Resonant behavior of dielectric objects (electrostatic resonances)
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Updated: Aug 29, 2026

Fabrication and Characterization of Superconducting Resonators
Published on: May 21, 2016
1Department of Physics, University of California-San Diego, La Jolla, California 92037, USA. drfredkin@ucsd.edu
Abstract:
Resonant behavior of dielectric objects occurs at certain frequencies for which the object permittivity is negative and the free-space wavelength is large in comparison with the object dimensions. Unique physical features of these resonances are studied and a novel technique for the calculation of resonance values of permittivity, and hence resonance frequencies, is proposed. Scale invariance of resonance frequencies, unusually strong orthogonality properties of resonance modes, and a two-dimensional phenomenon of "twin" spectra are reported. The paper concludes with brief discussions of optical controllability of these resonances in semiconductor nanoparticles and a plausible, electrostatic resonance based, mechanism for nucleation and formation of ball lightning.
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