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Anisotropic Swirling Surface Acoustic Waves from Inverse Filtering for On-Chip Generation of Acoustic Vortices

Antoine Riaud1,2, Jean-Louis Thomas2, Eric Charron2, Adrien Bussonnière1, Olivier Bou Matar1, and Michael Baudoin1,*

  • 1Institut d’Electronique, de Microélectronique et Nanotechnologie (IEMN), LIA LICS, Université Lille 1 and EC Lille, UMR CNRS 8520, 59652 Villeneuve d’Ascq, France
  • 2Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7588, Institut des NanoSciences de Paris (INSP), F-75005 Paris, France

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Phys. Rev. Applied 4, 034004 – Published 15 September, 2015

DOI: https://doi.org/10.1103/PhysRevApplied.4.034004

Abstract

From radio-electronics signal analysis to biological sample actuation, surface acoustic waves (SAWs) are involved in a multitude of modern devices. However, only the most simple standing or progressive waves such as plane and focused waves have been explored so far. In this paper, we expand the SAW toolbox with a wave family named "swirling surface acoustic waves" which are the 2D anisotropic analogue of bulk acoustic vortices. Similarly to their 3D counterpart, they appear as concentric structures of bright rings with a phase singularity in their center resulting in a central dark spot. After the rigorous mathematical definition of these waves, we synthesize them experimentally through the inverse filtering technique revisited for surface waves. For this purpose, we design a setup combining arrays of interdigitated transducers and a multichannel electronic that enables one to synthesize any prescribed wave field compatible with the anisotropy of the substrate in a region called the “acoustic scene.” This work opens prospects for the design of integrated acoustic vortex generators for on-chip selective acoustic tweezing.

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References (58)

  1. Daniel Royer and Eugène Dieulesaint, Elastic Waves in Solids 2, Generation, Acousto-Optic Interactions, Applications (Springer, New York, 1996), Chap. 2.1.3.
  2. A. Pohl and F. Seifert, in Proceedings of the Instrumentation and Measurement Technology Conference (IEEE, New York, 1996), Vol. 2, pp. 1465–1468.
  3. Odilon D. D. Couto, R. Hey, and P. V. Santos, Spin dynamics in (110) GaAs quantum wells under surface acoustic waves, Phys. Rev. B 78, 153305 (2008).
  4. Jörg B. Kinzel, Daniel Rudolph, Max Bichler, Gerhard Abstreiter, Jonathan J. Finley, Gregor Koblmüller, Achim Wixforth, and Hubert J. Krenner, Directional and dynamic modulation of the optical emission of an individual GaAs nanowire using surface acoustic waves, Nano Lett. 11, 1512 (2011).
  5. A. Pohl, A review of wireless SAW sensors, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 317 (2000).
  6. David Stephen Ballantine, Acoustic Wave Sensors: Theory, Design, and Physico-Chemical Applications (Academic, New York, 1997).
  7. Trung Dung Luong and Nam Trung Nguyen, Surface acoustic wave driven microfluidics—A review, Micro Nanosyst. 2, 217 (2010).
  8. Leslie Y. Yeo and James R. Friend, Surface acoustic wave microfluidics, Annu. Rev. Fluid Mech. 46, 379 (2014).
  9. Thomas Franke, Adam R. Abate, David A. Weitz, and Achim Wixforth, Surface acoustic wave (SAW) directed droplet flow in microfluidics for PDMS devices, Lab Chip 9, 2625 (2009).
  10. A. Wixforth, C. Strobl, C. Gauer, A. Toegl, J. Scriba, and Z. Guttenberg, Acoustic manipulation of small droplets, Anal. Bioanal. Chem. 379, 982 (2004).
  11. A. Renaudin, P. Tabourier, V. Zhang, J. C. Camart, and C. Druon, SAW nanopump for handling droplets in view of biological applications, Sens. Actuators, B 113, 389 (2006).
  12. M. Baudoin, P. Brunet, O. Bou Matar, and E. Herth, Low power sessile droplets actuation via modulated surface acoustic waves, Appl. Phys. Lett. 100, 154102 (2012).
  13. K. Chono, N. Shimizu, Y. Matsui, J. Kondoh, and S. Shiokawa, Development of novel atomization system based on SAW streaming, Jpn. J. Appl. Phys. 43, 2987 (2004).
  14. A. Qi, L. Y. Yeo, and J. R. Friend, Interfacial destabilization and atomization driven by surface acoustic waves, Phys. Fluids 20, 074103 (2008).
  15. S. Shiokawa, Y. Matsui, and T. Ueda, Study of SAW streaming and its application to fluid device, Jpn. J. Appl. Phys. 29, 137 (1990).
  16. M. K. Tan, J. R. Friend, and L. Y. Yeo, Interfacial Jetting Phenomena Induced by Focused Surface Vibrations, Phys. Rev. Lett. 103, 024501 (2009).
  17. T. Frommelt, M. Kostur, M. Wenzel-Schäfer, P. Talkner, P. Hänggi, and A. Wixforth, Microfluidic Mixing via Acoustically Driven Chaotic Advection, Phys. Rev. Lett. 100, 034502 (2008).
  18. Mikkel Settnes and Henrik Bruus, Forces acting on a small particle in an acoustical field in a viscous fluid, Phys. Rev. E 85, 016327 (2012).
  19. Xiaoyun Ding, Sz-Chin Steven Lin, Brian Kiraly, Hongjun Yue, Sixing Li, I-Kao Chiang, Jinjie Shi, Stephen J. Benkovic, and Tony Jun Huang, On-chip manipulation of single microparticles, cells, and organisms using surface acoustic waves, Proc. Natl. Acad. Sci. U.S.A. 109, 11105 (2012).
  20. S. B. Q. Tran, P. Marmottant, and P. Thibault, Fast acoustic tweezers for the two-dimensional manipulation of individual particles in microfluidic channels, Appl. Phys. Lett. 101, 114103 (2012).
  21. Adrien Bussonnière, Yannick Miron, Michaël Baudoin, Olivier Bou Matar, Michel Grandbois, Paul Charette, and Alan Renaudin, Cell detachment and label-free cell sorting using modulated surface acoustic waves (SAWs) in droplet-based microfluidics, Lab Chip 14, 3556 (2014).
  22. J. Durnin, J. J. Miceli, and J. H. Eberly, Diffraction-Free Beams, Phys. Rev. Lett. 58, 1499 (1987).
  23. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes, Phys. Rev. A 45, 8185 (1992).
  24. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Direct Observation of Transfer of Angular Momentum to Absorptive Particles from a Laser Beam with a Phase Singularity, Phys. Rev. Lett. 75, 826 (1995).
  25. B. T. Hefner and P. L. Marston, An acoustical helicoidal wave transducer with applications for the alignment of ultrasonic and underwater systems, J. Acoust. Soc. Am. 106, 3313 (1999).
  26. R. Marchiano and J.-L. Thomas, Synthesis and analysis of linear and nonlinear acoustical vortices, Phys. Rev. E 71, 066616 (2005).
  27. Vincenzo Grillo, Gian Carlo Gazzadi, Erfan Mafakheri, Stefano Frabboni, Ebrahim Karimi, and Robert W. Boyd, Holographic Generation of Highly Twisted Electron Beams, Phys. Rev. Lett. 114, 034801 (2015).
  28. Roeland Juchtmans, Armand Béché, Artem Abakumov, Maria Batuk, and Jo Verbeeck, Using electron vortex beams to determine chirality of crystals in transmission electron microscopy, Phys. Rev. B 91, 094112 (2015).
  29. V. G. Sala, D. D. Solnyshkov, I. Carusotto, T. Jacqmin, A. Lemaitre, H. Tercas, A. Nalitov, M. Abbarchi, E. Galopin, I. Sagnes, J. Bloch, G. Malpuech, and A. Amo, Spin-Orbit Coupling for Photons and Polaritons in Microstructures, Phys. Rev. X 5, 011034 (2015).
  30. A. Anhauser, R. Wunenburger, and E. Brasselet, Acoustic Rotational Manipulation Using Orbital Angular Momentum Transfer, Phys. Rev. Lett. 109, 034301 (2012).
  31. Philip L. Marston, Axial radiation force of a bessel beam on a sphere and direction reversal of the force, J. Acoust. Soc. Am. 120, 3518 (2006).
  32. Diego Baresch, Jean-Louis Thomas, and Régis Marchiano, Observation of a single-beam gradient force acoustical trap for elastic particles: Acoustical tweezers, arXiv:1411.1912.
  33. Alon Grinenko, Paul D. Wilcox, Charles R. P. Courtney, and Bruce W. Drinkwater, Proof of principle study of ultrasonic particle manipulation by a circular array device, Proc. R. Soc. A 468, 3571 (2012).
  34. Charles R. P. Courtney, Bruce W. Drinkwater, Christine E. M. Demore, Sandy Cochran, Alon Grinenko, and Paul D. Wilcox, Dexterous manipulation of microparticles using bessel-function acoustic pressure fields, Appl. Phys. Lett. 102, 123508 (2013).
  35. Antoine Riaud, Michael Baudoin, Jean-Louis Thomas, and Olivier Bou Matar, Cyclones and attractive streaming generated by acoustical vortices, Phys. Rev. E 90, 013008 (2014).
  36. G. Cincotti, A. Ciattoni, and C. Palma, Hermite-Gauss beams in uniaxially anisotropic crystals, IEEE J. Quantum Electron. 37, 1517 (2001).
  37. Dmitriy H. Zusin, Raman Maksimenka, Valerii V. Filippov, Ruslan V. Chulkov, Michel Perdrix, Olivier Gobert, and Alexander S. Grabtchikov, Bessel beam transformation by anisotropic crystals, J. Opt. Soc. Am. A 27, 1828 (2010).
  38. Tatyana Fadeyeva, Alexander Rubass, Yuriy Egorov, Alexander Volyar, and Jr. Grover Swartzlander, Quadrefringence of optical vortices in a uniaxial crystal, J. Opt. Soc. Am. A 25, 1634 (2008).
  39. Xiancong Lu and Lixiang Chen, Anisotropic dynamics of optical vortex-beam propagating in biaxial crystals: A numerical method based on asymptotic expansion, Opt. Express 21, 8493 (2013).
  40. Antoine Riaud, Jean-Louis Thomas, Michaël Baudoin, and Olivier Bou Matar, Taming the degeneration of Bessel beams at anisotropic-isotropic interface: Toward 3D control of confined vortical waves, arXiv:1508.07980.
  41. S. R. Fang, S. Y. Zhang, and Z. F. Lu, SAW focusing by circular-arc interdigital transducers on YZ-LiNbO3, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 36, 178 (1989).
  42. Vincent Laude, Davy Gerard, Naima Khelfaoui, Carlos F. Jerez-Hanckes, Sarah Benchabane, and Abdelkrim Khelif, Subwavelength focusing of surface acoustic waves generated by an annular interdigital transducer, Appl. Phys. Lett. 92, 094104 (2008).
  43. Tsung-Tsong Wu, He-Tai Tang, Yung-Yu Chen, and P.-L. Liu, Analysis and design of focused interdigital transducers, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 52, 1384 (2005).
  44. Subramanian K. R. S. Sankaranarayanan and Venkat R. Bhethanabotla, Design of efficient focused surface acoustic wave devices for potential microfluidic applications, J. Appl. Phys. 103, 064518 (2008).
  45. R. C. Peach, A general Green function analysis for SAW devices, Proc. IEEE Ultrasonics Symposium 1, 221 (1995).
  46. V. P. Plessky and T. Thorvaldsson, Periodic Green’s functions analysis of SAW and leaky SAW propagation in a periodic system of electrodes on a piezoelectric crystal, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 280 (1995).
  47. Donghai Qiao, Wen Liu, and P. M. Smith, General Green’s functions for SAW device analysis, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46, 1242 (1999).
  48. V. Laude, C. F. Jerez-Hanckes, and S. Ballandras, Surface Green’s function of a piezoelectric half-space, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53, 420 (2006).
  49. Mickaël Tanter, Jean-Louis Thomas, and Mathias Fink, Time reversal and the inverse filter, J. Acoust. Soc. Am. 108, 223 (2000).
  50. N. B. Piller and O. J. F. Martin, Extension of the generalized multipole technique to anisotropic medias, Opt. Commun. 150, 9 (1998).
  51. Juha Fagerholm, Ari T. Friberg, Juhani Huttunen, David P. Morgan, and Martti M. Salomaa, Angular-spectrum representation of nondiffracting X waves, Phys. Rev. E 54, 4347 (1996).
  52. Daniel Royer and Eugène Dieulesaint, Elastic Waves in Solids 1, Free and Guided Propagation (Springer, New York, 1996), Chap. 4.2.5.
  53. J. J. Campbell and W. R. Jones, Propagation of surface waves at the boundary between a piezoelectric crystal and a fluid medium, IEEE Trans. Sonics Ultrason. 17, 71 (1970).
  54. Olivier Bou Matar, Noura Gasmi, Huan Zhou, Marc Goueygou, and Abdelkrim Talbi, Legendre and Laguerre polynomial approach for modeling of wave propagation in layered magneto-electro-elastic media, J. Acoust. Soc. Am. 133, 1415 (2013).
  55. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Generation of optical phase singularities by computer-generated holograms, Opt. Lett. 17, 221 (1992).
  56. J.-L. Thomas and R. Marchiano, Pseudoangular Momentum and Topological Charge Conservation for Nonlinear Acoustical Vortices, Phys. Rev. Lett. 91, 244302 (2003).
  57. K. Volke-Sepulveda, A. O. Santillan, and R. R. Boullosa, Transfer of Angular Momentum to Matter from Acoustical Vortices in Free Space, Phys. Rev. Lett. 100, 024302 (2008).
  58. F. W. J. Olver, A further method for the evaluation of zeros of bessel functions and some new asymptotic expansions for zeros of functions of large order, Math. Proc. Cambridge Philos. Soc. 47, 699 (1951).

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Phys. Rev. Applied 4, 034004– Published 15 September, 2015
  • Received 29 April 2015

© 2015 American Physical Society

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