Analysis and Design of Capacitive Parametric Ultrasonic Transducers for Efficient Ultrasonic Power Transfer Based on a 1-D Lumped Model

There is an increasing interest in wireless power transfer for medical implants, sensor networks, and consumer electronics. A passive capacitive parametric ultrasonic transducer (CPUT) can be suitable for these applications as it does not require a dc bias or a permanent charge. In this paper, we present a 1-D lumped parameter model of the CPUT to study its operation and investigate relevant design parameters for power transfer applications. The CPUT is modeled as an ultrasound-driven piston coupled to an RLC resonator resulting in a system of two coupled nonlinear ordinary differential equations. Simulink is used along with an analytical approximation of the system to obtain the voltage across the capacitor and displacement of the piston. Parametric resonance threshold and ultrasound-to-electrical conversion efficiency are evaluated, and the dependence of these performance metrics on the load resistance, input ultrasound intensity, forcing frequency, electrode coverage area, gap height, and the mechanical Q-factor are studied. Based on this analysis, design guidelines are proposed for highly efficient power transfer. Guided by these results, practical device designs are obtained through COMSOL simulations. Finally, the feasibility of using the CPUT in air is predicted to set the foundation for further research in ultrasonic wireless power transfer, energy harvesting, and sensing.