Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method

Area of Science:

• Acoustics
• Signal Processing
• Computational Physics

Background:

• Nearfield acoustic holography traditionally reconstructs acoustic fields.
• Existing time-domain equivalent source methods (ESM) have limitations in direct source surface pressure reconstruction.

Purpose of the Study:

• To propose an interpolated time-domain equivalent source method (ESM) for direct transient acoustic field reconstruction.
• To address the ill-conditioned nature of the reconstruction process and cumulative errors.

Main Methods:

• Developed an interpolated time-domain ESM formulation incorporating an interpolation function.
• Employed Tikhonov regularization to stabilize the iterative reconstruction process.
• Validated the method through numerical simulations of various acoustic sources.

Main Results:

• Successfully reconstructed transient acoustic fields directly in the time domain.
• Demonstrated the ability to visualize acoustic fields in the space domain.
• Showcased the effectiveness of Tikhonov regularization in suppressing cumulative errors.

Conclusions:

• The interpolated time-domain ESM is effective for transient acoustic field reconstruction.
• The method allows for direct time-domain analysis and space-domain visualization.
• Tikhonov regularization is crucial for stabilizing the reconstruction and managing errors.