Acoustic radiation force expressed using complex phase shifts and momentum-transfer cross sections

Area of Science:

• Acoustics
• Quantum Mechanics
• Wave Scattering

Background:

• Acoustic radiation force is crucial in acoustics.
• Existing methods for calculating acoustic forces can be complex.
• Incorporating quantum mechanical principles offers new approaches.

Purpose of the Study:

• To develop a simplified and efficient formula for acoustic radiation force.
• To integrate concepts from quantum mechanics into acoustic scattering.
• To provide a new framework for exploring acoustic force parameter-space.

Main Methods:

• Expressing acoustic radiation force using complex phase shifts of partial wave scattering functions.
• Incorporating the momentum-transfer cross section from quantum mechanics.
• Developing a formula based on differences of real parts and sums of imaginary parts of phase shifts.

Main Results:

• A simplified formula for acoustic radiation force is derived.
• The formula efficiently explores the force parameter-space.
• Dissipation is represented by the imaginary parts of phase shifts.
• The force is proportional to a generalized momentum-transfer cross section for plane waves without dissipation.

Conclusions:

• The new formula offers an efficient method for calculating acoustic radiation force.
• The approach effectively links acoustic scattering with quantum mechanical concepts.
• This work provides a foundation for further research into acoustic radiation forces and energy dissipation.