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Field singularities at the tip of a metallic cone of arbitrary cross section

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2 Author(s)
de Smedt, Ronald ; University of Ghent, Ghent, Belgium ; Van Bladel, J.

The "spherical-harmonics" problem is investigated for a cone of arbitrary cross section. The analysis shows that two basic singularities must be considered: 1) the electric singularity, in which \bar{e} becomes infinite like R^{\nu-1} near the tip of the cone, 2) the magnetic singularity, in which \bar{h} becomes infinite like R^{\tau -1} . Numerical results, in particular concerning \nu and \tau , are given for: 1) the elliptic cone and its limiting case the sector, 2) the pyramidal corner.

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Antennas and Propagation, IEEE Transactions on  (Volume:34 ,  Issue: 7 )