Making electromagnetic wavelets
Copyright policy )Making electromagnetic wavelets
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.
29 pages, 4 figures; minor corrections and additions
31-XX, 35-XX, 78-XX, 83-XX, FOS: Physical sciences, Nontrigonometric harmonic analysis involving wavelets and other special systems, Mathematical Physics (math-ph), General Relativity and Quantum Cosmology (gr-qc), Antennas, waveguides in optics and electromagnetic theory, General Relativity and Quantum Cosmology, electromagnetic wavelets, Waves and radiation in optics and electromagnetic theory, Mathematical Physics, Physics - Optics, Optics (physics.optics)
31-XX, 35-XX, 78-XX, 83-XX, FOS: Physical sciences, Nontrigonometric harmonic analysis involving wavelets and other special systems, Mathematical Physics (math-ph), General Relativity and Quantum Cosmology (gr-qc), Antennas, waveguides in optics and electromagnetic theory, General Relativity and Quantum Cosmology, electromagnetic wavelets, Waves and radiation in optics and electromagnetic theory, Mathematical Physics, Physics - Optics, Optics (physics.optics)
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