Total harmonic distorsions in an oscillatory circuit with a ferroelectric capacitor with negative capacitance

Abstract

An oscillating circuit including as a capacitor a two-layer ferroelectric structure exhibiting negative capacitance is considered. It is shown that the charge of such capacitor is described by the Duffing equation with a homoclinic figure of “eight”. The dependence of the nonlinear distortion coefficient with respect to the voltage across the two-layer structure on the electromagnetic energy stored in the circuit is calculated. The asymptotics of the coefficient near the homoclinic figure of eight is determined. The orders of the physical quantities in the circuit are estimated.