Proof of principle study of ultrasonic particle manipulation by a circular array device

A feasibility study of a circular ultrasonic array device for acoustic particle manipulation is presented. A general approach based on Green's function is developed to analyse the underlying properties of a circular acoustic array. It allows the size of a controllable device area as a function of the number of array elements to be established and the array excitation required to produce a desired field distribution to be determined. A set of quantitative parameters characterizing the complexity of the pressure landscape is suggested, and relation to the number of array elements is found. Next, a finite-element model of a physically realizable circular piezo-acoustic array device is employed to demonstrate that the trapping capability can be achieved in practice.

[1]  Mitsunori Saito,et al.  Composite Materials with Ultrasonically Induced Layer or Lattice Structure , 1999 .

[2]  Junru Wu,et al.  Acoustic radiation force on a small compressible sphere in a focused beam , 1990 .

[3]  Thomas Laurell,et al.  Buffer medium exchange in continuous cell and particle streams using ultrasonic standing wave focusing , 2009 .

[5]  Multi-modal particle manipulator to enhance bead-based bioassays. , 2010, Ultrasonics.

[6]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[7]  F. Mitri,et al.  Characterization of acoustically engineered polymer nanocomposite metamaterials using x-ray microcomputed tomography. , 2011, The Review of scientific instruments.

[8]  Louis Vessot King,et al.  On the Acoustic Radiation Pressure on Spheres , 1934 .

[9]  Philip L Marston,et al.  Axial radiation force of a bessel beam on a sphere and direction reversal of the force. , 2006, The Journal of the Acoustical Society of America.

[10]  K Kirk Shung,et al.  Radiation forces exerted on arbitrarily located sphere by acoustic tweezer. , 2006, The Journal of the Acoustical Society of America.

[11]  J. Conoir,et al.  Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles , 2006 .

[12]  E. Trinh,et al.  Dual‐temperature acoustic levitation and sample transport apparatus , 1986 .

[13]  L. Schmerr.  Fundamentals of Ultrasonic Nondestructive Evaluation , 1998 .

[14]  S. Jackson,et al.  Long-term viability and proliferation of alginate-encapsulated 3-D HepG2 aggregates formed in an ultrasound trap. , 2008, Toxicology in vitro : an international journal published in association with BIBRA.

[15]  A. Ashkin,et al.  Optical trapping and manipulation of single cells using infrared laser beams , 1987, Nature.

[16]  Toshio Fukuda,et al.  Control of a Standing Wave Field Using a Line-Focused Transducer for Two-Dimensional Manipulation of Particles , 1998 .

[17]  J. Wu,et al.  Acoustical tweezers. , 1991, The Journal of the Acoustical Society of America.

[18]  Donald L. Feke,et al.  Methodology for fractionating suspended particles using ultrasonic standing wave and divided flow fields , 1995 .

[19]  J. Hawkes,et al.  Analytical scale ultrasonic standing wave manipulation of cells and microparticles. , 2000, Ultrasonics.

[20]  H M Hertz,et al.  Proliferation and viability of adherent cells manipulated by standing-wave ultrasound in a microfluidic chip. , 2007, Ultrasound in medicine & biology.

[21]  R. Apfel,et al.  Simulation of drop dynamics in an acoustic positioning chamber , 1992 .

[22]  M. Hoyos,et al.  Acoustic programming in step-split-flow lateral-transport thin fractionation. , 2010, Analytical chemistry.

[23]  B W Drinkwater,et al.  Manipulation of microparticles using phase-controllable ultrasonic standing waves. , 2010, The Journal of the Acoustical Society of America.

[24]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[25]  Changyang Lee,et al.  Single beam acoustic trapping. , 2009, Applied physics letters.

[26]  Mitsunori Saito,et al.  Fabrication of a polymer composite with periodic structure by the use of ultrasonic waves , 1998 .

[27]  F. Mitri.  Acoustic radiation force on a sphere in standing and quasi-standing zero-order Bessel beam tweezers , 2008 .

[28]  Paul D. Wilcox,et al.  Manipulation of particles in two dimensions using phase controllable ultrasonic standing waves , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[29]  W. Coakley,et al.  Ultrasonic separations in analytical biotechnology. , 1997, Trends in biotechnology.

[30]  L. Gor’kov,et al.  On the forces acting on a small particle in an acoustical field in an ideal fluid , 1962 .

[31]  Shin-ichiro Umemura,et al.  Concentration and Fractionation of Small Particles in Liquid by Ultrasound , 1995 .

[32]  Christopher S. Kwiatkowski,et al.  Resonator frequency shift due to ultrasonically induced microparticle migration in an aqueous suspension: Observations and model for the maximum frequency shift , 1998 .