Acoustic radiation force on a compressible spheroid

Area of Science:

• Acoustics
• Wave physics
• Fluid dynamics

Background:

• Acoustic radiation force is crucial in acoustics and wave phenomena.
• Calculating this force on complex shapes like spheroids is challenging.
• Existing models often have limitations regarding object properties or incident fields.

Purpose of the Study:

• To develop a general method for calculating acoustic radiation force on compressible spheroids.
• To provide a theoretical framework applicable without restrictions on spheroid size, impedance, or incident field characteristics.
• To establish a foundation for extending the analysis to arbitrarily shaped objects.

Main Methods:

• Utilizing expansions of scattered fields in spherical and spheroidal wave functions.
• Analytically matching these expansions in the far field.
• Employing spheroidal wave expansions to satisfy boundary conditions and derive scattering coefficients.

Main Results:

• A generalized solution for acoustic radiation force on compressible spheroids is derived.
• The solution's form is analogous to that for elastic spheres, involving products of scattering coefficients.
• Explicit expressions are found for rigid or free surface spheroids, while compressible ones require numerical computation.

Conclusions:

• The developed method provides a comprehensive approach to acoustic radiation force on compressible spheroids.
• The theoretical framework is adaptable and can be extended to more complex geometries.
• This work advances the understanding of acoustic forces on non-spherical objects.