High-frequency diffraction of a dipole field on a strongly elongated spheroid

The problem of high-frequency diffraction of a dipole field by a perfectly conducting strongly elongated spheroid is considered in parabolic equation approximation. The leading order term is represented in the form of Fourier series with each harmonics expressed by an integral involving Whittaker functions. The amplitudes under the sign of integration are obtained as the solutions of the integral equations and are expressed explicitly in terms of Whittaker functions.