Customization of the angular spectrum method for calculating the acoustic piston field transmitted through a solid...

Area of Science:

• Acoustics
• Materials Science
• Numerical Methods

Background:

• The angular spectrum (AS) model is crucial for analyzing acoustic wave propagation.
• Calculating acoustic fields through materials like steel plates requires efficient numerical methods.
• Traditional methods using the fast Fourier transform (FFT) can be computationally intensive.

Purpose of the Study:

• To develop a more efficient MATLAB program for calculating acoustic pressure fields.
• To adapt the angular spectrum model for a piston source transmitting through a steel plate in water under normal incidence.
• To provide a free and accessible computational tool for researchers.

Main Methods:

• Customization of the angular spectrum (AS) model for a specific scenario.
• Development of a MATLAB program utilizing Gauss quadrature and a generalized Filon method.
• Conversion of the 2D AS model to a 1D model in cylindrical coordinates.
• Implementation of adaptive numerical integration algorithms with error control.

Main Results:

• The developed MATLAB program efficiently calculates the spatial acoustic pressure field.
• Convergence analysis demonstrates superior efficiency compared to the FFT-based approach.
• The program accurately transforms the pressure wavenumber spectrum into the spatial domain.

Conclusions:

• The novel MATLAB program offers a significant improvement in computational efficiency for acoustic field calculations.
• The combination of Gauss quadrature and a generalized Filon method provides accurate results.
• The program's accessibility and efficiency make it a valuable resource for the scientific community.