Uniform asymptotic theory for the edge diffraction of cylindrical waves

The uniform asymptotic theory of diffraction is reintroduced in terms of the Fresnel cylinder function for the diffraction problems of cylindrical waves. The transition function of the above theory, which compensates the discontinuities of the diffracted wave, is constructed according to the new function. The scattering problem of waves by a resistive half‐plane is studied by the aid of the improved method. The uniform wave expressions are compared with the ones, obtained by the Fresnel integral at the near and far fields of the edge.