It does mention the same goal as Stalker did in one of his videos which is the "synchronizing a standing wave resonance with LC resonance frequency." (LC- and ¼ wave resonances match) in his Grenade coil.
The problem with this statement is that the lumped model of LC resonance is irrelevant at wavelengths approaching the length of the coil. This is because in this lumped model, the current is analytically presupposed to be uniformly distributed along the wire of the coil (see this). The standard wave reflections still happen in such coils but they do not happen isotropically at speeds determined by the permeability and permittivity of empty space but anisotropically at the speeds determined by permittivity of the wire insulation and the coil-former and permeability of the turns. NOTE: The speed of light in empty space is c=1/√(ε 0μ 0) where: ε 0 is the permittivity of empty space. μ 0 is the permeability of empty space. Reflections happen at any boundary where the impedance changes. Impedance is also determined by ε and μ. Multiple winding layers or multiple windings with multiple spacings complicate the matter further. "A coil that self-oscillates at only one frequency" could serve as a signal source and possibly used for cascading several to build up to produce any significant power?
It certainly would be useful for construction of narrowband filters and tuned transformers and for the application of single-frequency magnetic fields to objects inside the coil, as well as reception of a particular frequency of the magnetic field. However the narrow bandedness of the coil says nothing about its quality (how much energy it loses per 1 cycle of oscillation). From the scopeshots in that paper it is apparent that the single-frequency oscillations in the optimized coil still decay rapidly, so its Q is low. Thus alone, such coils cannot be a source of any energy gain.
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