Dipole Field Diffraction by a Strongly Elongated Spheroid in High-Frequency Approximation

The description of high-frequency diffraction by elongated spheroids encounters well-known difficulties. In particular, numerical analysis requires extensive computations, while high-frequency asymptotic expansion established by Fock, appears inaccurate for spheroids with high aspect ratio b/a (where a and b are the minor and the major semiaxes). The special asymptotic procedure have been developed in [1]-[3] and other papers under the assumption that ka
²
/b remains finite, while kb is asymptotically large. All that papers considered plane wave incidence. In this paper we extend the approach and study the effects of diffraction of the incident wave generated by a point dipole source. The final expression for the electromagnetic field is given as the sum of Fourier harmonics, each represented in the form of an integral involving Whittaker functions.