Characterization and Modeling Simulation of the Acoustic Field Generated By Cylindrical Piezoelectric Ceramic Ultrasonic Transducer

Cylindrical piezoelectric ceramic transducers form an approximate cylindrical focal region, making it easier for lines to sweep into a surface. Therefore, they have great potential in fields such as medicine and special machining.The factors that affect the performance of a cylindrical focusing system include frequency, sound power, and semi convergence angle.At present, the theory of studying the sound pressure and amplitude of cylindrical focusing systems based on these parameters is not yet complete.Therefore, without considering the influence of acoustic wall reflection, this article establishes a mathematical model of sound pressure and amplitude that includes factors such as frequency, sound power, and half convergence angle.Through the COMSOL Multiphysics pressure acoustic frequency domain simulation, the sound pressure at the focus is measured, and the exponential type attenuation coefficient of the cylindrical piezoelectric ceramic transducer is solved.The average error of exponential type attenuation coefficient is 6.5% when the sound power is constant and the frequency is sampled at quarter-wave time of the wavelength (n=1, 2,...).When the frequency is constant and the sound power changes, the average error of the exponential type attenuation coefficient is 1%, and the exponential type attenuation coefficient is mainly affected by the frequency.Based on the mathematical model of sound pressure and amplitude, analyze the effects of frequency, sound power, and half convergence angle on the sound pressure, amplitude, and optimal wavelength at the focal point.