5This article introduces the design, construction and applications of planar resonant devices for particle and cell manipulation. These systems rely on the pistonic action of a piezoelectric layer to generate a one dimensional axial variation in acoustic pressure through a system of acoustically tuned layers. The resulting acoustic standing wave is dominated by planar variations in pressure causing particles to migrate to planar pressure nodes (or antinodes depending on particle and fluid properties). The consequences of 10 lateral variations in the fields are discussed, and rules for designing resonators with high energy density within the appropriate layer for a given drive voltage presented.
IntroductionThere is a need to manipulate micron-scale particles and cells in many areas of physics, analytical chemistry and the biosciences. Techniques such as filtration, centrifugation and sedimentation are well-established in macro-scale applications, but in microfluidic 15 systems the use of other approaches including optical, magnetic, dielectrophoretic and acoustic forces are of interest. Acoustic radiation forces, typically at ultrasonic frequencies in the hundreds of kHz to tens of MHz region, have wavelengths that are well matched to microfluidic channel scales, yet are capable of generating potential wells with significantly larger length scales. The technology is also relatively straightforward to integrate within microfluidic systems.
Acoustic radiation forces
20Acoustic radiation forces can be generated on particles by both travelling and standing acoustic fields. Those in standing wave fields (of primary interest in the applications considered here) are generated by the nonlinear interaction between the acoustic field scattered by the particle and the standing wave field itself. The time averaged radiation force () F r on a small (in comparison with a wavelength) spherical particle of volume V located at r within a stationary acoustic field was shown by Gor'kov 1 to relate to the gradients of the time averaged kinetic and potential energy densities ( kin E and pot E respectively) within the field:The kinetic energy density gradient (a function of the acoustic velocity field within the standing wave) is weighted by a function of the densities ( on them that tends to move them to the acoustic pressure node, and the acoustic velocity antinode. In a planar resonator these are colocated.
Generating the required acoustic fieldMany approaches to generating the required acoustic wave field have been reported in the literature. These include the use of near-field effects 2 or focussed ultrasound 3, 4 to trap particles and cells, the excitation of lateral standing waves in which the predominant energy 35 gradients run parallel to the face of the excitation transducer 5,6 , and the generation of cylindrical resonances to focus 7 or arrange