Theory of dynamic acoustic radiation force experienced by solid cylinders

A body insonified by a sound field is known to experience a steady force that is called the acoustic radiation force. This force can also be dynamic or oscillatory, knowing that the intensity of the incident sound field changes over time (amplitude modulation). The present paper develops the theory of dynamic radiation force experienced by a solid cylinder immersed in an ideal fluid. Analytical solutions of the equations for the dynamic force are derived. The equations provide analytical radiation force dependencies on the acoustic field and medium parameters. The case of compressional and shear waves' absorption in the solid material of the cylinder is also discussed. It is shown here that radiation force is no longer static and cannot be treated as a steady-state phenomenon.