Analytical Modeling and Design of Fresnel Lens Transducers

TL;DR

This paper introduces an analytical model for designing Fresnel Lens transducers that generate specific acoustic wave patterns, including converging and vortexing effects, through innovative electrode shaping and sector segmentation.

Contribution

It provides a novel analytical modeling approach for circularly symmetric piezoelectric transducers and demonstrates design techniques for generating unique acoustic wave patterns.

Findings

Analytical model accurately predicts transducer performance.

Designs successfully produce converging and vortexing acoustic effects.

Simulation results validate the effectiveness of the proposed models.

Abstract

In this paper, we present an analytical modeling technique for circularly symmetric piezoelectric transducers, also called as Fresnel Lens. We also present the design of a flat/piston transducer that can generate unique acoustic wave patterns, having both converging and vortexing effects. The converging effect is generated by designing the transducer electrodes in the shapes of circular rings using Fresnel formula and exciting it with an RF signal of resonant frequency. The vortexing effect is achieved by cutting the rings to different sector angles: 90, 120, 180 and 270 degrees. We use the analytical model to simulate the performance of these transducers.