Resonant Meta-atoms with Nonlinearities on Demand
  Nonlinear light-matter interactions and their applications are constrained by properties of available materials. The use of metamaterials opens the way to achieve precise control over electromagnetic properties at a microscopic level, providing new tools for experimental studies of complex nonlinear phenomena in photonics. Here a doubly resonant nonlinear meta-atom is proposed, analyzed and characterized in the GHz spectral range. The underlying structure is composed of a pair of split rings, resonant at both fundamental and nonlinear frequencies. The rings share a varactor diode, which serves as a microscopic source of nonlinearity. Flexible control over the coupling and near- and far-field patterns are reported, favoring the doubly resonant structure over other realizations. Relative efficiencies of the second and third harmonics, generated by the diode, are tailored by dint of the double-ring geometry, providing a guideline for selecting one frequency against another, using the design of the auxiliary structures. The on-demand control over the microscopic nonlinear properties enables developing a toolbox for experimental emulation of complex nonlinear phenomena. 
Dmitry Filonov, Yotam Kramer, Vitali Kozlov, Boris A. Malomed, and   Pavel Ginzburg
cond-mat.other physics.optics