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An approximate method for solution of problems in turbulent diffusion is described and applied to radio wave propagation in the lower atmosphere for some boundary value problems not previously examined in the literature. The results of the approximate method are compared with results of a special case for which the diffusion equation can be solved exactly. The height distribution of the refractive index structure parameter and the thickness of the radio duct are calculated for air moving over a lower surface that (a) changes refractive index abruptly (e.g., a shoreline), (b) changes refractive index continuously, or (c) suddenly increases or decreases surface roughness.