It is shown that several problems in outdoor sound propagation cannot be studied by using a small-angle parabolic equation, and need a wide-angle parabolic equation for their solution. On the other hand, the wide-angle parabolic equations for sound propagation in the atmosphere, used previously in the literature, do not allow one to describe the effects of regular and random inhomogeneities in the density and wind velocity vector on sound propagation and scattering. The main result of the paper is the derivation of the wide-angle parabolic equation and its Pade (1,1) approximation which enable one to describe these effects. Several effects in outdoor sound propagation, which are proposed to be studied numerically on a basis of the derived wide-angle parabolic equation, are enumerated.
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