Acoustic tweezers

Abstract

Electroacoustic device having a transducer including a piezoelectric substrate, first and second electrodes of inverse polarity having respective first and second tracks provided on said substrate, the first and second tracks spiraling around a same center (C), the transducer being configured for generating a swirling ultrasonic surface wave in the substrate.

Claims

1. An electroacoustic device comprising a transducer comprising a piezoelectric substrate, first and second electrodes of inverse polarity comprising respective first and second tracks provided on said substrate, the first and second tracks spiraling around a same center, the transducer being configured for generating a swirling ultrasonic surface wave in the substrate, wherein each of the first and second tracks spirals along a line defined by the equation $R\left(\Theta \right)=\frac{{\phi }_0-\omega {\mu }_0\left(\Theta \right)+\alpha \left(\stackrel{\_}{\psi }\left(\Theta \right)\right)-\frac{\pi }{4}\mathrm{sgn}\left(h^{″}\left(\stackrel{\_}{\psi }\left(\Theta \right),\Theta \right)\right)-l\Theta }{\omega s_r\left(\stackrel{\_}{\psi }\left(\Theta \right)\right)\cos \left(\stackrel{\_}{\psi }\left(\Theta \right)-\Theta \right)}$ wherein: R(θ) is the polar coordinate of the line with respect with the azimuthal angle θ, φ.sub.0 is a free parameter, l is the vortex order of a swirling SAW of pulsation ω, l being an integer such that |l|≥1. μ.sub.0(θ) is given by: ${\mu }_0\left(\Theta \right)=\underset{i=1}{\overset{n}{.Math.}}{s}_z^{\left(i\right)}\left(\Theta \right)\left(z_i-z_{i-1}\right)$ where z.sub.i−z.sub.i-1 is the distance between two successive interfaces separating materials stacked onto the substrate, z.sub.0 being the height of the interface between the substrate and the layer contacting the substrate, μ.sub.0(θ)=0 in case of the absence of stacked layers $h^{″}\left(\stackrel{\_}{\psi }\right)\mathrm{is}\frac{{\partial }^2}{\partial {\psi }^2}\left[s_r\left(\psi \right)\cos \left(\psi -\Theta \right)\right]\mathrm{evaluated}\mathrm{at}\psi =\stackrel{\_}{\psi }$ where ψ depends on Θ as follows: $\stackrel{\_}{\psi }\left(\Theta \right)=\Theta +\mathrm{atan}2\left(\frac{s_r^{\prime }\left(\Theta \right)}{\sqrt{s_r^{\prime 2}\left(\Theta \right)+s_r^2\left(\Theta \right)}},\frac{s_r\left(\Theta \right)}{\sqrt{s_r^{\prime 2}\left(\Theta \right)+s_r^2\left(\Theta \right)}}\right)$ s.sub.r(ψ) is the wave slowness on the surface plane of the substrate in the direction of propagation ψ, and s.sub.z(ψ) is the wave slowness in the out of plane direction, a wave slowness in a direction i being r or z being computed from the wavenumber k.sub.i as s.sub.r(ψ)=k.sub.r(ψ)/ω: and s.sub.z(ψ)=k.sub.z(ψ)/ω s.sub.r′(ψ) is the derivative of s.sub.r(ψ) in respect to the direction of propagation, α(ψ) is the phase of the vertical motion of the wave propagating in direction ψ versus the associated electric field.

2. The electroacoustic device according to claim 1, wherein the radial step (Δ), between adjacent first and second tracks is comprised between 0.48λ and 0.52λ, λ being the fundamental wavelength of the swirling ultrasonic surface wave.

3. The electroacoustic device according to claim 1, wherein each of the first and second tracks runs along at least one revolution.

4. The electroacoustic device according to claim 1, wherein the first and second electrodes comprise a plurality of respective first and second tracks and/or the transducer is interdigitated.

5. The electroacoustic device according to claim 1, comprising first and second transducers configured for generating first and second swirling ultrasonic surface waves of different fundamental wavelengths in the substrate, the first and second tracks of each of the first and second transducers spiraling around a same center.

6. The electroacoustic device according to claim 1, further comprising a support overlapping the transducer and the substrate, the support and the substrate being acoustically coupled such that a swirling ultrasonic surface wave generated in the substrate is transmitted to the support and propagates as an acoustical vortex or a degenerated acoustical vortex in the bulk of the support.

7. The electroacoustic device according to claim 1, comprising a base, on which the substrate is disposed.

8. The electroacoustic device according to claim 7, wherein the base is part of an objective of a microscope or is part of a device configured to be fixed to an objective of a microscope.

9. The electroacoustic device according to claim 1, comprising a visual marking located in the central zone of the transducer.

10. The electroacoustic device according to claim 1, further comprising first and second transducers, the first and second transducers being mobile between a first arrangment and a second arrangement, the location of the center of the first transducer in the first arrangement of the device corresponding to the location of the center of the second transducer in the second arrangement of the device.

11. The electroacoustic device according to claim 1, wherein a set consisting in the first and second electrodes surrounds entirely the center and define a central zone.

12. The electroacoustic device according to claim 1, the first track and/or the second track extend(s) over more than 90° around the center.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) The invention may be better understood from a reading of the detailed description that follows, with reference to exemplary and non-limiting embodiments thereof, and by the examination of the appended drawing, in which:

(2) FIG. 1 illustrates the phase and amplitude of a 2D swirling SAW,

(3) FIGS. 2 to 4 and 9 to 11 illustrate embodiments of an electroacoustic device according to the first aspect of the invention,

(4) FIG. 5 represents the amplitude of the vertical transverse displacement of a plane front wave in an anisotropic substrate depending on the propagation direction,

(5) FIG. 6 represents the Rayleigh velocity of a plane front wave in an anisotropic substrate depending on the propagation direction at the interface with different media,

(6) FIG. 7 is a 2D graph of the curve of φ.sub.0−ωμ.sub.0−1θ,

(7) FIG. 8 is a 2D graph of the curve R(θ) used for defining the tracks of the electroacoustic device of FIG. 9,

(8) FIGS. 12 and 14 represent electroacoustic devices according to the second aspect of the invention, and FIGS. 13 and 15 are respective magnified views of interdigitated portions of the transducers of FIGS. 12 and 14,

(9) FIG. 16 is a scheme illustrating the method of configuring the electroacoustic device,

(10) FIG. 17 illustrates measured and corresponding theoretical predicted phase and amplitude of a swirling SAW generated with an electroacoustic device according to some embodiment of the invention,

(11) FIGS. 18 to 23 show two variants of electroacoustic devices according to some embodiments of the invention,

(12) FIGS. 24 to 28 are pictures showing different objects manipulations, and

(13) FIG. 29 is a mask for fabrication by photolithography of an electroacoustic device.

(14) In the drawing, the respective proportions and sizes of the different elements are not always respected for sake of clarity.

DESCRIPTION OF SOME EMBODIMENTS

(15) FIG. 2 illustrates an electroacoustic device 25 according to the first aspect of the invention, comprising a substrate 30 and first 35 and second 40 electrodes of a transducer 43 disposed on the substrate. The first and second electrodes comprise respective first 45 and second 50 tracks which both spiral around a same center C.

(16) The first and second tracks extend both over angles Ω.sub.1 and Ω.sub.2 greater than 270° around the center, but over different angular sectors. The angles Ω.sub.1 and Ω.sub.2 may be equal or different.

(17) The first and second electrodes comprise respective first 55 and second 60 terminals for being connected to an electrical power supply 65. The first and second tracks are connected to said respective terminals.

(18) The terminals can be made of the same material as the electrodes and during a same deposition process. As an alternative, they can be made of different materials.

(19) The set consisting of the first and second tracks entirely surround a central 70 zone comprising the center C, as shown in FIG. 1. Thus, elementary SAWs are emitted by almost every angular section covered by the first and second tracks, interfering to generate a swirling SAW in the central zone.

(20) The zone where the dark spot of the swirling SAW develops comprises the center C.

(21) FIG. 3 illustrates an alternative embodiment which differs from the one illustrated in FIG. 2 in that the first and second tracks run along more than two revolutions around the spirals.

(22) Increasing the number of revolutions results in an increase of the acoustic power of the swirling SAW.

(23) The fundamental wavelength λ of the swirling SAW is determined by the distance between two successive first and second electrodes. As shown in FIG. 4, the radial step Δ between two consecutive first and second tracks is preferably equal to λ/2.

(24) In the electroacoustic devices illustrated in FIGS. 2 and 3, the spiral is an Archimedes spiral, which is preferable in case the substrate is made of a material which is isotropic as regard to SAW acoustic waves.

(25) As it will appear hereunder, other shapes of the electrode tracks are adapted for propagating SAWs in anisotropic substrates.

(26) Throughout the whole description, and unless stipulated otherwise, the terms “isotropy” and “anisotropy” respectively refer to isotropy and anisotropy with regard to the propagation of a SAW in any material.

(27) In an anisotropic material, the generation of a swirling SAW is complex, since one has to deal notably with direction-dependent wave velocity, coupling coefficient and beam stirring angle. This can modify the way SAW propagating in different directions interfere.

(28) In an anisotropic substrate, the wavelength of a SAW, its velocity and amplitude may depend on the direction along which the SAW propagates.

(29) Furthermore, in case a material such as a support is stacked onto the substrate and is acoustically coupled with it, the swirling SAW can be transmitted in the bulk of support, but the SAW degenerates at the interface between the substrate and the support in an acoustic vortex or in a pseudo acoustic vortex propagating in the bulk of the support. The shape of the SAW, i.e. notably its phase and amplitude in different substrate directions, is also modified by any isotropy mismatch between the support and the substrate. The substrate may be made of an anisotropic material and the support of an isotropic material.

(30) Preferably, each of the first and second tracks spirals along a line defined by the equation (1):

(31) $R\left(\Theta \right)=\frac{{\phi }_0-\omega {\mu }_0\left(\Theta \right)+\alpha \left(\stackrel{\_}{\psi }\left(\Theta \right)\right)-\frac{\pi }{4}\mathrm{sgn}\left(h^{″}\left(\stackrel{\_}{\psi }\left(\Theta \right),\Theta \right)\right)-l\Theta }{\omega s_r\left(\stackrel{\_}{\psi }\left(\Theta \right)\right)\cos \left(\stackrel{\_}{\psi }\left(\Theta \right)-\Theta \right)}$
where: R(θ) is the polar distance coordinate of the line with respect to the azimuthal angle θ. In other words it is a distance of the spiral along a revolution at an angle θ and the center of the spiral; φ.sub.0 is a parameter freely chosen to determine the center of the spiral; l is the vortex order of a swirling SAW of pulsation ω, l being an integer such that |l|≥1. ω=2πf is the fundamental angular frequency and f is the fundamental frequency of the swirling SAW; α(Θ) is the phase of the coupling coefficient of the piezoelectric material constitutive of the substrate; for instance, pure Rayleigh waves have a phase of 0, and pure Gulyaev waves have a phase of π. h(ψ, Θ)=s.sub.r(ψ)cos(ψ−Θ) where s.sub.r(ψ) is the phase slowness of the swirling wave and is defined by s.sub.r(ψ)=k.sub.r(ψ)/ω, k.sub.r(ψ) being the norm of the radial component of the wave vector at angle Θ; the sign ′ denotes derivation on variable ψ; function ψ(Θ) is defined by the equation

(32) $\stackrel{\_}{\psi }\left(\Theta \right)=\Theta +\mathrm{atan}2\left(\frac{s_r^{\prime }\left(\Theta \right)}{\sqrt{s_r^{\prime 2}\left(\Theta \right)+s_r^2\left(\Theta \right)}},\frac{s_r\left(\Theta \right)}{\sqrt{s_r^{\prime 2}\left(\Theta \right)+s_r^2\left(\Theta \right)}}\right);$
and the correction term μ.sub.0 corrects the swirl degeneration in the bulk of a stacking of a least one material acoustically coupled with the substrate, when the swirling SAW is transmitted from the substrate to the bulk of said material to propagate as an acoustic vortex or a pseudo acoustic vortex; in order to synthesize the precursor wave that will degenerate into a swirling SAW at the desired height z.sub.n:

(33) ${\mu }_0\left(\Theta \right)=\underset{i=1}{\overset{n}{.Math.}}{s}_z^{\left(i\right)}\left(\Theta \right)\left(z_i-z_{i-1}\right)$ wherein s.sub.z.sup.(i)(Θ)=√{square root over (s.sup.(i).sup.2(Θ)−s.sub.r.sup.2(Θ))} is the phase slowness of the waves in each material (i) of the stacking,

(34) $s^{\left(i\right)}\left(\Theta \right)=\frac{1}{c^{\left(i\right)}\left(\Theta \right)}$  being the phase slowness in the material (i) of the stacking, c.sup.(i)(Θ) being the wave celerity in the material at angle Θ, and z.sub.i−z.sub.i-1 is the distance between two successive interfaces separating materials stacked onto the substrate, z.sub.0 being the height of the interface between the substrate and the layer contacting the substrate, and z.sub.0 being the height of the surface of the substrate wherein the swirling SAW is generated. When no material is coupled with the substrate then μ.sub.0(Θ)=0.

(35) The position of a positive electrode track is defined by selecting the angle φ.sub.0 in equation (1) and the position of the negative electrode track is then defined by the same equation (1) replacing φ.sub.0 by φ.sub.0=φ.sub.0+π.

(36) As it appears clearly in equation (1), although the pattern of a line around which a track spirals can be adapted to a broad range of substrate material and if appropriate to any support material stacked onto the substrate, it is nevertheless specific to a single set of actuation frequency of the device, material properties and thicknesses.

(37) In particular, the pattern shape relies on the frequency of the SAW propagating in the substrate. In case material(s) are stacked onto the substrate so that a swirling SAW is transmitted and propagates in the volume of these material(s) as an acoustic vortex or a pseudo acoustic vortex, the pattern shape also depends on the velocities of the shear and longitudinal bulk acoustic waves in this (these) medium (media).

(38) As shown in FIG. 5, the amplitude 80 of a plane front SAW in an anisotropic substrate, for instance in a X-cut lithium niobiate substrate is dependent on the angle ψ of propagation of the wave in the substrate. The substrate anisotropy therefore affects the wave propagation.

(39) Furthermore, as shown by FIG. 6, the Rayleigh velocity of a plane front SAW at the surface substrate also depends on the direction of propagation of the wave. This dependence is observed whether the substrate surface is free and contacts air (curve 85) or a support, for instance a 2 mm thick polymethylmethacrylate (PMMA) plate (curve 90) or even a gold coating (curve 95) is disposed onto said substrate.

(40) FIG. 7 is a graph representing the correction term φ.sub.0−ωμ.sub.0(Θ)−lΘ for different values of angle Θ, as indicated along the periphery of the graph. It is required for a swirling SAW swirls in an anisotropic X-cut lithium niobiate substrate and be transmitted and propagates in a 2 mm thick PMMA plate support acoustically coupled to the substrate. Values 50, 100 and 150 along a direction at Θ=70° on the graph indicate, expressed in radians, of the correction term φ.sub.0−ωμ.sub.0(Θ)−lΘ.

(41) FIG. 8 shows the trajectory of a line R(θ), expressed in mm, computed from equation (1) for a first order anisotropic swirl (l=1), and for an anisotropic X-cut lithium niobiate substrate. Angles expressed in degrees are regularly indicated at the periphery of the drawing. The graph of the line R(θ) takes into account the evolution of the correction term μ.sub.0(Θ), the amplitude and Rayleigh velocity as illustrated on FIGS. 5 to 7. In FIG. 8, one observes at θ=45° a steep transition due to a phase change for the first order swirling SAW.

(42) FIG. 9 illustrates an electroacoustic device 25 comprising a transducer 105 having first 35 and second 40 electrodes provided on a substrate 30 and comprising a plurality of respective first 45 positive and second 50 negative tracks. The tracks are provided on the X-cut lithium niobiate substrate following equation (1) described here above. The positive tracks are obtained considering an angle φ.sub.0 in equation (1) and the negative tracks are obtained by replace φ.sub.0 in equation (1) φ′.sub.0=φ.sub.0+π.

(43) Thus, the first and second tracks comprise the same center and are distant along a radial direction D.sub.R by a radial step equal to λ/2.

(44) As it can be observed, the transducer is interdigitated. The first and second tracks are imbricated the ones with the others.

(45) The electrodes comprise first 55 and second 60 power terminals having the shape of straight lines, which are respectively electrically connected to each of the first and second tracks.

(46) For instance, the design of the tracks of the device of FIG. 9 following equation (1) is adapted to generate a swirling acoustic wave in the substrate, and to propagate an acoustic vortex of wavelength equal to 10 MHz in a 2 mm thick support made of PMMA provided on top of the transducer, and coupled by a layer of silicon oil of a few microns height sandwiched in between the substrate and the support. The silicon oil layer achieves a coupling between the substrate and the support while it does not affect substantially the propagation of the acoustic wave since its thickness is much smaller than the acoustic wavelength.

(47) The device according to the invention can be such that a set consisting in several tracks of the first electrode, in particular two tracks 110a,110b as illustrated in FIG. 9, running along a single first spiral winding, and/or several tracks of the second electrode, in particular two tracks 115a, 115b as illustrated in FIG. 9, running along a single second spiral winding, surrounds entirely the center.

(48) In addition, two adjacent first 110b, 120, respectively second 115a,125 tracks can run along two consecutive winding of the first, respectively second spiral.

(49) Furthermore, the first and/or the second power terminals and the plurality of first and/or second tracks of the device of FIG. 9 are arranged such that the first, respectively second electrode track, when observed along a direction normal to the substrate has a shape of a fork.

(50) A transducer as illustrated in FIG. 9 can be manufactured according to the following method. A X-cut lithium 1 mm thick niobate substrate is polished and cleaned, for instance with acetone-isopropyl-ethanol, and then dried for 1 minute at 100° C. A layer of primer, and then of AZ1512HS resin are deposited by centrifugation at 4000 rpm on a substrate face and is annealed at 100° C. for 1 minute. A mask being the positive of the pattern of the electrodes of the transducer is apposed on the resin. FIG. 29 illustrates a mask 126 for preparing an electroacoustic device comprising a plurality of transducers as it will be described latter. The primer is then exposed to an UV radiation. The substrate is then placed in an evaporator in order to deposit a 50 nm thick chromium layer, followed by deposition of a 200 nm gold layer.

(51) The substrate is then dipped into a bath of acetone submitted to ultrasound emission at 80 kHz at a temperature of 45° C. for 10 minutes.

(52) FIG. 10 represents an electroacoustic device comprising first 130 and second 140 transducers configured for generating first and second swirling ultrasonic surface waves of different wavelengths in the substrate, the first and second tracks of each of the first and second transducers spiraling around a same center C. The first and second transducers share the same substrate 30.

(53) The first transducer which is intended for operating at a lower frequency than the second one, surrounds the second transducer.

(54) This specific configuration of the transducers results in a compact electroacoustic device.

(55) The substrate is the same and is oriented in the same direction as the one of embodiment of FIG. 9.

(56) The tracks of the first and second transducers are provided on the substrate both following respective lines of equation (1) as described here above. The parameters of equation (1) are chosen such that the first and second transducers generate a swirling SAW in the substrate at respective fundamental frequencies of 10 MHz and 30 MHz, swirling around an axis passing through center C and perpendicular to the substrate, with respective first and second opposite spins.

(57) First and second opposite spins are obtained by choosing respective appropriate swirl orders 1 of respective values +1 and −1 in equation (1).

(58) The device illustrated in FIG. 10 is particularly well suited for any application where the torque induced by the swirling SAW in the object to be manipulated has to be controlled.

(59) In particular, the track pattern of the electrodes is configured for an acoustic vortex or a pseudo acoustic vortex to be transmitted by the substrate and propagates into a 150 μm thick borosilicate glass slice acoustically coupled with the substrate.

(60) FIG. 11 illustrates an electroacoustic device 25 comprising a transducer comprising two sets 145, 150 of first and second electrodes. The substrate 30 is the same as in examples of FIGS. 8 and 9.

(61) The first set 145 comprises first and second electrodes labeled 146 and 148 and the second set 150 comprises first and second electrodes labeled 152 and 154. Each of the first and second electrodes comprise first and second pluralities of tracks which follow a line of general equation 1. This electroacoustic device takes advantage that the order of the swirl is proportional to the frequency of the electrical input signal. The first, respectively the second plurality of tracks spirals along a line which equation is computed considering a swirl order l equal to 1, respectively equal to 3.

(62) Thus the transducer of the electroacoustic device illustrated in FIG. 11 is adapted to generate signals operating at two fundamental frequencies of 10 MHz and 30 MHz respectively.

(63) In particular, the electroacoustic device is such that two consecutive first tracks along a radial direction are alternate in the radial direction with two consecutive second tracks of the second electrode.

(64) The device illustrated in FIG. 11 is notably well adapted for generating a steady like current around the transducer center which makes it possible to mix fluids or manipulate very small particles that would not be trapped by a swirling SAW having only a single fundamental frequency.

(65) FIG. 12 represents an electroacoustic device 160 according to the second aspect of the invention.

(66) It comprises a substrate 170, preferably an anisotropic X-cut lithium niobiate crystal, having a central zone 175 which perimeter is delimited by a circle 180 (illustrated in dash line on FIG. 12). Interdigitated portions of thirty two unidirectional transducers 185.sub.1 and 185.sub.2 (only two of them being labeled), preferably SPUDT interdigitated transducers, are provided onto the substrate around the central zone 175. The interdigitated portions 187.sub.1, 187.sub.2 are regularly spaced along the circular perimeter of the central zone. The number of transducers is not limited to thirty two. It is however preferred to be at least four. A highest number is preferred, since it provides a more uniform spatial coverage of the central zone and enables a better synthesis of the targeted wavefield. A high number of surface waves interfering improve the generation of a swirling SAW.

(67) As shown in FIG. 13, each interdigitated portion 187 is composed of interdigitated first and second tracks of respective first 190 and second 195 electrodes of inverse polarity. At least one track of each interdigitated portion is tangent to the circular perimeter. Furthermore, as shown in FIG. 13, the first and second tracks are parallel the ones with the others. The width of the first and second tracks may be different or equal.

(68) Each transducer further comprise first 200 and second 205 electrodes which comprise the tracks or the interdigitated portions as described hereabove to which are connected respective first 210 and second 220 power terminals. The first and second electrodes of each transducer are electrically connected via the power terminals to a controller 225. In the drawing, for sake of clarity, only two sets of electrodes are shown as being connected but in practice, all the thirty two transducers are.

(69) In the embodiment of FIG. 12, the central zone is covered by a gold layer 230 which is intended to serve as a mirror for measuring the amplitude and phase of the swirling SAW in the central zone with a Michelson interferometer.

(70) In the electrical device of FIG. 12, every transducer is configured for generating a standing SAW which propagates through the substrate, at a frequency that is of 12 MHz. The SAWs emitted by the thirty-two transducers interfere in the central zone. As it will be more apparent hereafter, the controller is configured to control each of the transducers such that the interference of the SAW generates a SAW swirling in the central zone.

(71) FIG. 14 represents a variant of the electroacoustic device 170 of FIG. 12. It differs notably from the latter in that the perimeter 180 of the central zone 175 is not a circle but follows a line homothetic to the wave surface of a SAW of planar front propagating in the substrate.

(72) The embodiment of FIG. 14 differs also from the one of FIG. 12 in that the first and second tracks are curved, as shown in FIG. 15. The curving of the tracks promote wave diffraction, especially in an anisotropic substrate. This improves the illumination by each transducer of the central zone of the substrate, which has for example a radius of 5 mm. This improvement allows to achieve a synthesis of a wide variety of acoustic wave fields, such as focalized SAW, plane propagating SAW and notably of swirling SAW.

(73) The specific curving of the tracks is performed following the teaching of the article “Subwavelength focusing of surface acoustic waves generated by an annular interdigital transducer”, Laude et al., Applied Physics Letters 92, 094104 (2008).

(74) The controller 225 of the device according to some embodiment of the invention is configured to control each of the transducers such that the emitted SAWs interfere in the central zone to generate a swirling SAW therein.

(75) In particular, the controller powers each transducer by sending to it an electrical input signal. Preferably, the controller comprises a storing unit wherein parameters of input signals to be sent to each transducer are stored. Preferably, the input signal is an AC electrical signal, and the parameters are the maximum intensity and phase of the input signal.

(76) Preferably, a method for configuring is implemented before the first use of the electroacoustic device, for instance such as shown on FIGS. 12 and 14.

(77) This method for configuring, also named “inverse filter method”, is illustrated on FIG. 16.

(78) An electrical signal 230 e.sub.i(t), preferably an impulse signal, is sent by the controller to a single transducer 235 i among the set of transducers surrounding the central zone. The transducer converts this electrical input signal into a SAW which propagates into the central zone 175. The controller is configured such that the electrical circuits relying the other transducers to the controller are opened. Thus no input signal is sent from the controller to the other transducers.

(79) The SAW emitted by transducer i in the substrate s.sub.j(t) is measured at each several control points j located in the central zone. Preferably, the number of control points 240.sub.1,240.sub.2 is at least 2, even preferably at least 4, even preferably at least 10, even preferably at least 100, even preferably at least 200. As an illustration, 400 control points can be distributed on a surface of 1×1 cm.sup.2. Preferably the distance between two control points is less than λ/2, λ being the wavelength of the standing SAW emitted by transducer i. Preferably, the control points are regularly distributed in the central zone.

(80) The amplitudes and phases of the SAW s.sub.j(t) at all points j are preferably measured with a Michelson interferometer 245, whose one arm can be focalized on any control point j. In case the substrate is made of lithium niobiate, it is preferred to cover the central zone with a gold layer which serves as a mirror to reflect the beams and improve the quality of the measurements.

(81) After the input signal has been emitted, the controller switches off the transducer i and sends an input signal e.sub.k(t) to transducer 250 k. The SAW s.sub.j(t) are then measured at control points j.

(82) The input signals e.sub.i(t) of all successively powered transducers i and the SAWs s.sub.j(t) can be stored in a storing unit 255.

(83) The input signals e.sub.i(t) and measured amplitude and phase of the SAWs s.sub.j(t) can be related by the relationship
s.sub.j=Σ.sub.ih.sub.ij*e.sub.j,

(84) where * refers to the convolution product and h.sub.ij is the time response at control point j to an input signal e.sub.i emitted by transducer i. In the spectral domain, H.sub.ij=(h.sub.ij) is the Fourier transform of the transfer function at control point j of transducer i.

(85) Using a matrix formalism, where E and S are vectors comprising the respective Fourier transforms E.sub.i and S.sub.j of signals. e.sub.i(t) and s.sub.j(t), and H is the matrix form of operator H.sub.ij, the linear following relationship is obtained:
S=H.Math.E

(86) Then, using well known classical pseudo matrix inversion techniques, a vector E′ can be computed 260 for obtaining a vector S′ corresponding to the Fourier transform of a Fourier swirling SAW at all control points j.

(87) Finally, each component of the vector E′, which corresponds to the Fourier transform of the input signal e′.sub.i(t) to be emitted by each transducer i to generate a swirling saw can be obtained by inverse Fourier transform 265.

(88) Once the method for configuring is completed, the controller is then configured for powering jointly several, preferably all the transducers, and for sending every transducer an output signal e′(t) 270. Each input signal has preferably its own features, such as specific phase and/or amplitude which are different between at least two emitting transducers. The interference in the central zone of the SAWs emitted by each of the transducers thus generates a swirling SAW in the central zone of the substrate.

(89) FIG. 17 illustrates the amplitude 275.sub.1 and phase 280.sub.1 of a first order Bessel wave swirling SAW generated with the electroacoustic device of FIG. 12, which has been set by the method for configuring according to the invention. The amplitude and phase have been measured with a Michelson interferometer.

(90) A dark spot 285 of 50 μm size is visible at the center of the swirl and matches with a phase singularity. The dark spot is contrasted by bright concentric rings. The theoretical amplitude 275.sub.2 and phase 280.sub.2 are also represented for comparison. A correct matching between theoretical and experimental swirls is achieved on both the amplitude and phase.

(91) FIG. 18 illustrates an electrical device 300 according to some embodiment of the invention, comprising a support 305 overlapping the substrate 310. The support can overlap the electrodes 315 or it can only overlap the central zone 320.

(92) Furthermore, the support can be removable from the electroacoustic device.

(93) The tracks of the transducer can be located in between the substrate and the support.

(94) The support is preferably chosen among a glass and a polymer, preferably a thermoplastic, most preferably polymethylmethacrylate (PMMA). Preferably, the support is made of material comprising glass.

(95) Preferably, the material of the support is isotropic. Preferably, it is not piezoelectric.

(96) In order to protect the tracks from friction by the support and prevent from damage, the transducer is at least partially, preferably totally covered by a protective coating 325, preferably comprising silica. Preferably, the protective coating thickness is less than λ/20, λ being the fundamental wavelength of the swirling SAW. Thus, the transmission of the swirling SAW unaffected by the protective coating.

(97) Preferably, for optimum transmission of acoustic waves, a coupling fluid layer 330, preferably made of a silicon oil, is sandwiched in between the support and the substrate. Preferably, the thickness of the coupling fluid layer is less than λ/20, λ being the fundamental wavelength of the swirling SAW. Thus, the transmission of the swirling SAW is unaffected by the coupling fluid layer. Silicon oil is preferred since it has a low dielectric constant and since it does not molder. Furthermore, the coupling fluid allows easy displacement of the support relative to the substrate.

(98) Electric brushes 335 are in contact with the electrodes for supplying power to the transducer.

(99) As illustrated, the electroacoustic device can also comprise a cover 340 provided onto the support, and comprising a groove 345 defining a chamber, preferably made of PDMS, for instance having the shape of a microchannel configured for housing a liquid medium comprising an object 350 to be manipulated.

(100) Preferably, in the embodiment of FIG. 18, the swirling SAW is a generalized Rayleigh wave. Preferably, the thickness of the substrate is greater than 10λ, λ being the fundamental wavelength of the swirling SAW.

(101) As described previously, the pattern of the tracks of the electrodes can be designed such that the swirling SAW generated at the surface of the substrate be transmitted and swirls 360 as an acoustic vortex or a pseudo acoustic vortex in the support up to reach the liquid medium and the object.

(102) Preferably, in case the support is made of an isotropic material, the pattern of electrodes is such that the degeneration of the swirling SAW generated by the transducer at the interface between the substrate and the support achieves an acoustic vortex or a pseudo acoustic vortex with an associated radiation pressure which concentrates in a volume represented as a square 365 located perpendicularly to the substrate and overlapping over the center of the central zone of the transducer. An object located in the vicinity of said volume and having a size comparable to the wavelength of the swirling SAW, also named “3D trap” is submitted to attraction forces which aims at entrapping said object in the volume. Notably, any displacement in the trap is limited, in all the three space dimensions.

(103) In a variant represented in FIG. 19, the tracks of the electrodes can be disposed on a face 370 of the substrate which is opposite to the face 375 facing the support. Preferably, in the embodiment of FIG. 19, the swirling wave is either a Lamb wave or a bulk wave.

(104) In case it is a Lamb wave, the thickness if the substrate is lower than λ/2, λ being the fundamental wavelength of the swirling SAW. This solution requires thinner substrates as the frequency increases.

(105) Notably when the Lamb frequency would yield too thin a substrate, for instance of thickness of less than 200 μm, the pseudo acoustic vortex can be directly generated in a thicker substrate. It can be either a bulk longitudinal wave pseudo acoustic vortex or a bulk shear wave acoustic vortex radiating in the thickness of the substrate at a fixed angle. The step between first and second tracks can be selected in order to match with the projection of the wavelength.

(106) Advantageously, in the embodiment of FIG. 19, the transducers are protected from any damage by the support are from any pollution caused by the coupling fluid. Furthermore, the face of the substrate which is contact with the support can be easily cleaned without any risk of damaging the electrodes, when the support is removed from the substrate. A device having tracks provided on the face opposite to the support as in FIG. 19 can comprise a high conductive coupling fluid of a high dielectric constant coupling fluid, such as a water based gel, without the coupling fluid influencing negatively the swirling SAW generation and propagation.

(107) Furthermore, the electrical connections, such as contact brushes can be provided on the same side as the tracks, which simplifies the manufacturing of the device, and makes it more ergonomic to the user.

(108) FIG. 20 describes a variant of the electroacoustic device 380 according to the first aspect of the invention which comprises a substrate 385, which is disk shaped of center C.sub.D. The substrate comprises a plurality of electrode patterns 390.sub.1, 390.sub.2 provided on the substrate defining a plurality of transducers 395.sub.1, 395.sub.2. Preferably, as illustrated, the transducers are regularly provided around the center of the disk.

(109) The electroacoustic device further comprises a support 400 which is preferably non opaque, and more preferably transparent. The support partially overlap the substrate. The support and the transducers are provided such that in at least one position of the device, at least one of the transducer is entirely overlapped by the support. Preferably, as illustrated in FIG. 18, the tracks are provided on the face of the substrate that is intended to face the support.

(110) A cover 403 is disposed on the support.

(111) The substrate is provided rotatable around an axis X.sub.D passing through the center C.sub.D of the disk. In particular, the electroacoustic device is configured such that, by rotating the substrate around axis X.sub.D, each transducer among the plurality of transducer can be positioned such as to be overlapped by the support and, notably by an object to be manipulated provided on the support.

(112) Moreover, as illustrated, the electroacoustic device can comprise a micro-manipulator 405, connected to the support, which allows for a precise positioning by translation of the support relative to a transducer, preferably along two perpendicular axes preferably parallel to the substrate. The micro-manipulator can be fixed to an optical device such as a microscope.

(113) Furthermore, the electroacoustic device comprises outer 410 and inner 415 contact brushes for electrically powering the electrodes. It can also comprise a power supply device 420 to which the contact brushes can be electrically connected. Preferably, the ends 425, 430 of the contact brushes intended for contacting the electrodes can be fixed with regard to the substrate. In particular, they can be provided at a constant polar coordinate relative to center of the substrate.

(114) Each electrode of the plurality comprises a first 435.sub.1, 435.sub.2 and second 440.sub.1, 440.sub.2 power terminal. All the power terminals of the electrodes of a same polarity are preferably provided radially on a same side of each transducer. As illustrated in FIG. 20, the power terminals of the respective first and second electrodes of the transducers are respectively radially outside and inside of the tracks of the electrode. In addition, all power terminals of the first electrodes are electrically connected to a common power track 450, which extends, preferably around a circle, at the periphery of the substrate.

(115) The outer contact brushes are preferably in contact with the external track. By the way, when the user of the device rotates the substrate such as to place a specific transducer such as it faces the support, the electrical contact between the first electrode and the outer contact brush of said transducer is achieved with no move of the outer contact brush.

(116) Preferably, each of the second power terminals of one of the transducers is provided such that, when the substrate is rotated around the axis X.sub.D in order that the transducer faces the support, the second power terminals is in electrical contact with the inner contact brush.

(117) Advantageously, the electroacoustic device illustrated in FIG. 20 requires a single power supply device and a single contact brushes pair to successively power each transducer. It does not require any complex control system with expensive electronic devices and is therefore cheaper than electroacoustic devices of the prior art. In addition, as described here above, manufacturing of the electrical device comprising several transducers can be performed by photolithography which is substantially inexpensive, for instance with the mask 126 as illustrated in FIG. 29.

(118) Furthermore, the device is easy to use, since the user can select any transducer of the device by a simple rotation operation. Besides, as it can be observed on FIG. 20, each transducer is visible by the user which facilitates its initial positioning prior to manipulation of an object.

(119) As a matter of illustration, FIG. 21 shows an electroacoustic device 460 which differs from the one of FIG. 20 by the fact that the electrode tracks are disposed on the face 465 of the substrate 470 opposite to the one that faces the support, as already illustrated in FIG. 19.

(120) FIG. 22 shows a crop of a microscope 480 comprising the electroacoustic device 380 of FIG. 20. The electroacoustic device is fixed onto the microscope deck, such that a zone of the support, on which an object to be manipulated is disposed, overlaps an objective 485 of the microscope.

(121) The optical device allows observation of an object 490 trapped in the central zone 495 while being manipulated by the electroacoustic device.

(122) In the variant of FIG. 23, the transducer 500 of the electrical device of the invention is disposed on an objective 505 of the optical device. As objective magnification is directly related to the size of the object intended to be manipulated, the transducer disposed on the objective is preferably adapted to manipulate an object which can be entirely observed with the objective. Preferably, a single transducer is disposed on the objective.

(123) The transducer can be provided on the outer lens, notably the protection lens of the objective. It can also be provided in an inner lens of the objective. Preferably, the substrate of the electrical device is in the form of a coating made of a piezoelectric material (such as AlN, ZnO) deposited on the objective, preferably having a thickness related to the frequency used by the electrical device to optimize the generation efficiency, on top of which electrodes are disposed, preferably being deposited by photolithography. The objective may comprise means for powering the transducer.

(124) In a variant, the substrate can be disposed on a base which is configured to be fixed to the lens. The base can comprise a part made of a non-opaque, preferably transparent material on which the substrate is deposited as a layer.

(125) Preferably, a coupling fluid is sandwiched in between the objective and the support.

(126) In the embodiment of FIG. 23, a swirling SAW generated by the transducer can be propagated, and be transmitted as an acoustic vortex or a pseudo acoustic vortex for instance through an immersion oil wherein the lenses of the objective are embedded.

(127) In a preferred embodiment, the optical device comprises the electroacoustic device according to the first aspect of the invention.

(128) The embodiment as exemplified in FIG. 23 makes the optical device more compact and manipulation of the object is made easier. Further, it reduces issues related to light propagation which might be encountered in substrates having a thickness of greater than 1 mm.

(129) Furthermore, the optical device can comprise a plurality of objectives, each objective comprising an electroacoustic device according to the invention, the electroacoustic devices being different the ones from the other. Preferably, each transducer has a pattern of electrodes which differs from the pattern of electrodes of at least, preferably all the transducers of the plurality. For instance, it is thus possible to successively change the objective of the plurality such as to trap an object in respectively smaller and smaller traps.

(130) The electroacoustic device, for example comprised in an optical device such as the microscope as illustrated in FIG. 22, might be used, for instance, as follow:

(131) A user can dispose a liquid medium comprising an object on top of the support. Then, he may firstly position the liquid medium as to be overlapped by the field of view of the objective, for instance by translating the support with the micro-manipulator.

(132) Then he might choose the transducer which is adapted for the intended object manipulation, for instance chosen among displacement, mixing, coalescing and aliquoting. As described previously, the fundamental frequency of a swirling SAW is defined by the electrode patterns of the transducer. A man skilled in the art knows how to choose an appropriate frequency depending on the size of the object to be manipulated.

(133) The user might then rotate the substrate such that the object and the support overlap the chosen transducer. With the micro-manipulator, the user might then position a visual marker 515 indicating the position of the center of the transducer, such as illustrated for instance in FIG. 9, with regard to the support and the object. The visual marker also preferably corresponds to the position of the dark sport of the swirling SAW, on top of which the object is to be entrapped.

(134) Then, by powering the transducer, and generating a swirling SAW which is transmitted and propagates as an acoustic vortex or a pseudo acoustic vortex in the support up into the liquid medium, the object is manipulated, displaced and trapped on top of the dark spot.

EXAMPLES 1 TO 4: DISPLACEMENT, FUSION, ATOMIZATION AND DIVISION

(135) A water droplet of initial volume 2 μl is disposed on the central zone of the electroacoustic device illustrated on FIG. 14. Burst of duration 25 μs, carrying a frequency of 11.9 MHz and variable repetition rates of a several kHz are used for droplet actuation. The corresponding pulse sequences are presented on the bottom of FIGS. 24 to 27.

(136) For every type of the pulse sequence 520 illustrated on FIG. 24 to 27, the following manipulations have been performed: droplet displacement 525 (FIG. 24), fusion 530 of two droplets (FIG. 25), droplet atomization 535 (FIG. 26) which are obtained respectively with swirling SAWs of second and zero order. FIG. 27 shows droplet division 540 which is obtained by synthesizing burst of focalized waves with two different focal points.

EXAMPLE 5: CELL MANIPULATION

(137) Manipulating of cells and droplets are performed with the microscope as illustrated in FIG. 22, such as to create homogeneous or heterogeneous networks of cells such as stem cell niche, made of stem cells having similar physical properties.

(138) Droplets are the basis of droplet-based microfluidics, used in the domain of single-cell biology. The electroacoustic device of the invention allows an in-depth study of rare events by sampling them within a large pool of experiments, currently a major issue of cancer and drug resistance research.

(139) In this view, a central zone of a transducer is placed under a set of particles to be manipulated by displacement provided by the micro-manipulator. When a particle is at the center of the central zone of the transducer, the power supply is turned on to generate a swirling SAW in order to submit the particle to the attraction effect of the dark spot of the SAW. Operating is performed with a swirling SAW having a frequency of 30 MHz, and with voltage amplitude of 5 Vpp, which are enough such to entrap 10 μm sized particles.

(140) Then the support is moved by translation provided by the micromanipulator while the trap, i.e. the position of the particle relative to the center of the transducer, remains fixed in space, whereas the other particles which are remote from the trap follow the support translation.

(141) Once the selected object is moved, electrical power is turned off.

(142) Then the procedure is repeated for displacing another particle such as to gather particles in a predefined pattern.

(143) The trapping force is proportional to the acoustic power and is inversely proportional to the wavelength. It is also stronger for objects whose density and/or elasticity deviates from the fluid medium.

EXAMPLE 6: CELL DEFORMATION

(144) The electroacoustic device is also implemented to apply forces on biological cells and particles.

(145) It is nowadays understood that forces and stress on cells may determine their fate. Somatic cells adapt to stress and may rigidify, and stem cell differentiation may be affected by external mechanical stress. Nevertheless, methods were limited to apply stress on cells.

(146) A liquid medium comprising antibody-coated microspheres and a cell membrane is placed beneath the object to be manipulated by displacement provided by the micro-manipulator. A suitable transducer is electrically powered in order to entrap the antibody-coated microspheres on top of the center of the transducer. While electrical power is applied, the support is displaced such that the cell membrane comes into contact with the antibody-coated microspheres and is deformed by said microspheres.

EXAMPLE 7: STEADY CURRENTS AND VORTICITY

(147) Swirling SAWs are generated to create a steady swirling current in a microchannel, which is useful for contactless mixing, or for applying hydrodynamic stress to, or for moving particles of size of less than λ/10.

(148) The streaming velocity is proportional to the acoustic power in a medium, and it increases with anyone of the square of the wave frequency, the swirl order, and the square of the height of the channel.

(149) A chamber having a groove defining a microchannel is placed on the support, the groove being located plumb with the transducer center. A liquid medium having a set of particles is placed in the microchannel.

(150) The groove has a depth preferably larger than λ, λ being the wavelength of the swirling SAW. Powering the transducer results in streaming observed in the microchannel, in the form of a cyclone formed in the liquid medium, its eye being located at the center of the radiating swirling SAW. In order to promote streaming, the frequency might be increased, for instance using another transducer.

EXAMPLE 8: PARTICLE DISPLACEMENT

(151) A droplet comprising a suspension of fluorescent polystyrene beads 550 of diameter 30 μm is deposited on the support of an electroacoustic device as illustrated on FIG. 20. A 3 mm thick cover made of PDMS is provided on top of the droplet, and defines an acoustic absorber as well as a slice glueing the droplet. A bead is chosen and is placed on top and close to the visual marker, and the transducer is powered. Then, the support is displaced by the manipulator, and the transducer is switched off, leaving the selected bead in a defined position. Repeating this operation on other beads of the suspension, a pattern of aligned beads defining the word “LIFE” is obtained, as illustrated in FIG. 28.

(152) Needless to say, the invention is not limited to the embodiments supplied as examples.

(153) The present invention is also notably intended for applications in the domain of microscopy, biology, microfluidics, for lab-on-chips, for manipulating nano- and micro-systems. In biophysics, it can be used for studying the behavior of single cells such as cancer cells or stem cells, and of cells networks, for instance implied in Alzheimer illness.