Making electromagnetic wavelets

Details Making electromagnetic wavelets Making electromagnetic wavelets

2004-02-04

arxiv.org/abs/math-ph/0402006v3

J.Phys.A37:5929,2004

Physics

Mathematical Physics

29 pages, 4 figures; minor corrections and additions

Scientific paper

10.1088/0305-4470/37/22/015

Electromagnetic wavelets are constructed using scalar wavelets as superpotentials, together with an appropriate polarization. It is shown that oblate spheroidal antennas, which are ideal for their production and reception, can be made by deforming and merging two branch cuts. This determines a unique field on the interior of the spheroid which gives the boundary conditions for the surface charge-current density necessary to radiate the wavelets. These sources are computed, including the impulse response of the antenna.

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