Theory of the acoustic radiation force exerted on a sphere by standing and quasistanding zero-order Bessel beam tweezers of variable half-cone angles

F. G. Mitri (1) , Zine El Abiddine Fellah (2) , Non Renseigné

1 Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine
2 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

A rigorous theory is developed to predict the radiation force (RF) exerted on a sphere immersed in an ideal fluid by a standing or quasistanding zero-order Bessel beam of different half-cone angles. A standing or a quasistanding acoustic field is the result of counter propagating 2 equal or unequal amplitude zero-order Bessel beams, respectively, along the same axis. Each Bessel beam is characterized by its half-cone angle βℓ;ℓ = 1, 2 of its plane wave components, such that βℓ = 0 represents a plane wave. Analytical expressions of RF are derived for a homogeneous viscoelastic sphere chosen as an example. RF calculations for a polyethylene sphere immersed in water are performed. Particularly, the half-cone angle dependency on the RF is analyzed for standing and quasistanding waves. Changing the half-cone angle is equivalent to changing the beamwidth. Potential applications include particle manipulation in microfluidic lab-on-chips as well as in reduced gravity environments.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

F. G. Mitri, Zine El Abiddine Fellah, Non Renseigné. Theory of the acoustic radiation force exerted on a sphere by standing and quasistanding zero-order Bessel beam tweezers of variable half-cone angles. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2008, 55 (11), pp.2469-2478. ⟨10.1109/TUFFC.954⟩. ⟨hal-00460792⟩