Optical Vortex Trapping and the Dynamics of Particle Rotation

Structured Light and its Applications

Volumn , Issue , 2008, Pages 195-236

  Nieminen, Timo A ^a   Parkin, Simon ^a   Asavei, Theodor ^a   Loke, Vincent L Y ^a   Heckenberg, Norman R ^a   Rubinsztein Dunlop, Halina ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84882488662     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-12-374027-4.00008-6     Document Type: Chapter

References (91)

1. Ashkin A. Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. Biophys. J. 1992, 61:569-582.
2. Atkinson R.d'E. Energy and angular momentum in certain optical problems. Phys. Rev. 1935, 47:623-627.
3. Barnett S.M. Optical angular-momentum flux. J. Opt. B: Quantum Semiclassical Opt. 2002, 4:S7-S16.
4. Basistiy I.V., Slyusar V.V., Soskin M.S., Vasnetsov M.V., Bekshaev A.Y. Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam. Opt. Lett. 2003, 28(14):1185-1187.
5. Bayoudh S., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Orientation of biological cells using plane polarised Gaussian beam optical tweezers. J. Mod. Opt. 2003, 50(10):1581-1590.
6. Beth R.A. Mechanical detection and measurement of the angular momentum of light. Phys. Rev. 1936, 50:115-125.
7. Bishop A.I., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Optical application and measurement of torque on microparticles of isotropic nonabsorbing material. Phys. Rev. A 2003, 68:033802.
8. Bishop A.I., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Optical microrheology using rotating laser-trapped particles. Phys. Rev. Lett. 2004, 92(19):198104.
9. B.C. Brock, Using vector spherical harmonics to compute antenna mutual impedance from measured or computed fields, Sandia report SAND2000-2217-Revised, Sandia National Laboratories, Albuquerque, New Mexico, 2001.
10. Cheng Z., Chaikin P.M., Mason T.G. Light streak tracking of optically trapped thin microdisks. Phys. Rev. Lett. 2002, 89(10):108303.
11. Choi C.H., Ivanic J., Gordon M.S., Ruedenberg K. Rapid and stable determination of rotation matrices between spherical harmonics by direct recursion. J. Chem. Phys. 1999, 111:8825-8831.
12. Collett W.L., Ventrice C.A., Mahajan S.M. Electromagnetic wave technique to determine radiation torque on micromachines driven by light. Appl. Phys. Lett. 2003, 82(16):2730-2732.
13. Courtial J., Padgett M.J. Limit to the orbital angular momentum per unit energy in a light beam that can be focussed onto a small particle. Opt. Commun. 2000, 173:269-274.
14. Crichton J.H., Marston P.L. The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation. Electronic J. Differential Equations Conf. 2000, 04:37-50.
15. Curtis J.E., Grier D.G. Structure of optical vortices. Phys. Rev. Lett. 2003, 90(13):133901.
16. Doicu A., Wriedt T. Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions. Appl. Opt. 1997, 36:2971-2978.
17. Dorn R., Quabis S., Leuchs G. Sharper focus for a radially polarized light beam. Phys. Rev. Lett. 2003, 91(23):233901.
18. Ehrenhaft F. Rotating action on matter in a beam of light. Science 1945, 101:676-677.
19. Forrester A., Courtial J., Padgett M.J. Performance of a rotating aperture for spinning and orienting objects in optical tweezers. J. Mod. Opt. 2003, 50(10):1533-1538.
20. Friese M.E.J., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Optical alignment and spinning of laser trapped microscopic particles. Nature. Nature 1998, 395:621-1350. Erratum.
21. Gahagan K.T., Swartzlander G.A. Optical vortex trapping of particles. Opt. Lett. 1996, 21:827-829.
22. Galajda P., Ormos P. Complex micromachines produced and driven by light. Appl. Phys. Lett. 2001, 78:249-251.
23. Galajda P., Ormos P. Rotors produced and driven in laser tweezers with reversed direction of rotation. Appl. Phys. Lett. 2002, 80(24):4653-4655.
24. Galajda P., Ormos P. Orientation of flat particles in optical tweezers by linearly polarized light. Opt. Exp. 2003, 11(5):446-451.
25. Garcés-Chávez V., McGloin D., Padgett M.J., Dultz W., Schmitzer H., Dholakia K. Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle. Phys. Rev. Lett. 2003, 91(9):093602.
26. Gauthier R.C. Computation of the optical trapping force using an FDTD based technique. Opt. Exp. 2005, 13(10):3707-3718.
27. Goldstein H., Poole C., Safko J. Classical Mechanics 2002, Addison-Wesley, San Francisco. 3rd ed.
28. Gouesbet G., Grehan G. Sur la généralisation de la théorie de Lorenz-Mie. J. Opt. (Paris) 1982, 13(2):97-103.
29. Gouesbet G., Lock J.A. Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz-Mie theory. II. Off-axis beams. J. Opt. Soc. Am. A 1994, 11(9):2516-2525.
30. Gumerov N.A., Duraiswami R. Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation. SIAM J. Sci. Comput. 2003, 25(4):1344-1381.
31. Han Y., Gréhan G., Gouesbet G. Generalized Lorenz-Mie theory for a spheroidal particle with off-axis Gaussian-beam illumination. Appl. Opt. 2003, 42(33):6621-6629.
32. Han Y., Wu Z. Scattering of a spheroidal particle illuminated by a Gaussian beam. Appl. Opt. 2001, 40:2501-2509.
33. Harada Y., Asakura T. Radiation forces on a dielectric sphere in the Rayleigh scattering regime. Opt. Commun. 1996, 124:529-541.
34. He H., Friese M.E.J., Heckenberg N.R., Rubinsztein-Dunlop H. Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. Phys. Rev. Lett. 1995, 75:826-829.
35. He H., Heckenberg N.R., Rubinsztein-Dunlop H. Optical particle trapping with higher-order doughnut beams produced using high efficiency computer generated holograms. J. Mod. Opt. 1995, 42(1):217-223.
36. Heckenberg N.R., Friese M.E.J., Nieminen T., Rubinsztein-Dunlop H. Mechanical effects of optical vortices. Horizons in World Physics 1999, vol. 228:75-105. Nova Science, Commack, New York. M. Vasnetsov, K. Staliunas (Eds.).
37. Humblet J. Sur le moment d'impulsion d'une onde électromagnétique. Physica 1943, 10(7):585-603.
38. Jackson J.D. Classical Electrodynamics 1999, John Wiley, New York. 3rd ed.
39. Jauch J.M., Rohrlich F. The Theory of Photons and Electrons 1976, Springer, New York. 2nd ed.
40. Kawauchi H., Yonezawa K., Kozawa Y., Sato S. Calculation of optical trapping forces on a dielectric sphere in the ray optics regime produced by a radially polarized laser beam. Opt. Lett. 2007, 32:1839-1841.
41. Kelemen L., Valkai S., Ormos P. Integrated optical motor. Appl. Opt. 2006, 45(12):2777-2780.
42. Khan M., Sood A.K., Deepak F.L., Rao C.N.R. Nanorotors using asymmetric inorganic nanorods in an optical trap. Nanotechnology 2006, 17:S287-S290.
43. Knöner G., Parkin S., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Measurement of the index of refraction of single microparticles. Phys. Rev. Lett. 2006, 97:157402.
44. Knöner G., Parkin S., Nieminen T.A., Loke V.L.Y., Heckenberg N.R., Rubinsztein-Dunlop H. Integrated optomechanical microelements. Opt. Exp. 2007, 15(9):5521-5530.
45. La Porta A., Wang M.D. Optical torque wrench: Angular trapping, rotation, and torque detection of quartz microparticles. Phys. Rev. Lett. 2004, 92(19):190801.
46. Leach J., Padgett M.J., Barnett S.M., Franke-Arnold S., Courtial J. Measuring the orbital angular momentum of a single photon. Phys. Rev. Lett. 2002, 88(25):257901.
47. Lock J.A., Gouesbet G. Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz-Mie theory. I. On-axis beams. J. Opt. Soc. Am. A 1994, 11(9):2503-2515.
48. Loke V.L.Y., Nieminen T.A., Asavei T., Heckenberg N.R., Rubinsztein-Dunlop H. Optically driven micromachines: Design and fabrication. Tenth Conference on Light Scattering by Nonspherical Particles 2007, 109-112. International Centre for Hect and Mass Transfer, Ankara. M. Mishchenko, G. Videen (Eds.).
49. Loke V.L.Y., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Exploiting symmetry and incorporating the T-matrix in the discrete dipole approximation (DDA) method. Proceedings of the DDA-Workshop 2007, 10-12. Institut für Werkstofftechnik, Bremen. T. Wriedt, A. Hoekstra (Eds.).
50. Loke V.L.Y., Nieminen T.A., Parkin S.J., Heckenberg N.R., Rubinsztein-Dunlop H. FDFD/T-matrix hybrid method. J. Quant. Spectrosc. Radiat. Transfer 2007, 106:274-284.
51. Lorenz L. Lysbevægelsen i og uden for en af plane Lysbølger belyst Kugle. Vidensk. Selsk. Skrifter 1890, 6:2-62.
52. Mair A., Vaziri A., Weihs G., Zeilinger A. Entanglement of the orbital angular momentum states of photons. Nature 2001, 412:313-316.
53. Maruo S., Ikuta K., Korogi H. Force-controllable, optically driven micromachines fabricated by single-step two-photon microstereolithography. J. Microelectromech. Syst. 2003, 12(5):533-539.
54. Mie G. Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Ann. Phys. 1908, 25(3):377-445.
55. Mishchenko M.I. Light scattering by randomly oriented axially symmetric particles. J. Opt. Soc. Am. A 1991, 8:871-882.
56. Neves A.A.R., Fontes A., Padilha L.A., Rodriguez E., de Brito Cruz C.H., Barbosa L.C., Cesar C.L. Exact partial wave expansion of optical beams with respect to an arbitrary origin. Opt. Lett. 2006, 31(16):2477-2479.
57. Nieminen T.A. Comment on: "Geometric absorption of electromagnetic angular momentum," C. Konz, G. Benford. Opt. Commun. 2004, 235:227-229.
58. Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Optical measurement of microscopic torques. J. Mod. Opt. 2001, 48:405-413.
59. Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Angular momentum of a strongly focussed Gaussian beam arxiv:/physics/0408080.
60. Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Computational modelling of optical tweezers. Proc. Soc. Photo. Instrum. Eng. 2004, 5514:514-523.
61. Nieminen T.A., Higuet J., Knöner G., Loke V.L.Y., Parkin S., Singer W., Heckenberg N.R., Rubinsztein-Dunlop H. Optically driven micromachines: progress and prospects. Proc. Soc. Photo. Instrum. Eng. 2006, 6038:237-245.
62. Nieminen T.A., Knöner G., Heckenberg N.R., Rubinsztein-Dunlop H. Physics of optical tweezers. Methods in Cell Biology 2007, vol. 82:207-236. Elsevier. M.W. Berns, K.O. Greulich (Eds.).
63. Nieminen T.A., Loke V.L.Y., Brańczyk A.M., Heckenberg N.R., Rubinsztein-Dunlop H. Towards efficient modelling of optical micromanipulation of complex structures. PIERS Online 2006, 2(5):442-446.
64. Nieminen T.A., Loke V.L.Y., Knöner G., Brańczyk A.M. Toolbox for calculation of optical forces and torques. PIERS Online 2007, 3(3):338-342.
65. Nieminen T.A., Loke V.L.Y., Stilgoe A.B., Knöner G., Brańczyk A.M. Optical tweezers computational toolbox 1.0 http://www.physics.uq.edu.au/people/nieminen/software.html.
66. Nieminen T.A., Loke V.L.Y., Stilgoe A.B., Knöner G., Brańczyk A.M., Heckenberg N.R., Rubinsztein-Dunlop H. Optical tweezers computational toolbox. J. Opt. A: Pure Appl. Opt. 2007, 9:S196-S203.
67. Nieminen T.A., Parkin S.J., Heckenberg N.R., Rubinsztein-Dunlop H. Optical torque and symmetry. Proc. Soc. Photo. Instrum. Eng. 2004, 5514:254-263.
68. Nieminen T.A., Rubinsztein-Dunlop H., Heckenberg N.R. Calculation and optical measurement of laser trapping forces on nonspherical particles. J. Quant. Spectrosc. Radiat. Transfer 2001, 70:627-637.
69. Nieminen T.A., Rubinsztein-Dunlop H., Heckenberg N.R. Calculation of the T-matrix: general considerations and application of the point-matching method. J. Quant. Spectrosc. Radiat. Transfer 2003, 79-80:1019-1029.
70. Nieminen T.A., Rubinsztein-Dunlop H., Heckenberg N.R. Multipole expansion of strongly focussed laser beams. J. Quant. Spectrosc. Radiat. Transfer 2003, 79-80:1005-1017.
71. Nieminen T.A., Rubinsztein-Dunlop H., Heckenberg N.R., Bishop A.I. Numerical modelling of optical trapping. Comput. Phys. Commun. 2001, 142:468-471.
72. Noether E. Invariante Variationsprobleme. Nachrichten von der Gesselschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse. Transport Theory and Statistical Mechanics 1971, 1(3):183-207. English translation by M.A. Tavel.
73. O'Neil A.T., MacVicar I., Allen L., Padgett M.J. Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. Phys. Rev. Lett. 2002, 88:053601.
74. O'Neil A.T., Padgett M.J. Three-dimensional optical confinement of micron-sized metal particles and the decoupling of the spin and orbital angular momentum within an optical spanner. Opt. Commun. 2000, 185:139-143.
75. O'Neil A.T., Padgett M.J. Rotational control within optical tweezers by use of a rotating aperture. Opt. Lett. 2002, 27(9):743-745.
76. Parkin S.J., Knöner G., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Torque transfer in optical tweezers due to orbital angular momentum. Proc. Soc. Photo. Instrum. Eng. 2006, 6326:63261B.
77. Parkin S.J., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Optical measurement of torque exerted on an elongated object by a noncircular laser beam. Phys. Rev. A 2004, 70:023816.
78. Parkin S., Knöner G., Nieminen T.A., Heckenberg N.R., Rubinsztein-Dunlop H. Measurement of the total optical angular momentum transfer in optical tweezers. Opt. Exp. 2006, 14(15):6963-6970.
79. Quabis S., Dorn R., Eberler M., Glöckl O., Leuchs G. Focusing light to a tighter spot. Opt. Commun. 2000, 179:1-7.
80. Rohrlich F. Classical Charged Particles 1965, Addison-Wesley, Reading, MA.
81. Siegman A.E. Lasers 1986, Oxford Univ. Press, Oxford.
82. Simpson N.B., Dholakia K., Allen L., Padgett M.J. Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. Opt. Lett. 1997, 22:52-54.
83. Soper D.E. Classical Field Theory 1976, Wiley, New York.
84. Stratton J.A. Electromagnetic Theory 1941, McGraw-Hill, New York.
85. Ukita H., Kanehira M. A shuttlecock optical rotator-its design, fabrication and evaluation for a microfluidic mixer. IEEE J. Selected Topics Quantum Electron. 2002, 8(1):111-117.
86. Ukita H., Nagatomi K. Theoretical demonstration of a newly designed micro-rotator driven by optical pressure on a light incident surface. Opt. Rev. 1997, 4(4):447-449.
87. Videen G. Light scattering from a sphere near a plane interface. Lecture Notes in Physics 2000, vol. 534:81-96. Springer-Verlag, Berlin. F. Moreno, F. González (Eds.).
88. Volke-Sepulveda K., Ley-Koo E. General construction and connections of vector propagation invariant optical fields: TE and TM modes and polarization states. J. Opt. A: Pure Appl. Opt. 2006, 8:867-877.
89. Waterman P.C. Symmetry, unitarity, and geometry in electromagnetic scattering. Phys. Rev. D 1971, 3:825-839.
90. White D.A. Vector finite element modeling of optical tweezers. Comput. Phys. Commun. 2000, 128:558-564.
91. Zambrini R., Barnett S.M. Local transfer of optical angular momentum to matter. J. Mod. Opt. 2005, 52(8):1045-1052.