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An asymptotic formula for the problem of diffraction by a strongly elongated body of revolution is constructed. Its uniform nature with respect to the parameter that characterizes the rate of elongation is demonstrated. The results are in good agreement with numerical simulations.

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An approach to construct approximations for the diffracted field on the surface of strongly elon gated bodies is suggested. The approach is based on high frequency asymptotic decomposition which is con structed under the supposition that transverse curvature of the surface is asymptotically large. Leading order terms of asymptotic decompositions for the fields diffracted by spheroid, one sheeted and two sheeted hyperboloids and on narrow cone are derived.