K-space Prony's method for generating the basis functions of multi-Gaussian beam models

Area of Science:

• Acoustics
• Ultrasonic beam modeling
• Computational physics

Background:

• Accurate modeling of ultrasonic fields is crucial for applications like medical imaging and non-destructive testing.
• Traditional methods for ultrasonic beam modeling can be computationally intensive.
• Multi-Gaussian beam models offer a flexible approach but require efficient parameter extraction.

Purpose of the Study:

• To introduce a novel and computationally efficient method for determining the expansion coefficients of multi-Gaussian ultrasonic beam models.
• To demonstrate the applicability of the proposed method across different types of ultrasonic transducers.
• To analyze the influence of method parameters on modeling performance.

Main Methods:

• Application of Prony's method in the K-space domain for ultrasonic beam modeling.
• Direct fitting of Gaussian beams at the transducer face.
• Validation using planar, focused piston, and non-piston transducers.

Main Results:

• The K-space Prony's method achieves high computational efficiency.
• Accurate modeling of transducer fields for various transducer geometries was demonstrated.
• The method successfully captures the complex behavior of ultrasonic fields.

Conclusions:

• The K-space Prony's method provides an accurate and efficient approach for ultrasonic beam modeling.
• This method is versatile and applicable to a wide range of ultrasonic transducer designs.
• Further analysis of parameter choices can optimize the performance of the K-space Prony's method.