Radiation force of a helicoidal Bessel beam on a sphere

Journal of the Acoustical Society of America

Volumn 125, Issue 6, 2009, Pages 3539-3547

  Marston, Philip L ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC RADIATION FORCE; AZIMUTHAL PHASE; BEAM PARAMETER; BESSEL BEAM; INVISCID FLUIDS; LOW-FREQUENCY SCATTERING; PLANE WAVE; PROPAGATION DIRECTION; RADIATION FORCES; RELATIVELY WEAK SCATTERING; RIGID SPHERE; SOFT SPHERES; TOPOLOGICAL CHARGES;

ACOUSTICS; ALUMINA; ALUMINUM; LASER BEAMS; OPTICAL WAVEGUIDES; RADIATION; SEMICONDUCTOR QUANTUM DOTS; SPHERES; TERNARY SYSTEMS;

ACOUSTIC WAVE SCATTERING;

ACRYLIC ACID DERIVATIVE; ALUMINUM;

ACOUSTICS; ARTICLE; BESSEL BEAM; FORCE; PRIORITY JOURNAL; RADIATION; RADIATION MEASUREMENT; RADIATION SCATTERING; VORTEX MOTION;

EID: 67649086324     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3119625     Document Type: Article

References (53)

1. L. V. King, " On the acoustic radiation pressure on spheres.," Proc. R. Soc. London, Ser. A 147, 212-240 (1933).
2. T. Hasegawa and K. Yosioka, " Acoustic radiation force on fused silica spheres, and intensity determination.," J. Acoust. Soc. Am. 58, 581-585 (1975). 10.1121/1.380708
3. X. C. Chen and R. E. Apfel, " Radiation force on a spherical object in an axisymmetric wave field and its application to the calibration of high-frequency transducers.," J. Acoust. Soc. Am. 99, 713-724 (1996). 10.1121/1.414648
4. J. R. Wu and G. Du, " Acoustic radiation force on a small compressible sphere in a focused beam.," J. Acoust. Soc. Am. 87, 997-1003 (1990). 10.1121/1.399435
5. P. L. Marston, " Axial radiation force of a Bessel beam on a sphere and direction reversal of the force.," J. Acoust. Soc. Am. 120, 3518-3524 (2006). 10.1121/1.2361185
6. P. L. Marston, " Negative axial radiation forces on solid spheres and shells in a Bessel beam.," J. Acoust. Soc. Am. 122, 3162-3165 (2007). 10.1121/1.2799501
7. P. L. Marston, " Scattering of a Bessel beam by a sphere: II. Helicoidal case and spherical shell example.," J. Acoust. Soc. Am. 124, 2905-2910 (2008). 10.1121/1.2973230
8. S. D. Danilov and M. A. Mironov, " Mean force on a small sphere in a sound field in a viscous fluid.," J. Acoust. Soc. Am. 107, 143-153 (2000). 10.1121/1.428346
9. K. Yosioka, T. Hasegawa, and A. Omura, " Comparison of ultrasonic intensity from radiation force on steel spheres with that on liquid spheres.," Acustica 22, 145-152 (1969).
10. D. McGloin and K. Dholakia, " Bessel beams: Diffraction in a new light.," Contemp. Phys. 46, 15-28 (2005). 10.1080/0010751042000275259
11. J. Durnin, " Exact solutions for nondiffracting beams. I. The scalar theory.," J. Opt. Soc. Am. A 4, 651-654 (1987). 10.1364/JOSAA.4.000651
12. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, " Diffraction-free beams.," Phys. Rev. Lett. 58, 1499-1501 (1987). 10.1103/PhysRevLett.58.1499
13. P. L. Marston, " Scattering of a Bessel beam by a sphere.," J. Acoust. Soc. Am. 121, 753-758 (2007). 10.1121/1.2404931
14. J.-L. Thomas and R. Marchiano, " Pseudo angular momentum and topological charge conservation for nonlinear acoustical vortices.," Phys. Rev. Lett. 91, 244302 (2003). 10.1103/PhysRevLett.91.244302
15. R. Marchiano and J.-L. Thomas, " Synthesis and analysis of linear and nonlinear acoustic vortices.," Phys. Rev. E 71, 066616 (2005). 10.1103/PhysRevE.71.066616
16. 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, 3313-3316 (1999). 10.1121/1.428184 (Pubitemid 129520695)
17. T. Hasegawa, M. Ochi, and K. Matsuzawa, " Acoustic radiation force on a solid elastic sphere in a spherical wave field.," J. Acoust. Soc. Am. 69, 937-942 (1981). 10.1121/1.385616 (Pubitemid 11415144)
18. J. R. Wu, " Acoustical tweezers.," J. Acoust. Soc. Am. 89, 2140-2143 (1991). 10.1121/1.400907
19. F. G. Mitri, " Acoustic radiation force on a sphere in standing and quasi-standing zero-order Bessel beam tweezers.," Ann. Phys. 323, 1604-1620 (2008). 10.1016/j.aop.2008.01.011
20. F. G. Mitri and Z. E. A. Fellah, " Theory of the acoustic radiation force exerted on a sphere by a standing and quasi-standing zero-order Bessel beam tweezers of variable half-cone angles.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 55, 2469-2478 (2008). 10.1109/TUFFC.954
21. J. W. Lee and K. K. Shung, " Radiation forces exerted on arbitrarily located sphere by acoustic tweezer.," J. Acoust. Soc. Am. 120, 1084-1094 (2006). 10.1121/1.2216899
22. T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knöner, A. M. Branczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, " Optical tweezers computational toolbox.," J. Opt. A, Pure Appl. Opt. 9, S196-S203 (2007). 10.1088/1464-4258/9/8/S12
23. D. G. Grier, " A revolution in optical manipulation.," Nature (London) 424, 810-816 (2003). 10.1038/nature01935
24. P. L. Marston, " Acoustic beam scattering and excitation of sphere resonance: Bessel beam example.," J. Acoust. Soc. Am. 122, 247-252 (2007). 10.1121/1.2735810
25. D. B. Thiessen and P. L. Marston, " Negative radiation forces on spheres illuminated by Bessel beams: Modeling using finite elements.," J. Acoust. Soc. Am. 122, 3025 (2007). 10.1121/1.2942819
26. B. T. Unger and P. L. Marston, " Optical levitation of bubbles in water by the radiation pressure of a laser beam: An acoustically quiet levitator.," J. Acoust. Soc. Am. 83, 970-975 (1988). 10.1121/1.395974
27. K. T. Gahagan and G. A. Swartzlander, " Trapping of low-index microparticles in an optical vortex.," J. Opt. Soc. Am. B 15, 524-534 (1998). 10.1364/JOSAB.15.000524 (Pubitemid 128575224)
28. P. A. Prentice, M. MacDonald, T. Frank, A. Cuschier, G. Spalding, W. Sibbett, P. Campbell, and K. Dholakia, " Manipulation and filtration of low index particles with holographic Laguerre-Gaussian optical trap arrays.," Opt. Express 12, 593-600 (2004). 10.1364/OPEX.12.000593
29. V. Garbin, D. Cojoc, E. Ferrari, E. Di Fabrizio, M. L. J. Overvelde, S. M. van der Meer, N. de Jong, D. Lohse, and M. Versluis, " Changes in microbubble dynamics near a boundary revealed by combined optical micromanipulation and high-speed imaging.," Appl. Phys. Lett. 90, 114103 (2007). 10.1063/1.2713164
30. P. L. Marston and J. H. Crichton, " Radiation torque on a sphere caused by a circularly polarized electromagnetic wave.," Phys. Rev. A 30, 2508-2516 (1984). 10.1103/PhysRevA.30.2508
31. K. Volke-Sepúlveda, A. O. Santillán, and R. R. Boullosa, " Transfer of angular momentum to matter from acoustical vortices in free space.," Phys. Rev. Lett. 100, 024302 (2008). 10.1103/PhysRevLett.100. 024302
32. K. D. Skeldon, C. Wilson, M. Edgar, and M. J. Padgett, " An acoustic spanner and its associated rotational Doppler shift.," New J. Phys. 10, 013018 (2008). 10.1088/1367-2630/10/1/013018
33. C. P. Lee and T. G. Wang, " Acoustic radiation force on a bubble.," J. Acoust. Soc. Am. 93, 1637-1640 (1993). 10.1121/1.406823 (Pubitemid 23089624)
34. W. Wei, D. B. Thiessen, and P. L. Marston, " Acoustic radiation force on a compressible cylinder in a standing wave.," J. Acoust. Soc. Am. 116, 201-208 (2004). 10.1121/1.1753291
35. W. Wei and P. L. Marston, " Equivalence of expressions for the acoustic radiation force on cylinders.," J. Acoust. Soc. Am. 118, 3397-3399 (2005). 10.1121/1.2126918
36. A. L. Fetter and J. D. Walecka, Theoretical Mechanics of Particles and Continua (Dover, Mineola, NY, 2003), pp. 265 and 548-553.
37. A. Prosperetti, " Thermal effects and damping mechanisms in the forced radial oscillations of gas bubbles in liquids.," J. Acoust. Soc. Am. 61, 17-27 (1977). 10.1121/1.381252
38. K. A. Sage, J. George, and H. Uberall, " Multipole resonances in sound scattering from gas bubbles in a liquid.," J. Acoust. Soc. Am. 65, 1413-1422 (1979). 10.1121/1.382928 (Pubitemid 10472424)
39. R. Hickling, " Analysis of echoes from a solid elastic sphere in water.," J. Acoust. Soc. Am. 34, 1582-1592 (1962). 10.1121/1.1909055
40. B. T. Hefner and P. L. Marston, " Backscattering enhancements associated with subsonic Rayleigh waves on polymer spheres in water: Observation and modeling for acrylic spheres.," J. Acoust. Soc. Am. 107, 1930-1936 (2000). 10.1121/1.428475
41. A. Tesei, P. Guerrini, and M. Zampolli, " Tank measurements of scattering from a resin-filled fiberglass spherical shell with internal flaws.," J. Acoust. Soc. Am. 124, 827-840 (2008). 10.1121/1.2945701
42. R. Hickling and N. M. Wang, " Scattering of sound by a rigid movable sphere.," J. Acoust. Soc. Am. 39, 276-279 (1966). 10.1121/1.1909887
43. T. Hasegawa and Y. Watanabe, " Acoustic radiation pressure on an absorbing sphere.," J. Acoust. Soc. Am. 63, 1733-1737 (1978). 10.1121/1.381912 (Pubitemid 8635216)
44. G. Goddard and G. Kaduchak, " Ultrasonic particle concentration in a line-driven cylindrical tube.," J. Acoust. Soc. Am. 117, 3440-3447 (2005). 10.1121/1.1904405
45. J. B. Lonzaga, D. B. Thiessen, and P. L. Marston, " Uniformly valid solution for acoustic propagation in weakly tapered circular waveguides: Liquid jet example.," J. Acoust. Soc. Am. 123, 151-160 (2008). 10.1121/1.2932348
46. P. L. Marston and D. B. Thiessen, " Manipulation of fluid objects with acoustic radiation pressure.," Ann. N.Y. Acad. Sci. 1027, 414-434 (2004). 10.1196/annals.1324.034
47. J. O. Toilliez and A. J. Szeri, " Optimized translation of microbubbles driven by acoustic fields.," J. Acoust. Soc. Am. 123, 1916-1930 (2008). 10.1121/1.2887413
48. P. A. Dayton, J. S. Allen, and K. W. Ferrara, " The magnitude of radiation force on ultrasound contrast agents.," J. Acoust. Soc. Am. 112, 2183-2193 (2002). 10.1121/1.1509428
49. M. J. Shortencarier, P. A. Dayton, S. H. Bloch, P. A. Schumann, T. O. Matsunaga, and K. W. Ferrara, " A method for radiation-force localized drug delivery using gas-filled lipospheres.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 51, 822-831 (2004). 10.1109/TUFFC.2004.1320741
50. F. G. Mitri, " Acoustic scattering of a high-order Bessel beam by an elastic sphere.," Ann. Phys. 323, 2840-2850 (2008). 10.1016/j.aop.2008.06. 008
51. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), p. 413.
52. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, Mineola, NY, 1965), pp. 331-341.
53. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999), Sec. 3.5, pp. 107-110.