Nonparaxial multi-Gaussian beam models and measurement models for phased array transducers

Area of Science:

• Acoustics and Ultrasonics
• Medical Imaging
• Transducer Technology

Background:

• Paraxial Gaussian beam models exhibit limitations in accurately simulating the beam steering behavior of phased array transducers.
• Accurate modeling of ultrasonic fields is crucial for applications such as medical imaging and non-destructive testing.

Purpose of the Study:

• To introduce a nonparaxial multi-Gaussian beam model to enhance the accuracy of simulating phased array transducer sound fields.
• To develop an ultrasonic measurement model for investigating transducer sensitivity relative to steering angles.

Main Methods:

• Development and application of a nonparaxial multi-Gaussian beam model.
• Calculation of focusing and steering sound fields using the proposed model.
• Comparison of model predictions with paraxial multi-Gaussian beam models and the Rayleigh-Sommerfeld integral model.
• Experimental validation of the developed ultrasonic measurement model.

Main Results:

• The nonparaxial multi-Gaussian beam model demonstrates improved accuracy in simulating beam steering compared to paraxial models.
• The proposed ultrasonic measurement model accurately predicts transducer sensitivity across various steering angles.
• Model predictions show strong agreement with experimental results, confirming the model's validity.

Conclusions:

• The nonparaxial multi-Gaussian beam model offers a more accurate approach for simulating ultrasonic phased array fields.
• The novel ultrasonic measurement model provides a reliable tool for characterizing phased array transducer performance.
• This work advances the simulation accuracy and understanding of phased array transducer behavior in ultrasonic applications.