Abstract
Phased array transducers (PATs) are used in many applications, from airborne ultrasonic tactile displays to acoustic levitation. Acoustic holograms play a significant role in determining the performance of these applications. Many PATs and optimizers have been developed; however, only the following have been demonstrated in the literature: “phase” and “phase and amplitude” control of transducers and “phase” and “amplitude” only control at target points. Thus, most of the combinations of transducer state and target acoustic field conditions are yet to be explored. Here, we explore such combinations using Diff-PAT, one of the latest acoustic hologram optimizers. Diff-PAT is based on automatic differentiation and stochastic gradient descent. This optimizer achieves higher accuracy than conventional optimizers. We formulated multiple loss functions and wave propagators to enable each combination of the operation mode and quantitatively assessed the performance of each combination. The developed optimizers will offer new opportunities in the field and could allow further simplifications in PAT applications.
Highlights
Sakiyama et al developed the Levenberg–Marquardt (LM) algorithm based method in 2020,10 and Suzuki et al
Demonstrated a Greedy Algorithm (GA) with brute-force search method in 2021.11 Most recently, Fushimi et al developed a new acoustic hologram optimization method based on the stochastic gradient descent algorithm and automatic differentiation called Diff-Phased array transducers (PATs).12
While many optimization methods and PATs have been developed, these optimizers can only optimize for phase or amplitude at the target point
Summary
Sakiyama et al developed the Levenberg–Marquardt (LM) algorithm based method in 2020,10 and Suzuki et al. While many optimization methods and PATs have been developed, these optimizers can only optimize for phase or amplitude at the target point.
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