研究目的
To derive an expression for the expansion coefficients of propagating, axisymmetric sound fields in terms of Bessel beams and apply this to a linear focused axisymmetric sound field radiated from a spherical cap source.
研究成果
The study successfully derives and applies an expression for expanding axisymmetric sound fields in terms of Bessel beams, demonstrating good agreement with previous models and experimental data. The method is particularly useful for scattering problems and radiation force calculations, offering a new approach to evaluating sound fields and their interactions with objects.
研究不足
The method's accuracy is limited near the source due to approximations in the physical optics model. The model does not account for self-loading effects of the radiating surface, which become significant with increased curvature.
1：Experimental Design and Method Selection:
The study employs a physical optics model for sound propagation near the source to calculate Bessel beam expansion coefficients. The model is based on the Helmholtz equation and uses a superposition of Bessel beams to represent the sound field.
2：Sample Selection and Data Sources:
The sound field is modeled for a spherically curved radially-vibrating surface with specific focal length and aperture radius, similar to sources studied in previous works.
3：List of Experimental Equipment and Materials:
The study involves numerical integration and comparison with existing models and experimental data from previous studies.
4：Experimental Procedures and Operational Workflow:
The methodology includes deriving expansion coefficients, applying a physical optics model near the source, and comparing results with direct integration of a Kirchhoff integral and previous studies.
5：Data Analysis Methods:
The analysis involves numerical evaluation of the sound field using superposition of Bessel beams and comparison with theoretical predictions and experimental data.
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