution region of scatterers. Both the near and far field are obtained. The results show that, for the first‐order approximation, the results agree with those obtained from the Born approximation, for the second‐ and third‐order approximations, the results agree with those obtained from the Neumann series expansion method in [1]. Therefore, these results also show better agreement with experimental results than those obtained from Twersky's formula.
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