Modeling of CW annular arrays using limited diffraction Bessel beams

Area of Science:

• Acoustics
• Wave propagation
• Array signal processing

Background:

• Characterizing acoustic fields from transducers is crucial for applications.
• Annular arrays are widely used but their complex fields require advanced analysis.
• Existing methods may not fully capture the detailed propagation characteristics.

Purpose of the Study:

• To present a novel method for characterizing the linear acoustic field of continuous-wave annular arrays.
• To utilize limited-diffraction Bessel beams for comprehensive field analysis.
• To provide a deeper understanding of emitted fields compared to previous studies.

Main Methods:

• Employing Fourier-Bessel series to model transducer surface pressure.
• Decomposing the acoustic field into a sum of Bessel beams.
• Applying numerical analysis to specific, previously studied annular transducer configurations.

Main Results:

• Successfully characterized the linear field of two distinct annular arrays.
• Gained enhanced insights into the acoustic field propagation beyond prior knowledge.
• Demonstrated the effectiveness of the Bessel beam decomposition technique.

Conclusions:

• The Fourier-Bessel series method offers a powerful approach to analyze annular array fields.
• This technique enhances understanding of acoustic wave propagation from such arrays.
• The method shows potential for extension to pulsed waves and non-annular arrays.