Nonlinear Properties of Superconducting Microstrip Hilbert Fractal Resonators

The series of nonlinear amplitude-frequency characteristics are investigated for two superconducting niobium microstrip fractal Hilbert resonators with a large number of sharp or smooth turns. A different extent of local and global nonlinearity dominance, depending on the type of turns, was found. A significant increase in the nonlinear response was observed during the transition from smooth to sharp turns.