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The analytical solution of the acoustic radiation force exerted by a beam of arbitrary shape on a small spheroidal rigid particle suspended in an ideal fluid is presented. The particle is assumed to be much smaller than the wavelength, i.e., the so-called long-wavelength approximation. Based on this theoretical development, closed-form expressions for the radiation force of a traveling and standing plane wave exerted on a prolate spheroidal particle are derived in the dipole approximation. As validation, the previous analytical result considering a standing wave interacting with a spheroid in axisymmetric configuration is recovered, as well as numerical results obtained with the boundary-element method.

Acoustic radiation force exerted on a small spheroidal rigid particle by a beam of arbitrary wavefront: Examples of traveling and standing plane waves