Arrays of electrostatically coupled oscillators
We investigate complex collective dynamics of electrostatically coupled arrays of micro- and nanoelectromechanical (MEMS/NEMS) oscillators, interacting through nonlinear elastic, electromagnetic, or electrostatic forces. The dynamics of these structures are described by a discrete counterpart of the (linear or nonlinear) Klein-Gordon (KG) equation, which supports traveling wave solutions. One of the distinguishing features of the arrays coupled through fringing electrostatic fields is that they support traveling waves and can be viewed as discrete waveguides with easily tunable properties. Arrays of resonators interacting through fringing electrostatic fields support traveling waves, and can be also considered as a realization of metamaterials, which are the materials with controlled space- and time dependent properties.
S. Krylov, S. Lulinsky, B. R. Ilic, I. Schneider, Applied Physics Letters, 105, 071909, 2014.
C. B. Wallin, R. De Alba, D. Westly, G. Holland, S. Grutzik, R. H. Rand, A. T. Zehnder, V. A. Aksyuk, S. Krylov, B. R. Ilic, Physical Review Letters, 121, 2018, pap. 4301
Array of micro-cantilevers actuated by fringing electrostatic fields [43]. (b) Localized modal patterns of the array, acquired by image processing. Darker regions correspond to higher vibrational amplitudes of the cantilevers. (c) Modal patterns switching during the excitation frequency sweep. (d) Measured modal patterns of the array, illustrating a combination parametric resonance
P. Rosenau, S. Krylov, “Solitary waves in electro-mechanical lattices,” Chaos, 33, pp. 123124, 2023.