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Main Authors: Huang, Shuo, Pan, Hemin, Ahmed, Daniel, Baasch, Thierry
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.26989
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_version_ 1866911720240316416
author Huang, Shuo
Pan, Hemin
Ahmed, Daniel
Baasch, Thierry
author_facet Huang, Shuo
Pan, Hemin
Ahmed, Daniel
Baasch, Thierry
contents We develop a theory for the acoustic radiation force on a liquid particle in a 2D standing-wave field beyond the Rayleigh limit. The theory is valid for any frequency, includes the traveling-wave components due to the Rayleigh angle, and is thus applicable to a large class of surface acoustic wave applications. The analytical results are validated with respect to finite-element models. Using our analytical solution, we determine the parameter space for which Rayleigh-limit methods, such as the Gor'kov framework, remain applicable. This range is shown to depend on the particle properties, the Rayleigh angle, and even the particle position in the acoustic field. We propose a general form for the acoustophoretic contrast factor applicable to any wavelength of 1D standing-wave field, broadening the applicability of the classical Gor'kov framework. We show that the Rayleigh-angle effect can substantially weaken the acoustic radiation force, an effect that has been largely overlooked. We also confirm a frequency-dependent topological transition of the acoustic landscape that induces a switching of the field attractors and particle equilibrium points. These results advance the quantitative theory of acoustic forces, unveil previously unresolved dynamical features of acoustofluidic fields, and provide a theoretical foundation for SAW-based cell trapping, separation, and enrichment in acoustofluidics.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26989
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Acoustic radiation force on a liquid particle in a standing surface acoustic wave field
Huang, Shuo
Pan, Hemin
Ahmed, Daniel
Baasch, Thierry
Fluid Dynamics
We develop a theory for the acoustic radiation force on a liquid particle in a 2D standing-wave field beyond the Rayleigh limit. The theory is valid for any frequency, includes the traveling-wave components due to the Rayleigh angle, and is thus applicable to a large class of surface acoustic wave applications. The analytical results are validated with respect to finite-element models. Using our analytical solution, we determine the parameter space for which Rayleigh-limit methods, such as the Gor'kov framework, remain applicable. This range is shown to depend on the particle properties, the Rayleigh angle, and even the particle position in the acoustic field. We propose a general form for the acoustophoretic contrast factor applicable to any wavelength of 1D standing-wave field, broadening the applicability of the classical Gor'kov framework. We show that the Rayleigh-angle effect can substantially weaken the acoustic radiation force, an effect that has been largely overlooked. We also confirm a frequency-dependent topological transition of the acoustic landscape that induces a switching of the field attractors and particle equilibrium points. These results advance the quantitative theory of acoustic forces, unveil previously unresolved dynamical features of acoustofluidic fields, and provide a theoretical foundation for SAW-based cell trapping, separation, and enrichment in acoustofluidics.
title Acoustic radiation force on a liquid particle in a standing surface acoustic wave field
topic Fluid Dynamics
url https://arxiv.org/abs/2605.26989