TL;DR
This paper presents a method to construct electromagnetic wavelets using scalar wavelets and describes how to design oblate spheroidal antennas for their efficient production and reception, including source computation.
Contribution
It introduces a novel approach to generate electromagnetic wavelets via scalar superpotentials and details the design of spheroidal antennas for their practical implementation.
Findings
Oblate spheroidal antennas can be formed by deforming branch cuts.
Unique interior fields determine boundary conditions for surface sources.
The impulse response of the antenna is explicitly computed.
Abstract
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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