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Time-harmonic electromagnetic wave diffraction by a perfectly electrically conducting (PEC) finite rotationally symmetric surface located in free space is investigated. The problem is split to independent azimuth orders and reduced to the sets of coupled hypersingular and singular integral equations (IEs) for the surface current components. These IEs are discretized by the Nystrom-type method of discrete singularities using the interpolation type quadrature formulas. From the solutions of corresponding matrix equations the near-and the far-field patterns are obtained. The presented method has guaranteed convergence for arbitrary not axially symmetric primary field.Index Terms-Body of revolution (BOR), focusing, interpolation type quadrature formulas, radar cross-section, scattering, singular and hypersingular integral equations.

The authors consider the electromagnetic field in the presence of a dielectric body of revolution (BOR) in the axially symmetric case. The associated Muller boundary integral equation (IE) is reduced to a set of two IEs, further discretised using the Nystrom method. They derive a determinantal equation for the search of natural modes and present a new approach for the calculation of its roots. Results obtained are compared with known data for a dielectric sphere and a BOR generated by a super-ellipse as an approximation of a finite circular cylinder. The resonant frequencies and the Q-factors of the natural modes of a dielectric spheroid are studied.

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