Behavior of oblate spheroidal microparticles in a tightly focused optical vortex beam

We investigated the behavior of an oblate spheroidal polystyrene microparticle trapped in a focused vortex beam when the beam vorticity and polarization were modified. We demonstrated that such particles can be trapped in three dimensions, spin in a circularly polarized beam and an optical vortex beam around the axis parallel to the beam propagation. We compared the immediate frequencies and showed that contribution from the circularly polarized beam is one order of magnitude weaker comparing to the beam angular orbital momentum. Using a phase-only spatial light modulator we generated several vortex beam traps with well-defined parameters. Measuring the rotations of trapped spheroids we observed hydrodynamic phase and frequency locking for certain sets of beam parameters.

[1]  W. Marsden.  I and J , 2012 .

[2]  Miles J Padgett,et al.  Partial synchronization of stochastic oscillators through hydrodynamic coupling. , 2012, Physical review letters.

[3]  Miles J. Padgett,et al.  Light with a twist in its tail , 2000 .

[4]  Miles J. Padgett,et al.  Tweezers with a twist , 2011 .

[5]  P. Ormos,et al.  Integrated optical motor. , 2006, Applied optics.

[6]  Feng Xu,et al.  Theoretical prediction of radiation pressure force exerted on a spheroid by an arbitrarily shaped beam. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  H. Rubinsztein-Dunlop,et al.  Optical application and measurement of torque on microparticles of isotropic nonabsorbing material , 2003, physics/0309122.

[8]  Pál Ormos,et al.  Complex micromachines produced and driven by light , 2001, CLEO 2002.

[9]  T. Walker,et al.  Light torque nanocontrol, nanomotors and nanorockers. , 2002, Optics express.

[10]  Simon Hanna,et al.  Optimizing the optical trapping stiffness of holographically trapped microrods using high-speed video tracking , 2011 .

[11]  Pavel Zemánek,et al.  Optical alignment and confinement of an ellipsoidal nanorod in optical tweezers: a theoretical study. , 2012, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Simon Hanna,et al.  Computational study of the optical trapping of ellipsoidal particles , 2011 .

[13]  Simon Hanna,et al.  Optical angular momentum transfer by Laguerre-Gaussian beams. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  Renshi Sawada,et al.  Optically induced angular alignment of trapped birefringent micro-objects by linearly polarized light , 1999 .

[15]  S. Neale,et al.  All-optical control of microfluidic components using form birefringence , 2005, Nature materials.

[16]  Miles J. Padgett,et al.  IV The Orbital Angular Momentum of Light , 1999 .

[17]  Guy Vitrant,et al.  Optically driven Archimedes micro-screws for micropump application. , 2011, Optics express.

[18]  Miles J Padgett,et al.  Rotational control within optical tweezers by use of a rotating aperture. , 2002, Optics letters.

[19]  P. Ormos,et al.  Rotation of microscopic propellers in laser tweezers , 2002 .

[20]  M J Padgett,et al.  Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle. , 2003, Physical review letters.

[21]  David Lara,et al.  Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems. , 2011, Optics express.

[22]  Kishan Dholakia,et al.  Orbital angular momentum of a high order Bessel light beam , 2002, CLEO 2002.

[23]  M E Friese,et al.  Optical torque controlled by elliptical polarization. , 1998, Optics letters.

[24]  Halina Rubinsztein-Dunlop,et al.  Optical microrheology using rotating laser-trapped particles. , 2004, Physical review letters.

[25]  R. Di Leonardo,et al.  Hydrodynamic synchronization of light driven microrotors. , 2012, Physical review letters.

[26]  M. Vilfan,et al.  Self-assembled artificial cilia , 2010, Proceedings of the National Academy of Sciences.

[27]  Pal Ormos,et al.  Orientation of flat particles in optical tweezers by linearly polarized light. , 2003, Optics express.

[28]  Michelle D. Wang,et al.  Optical torque wrench: angular trapping, rotation, and torque detection of quartz microparticles. , 2004, Physical review letters.

[29]  Halina Rubinsztein-Dunlop,et al.  Optical torque on microscopic objects. , 2007, Methods in cell biology.

[30]  K. Neuman,et al.  Optical trapping. , 2004, The Review of scientific instruments.

[31]  E. Stelzer,et al.  Trapping and tracking a local probe with a photonic force microscope , 2004 .

[32]  Patrick Snabre,et al.  Radiation pressure makes ellipsoidal particles tumble , 2012 .

[33]  K. Dholakia,et al.  Orbital angular momentum of a high-order Bessel light beam , 2002 .

[34]  Johannes Courtial,et al.  Optically controlled three-dimensional rotation of microscopic objects , 2003 .

[35]  Steven M Block,et al.  An optical apparatus for rotation and trapping. , 2010, Methods in enzymology.

[36]  Julio C. Gutiérrez-Vega,et al.  Geometrical optics calculation of forces and torques produced by a ringed beam on a prolate spheroid , 2010 .

[37]  Kishan Dholakia,et al.  Supplementary Figure S1: Numerical Psd Simulation. Example Numerical Simulation of The , 2022 .

[38]  Jürgen Kurths,et al.  Synchronization: Phase locking and frequency entrainment , 2001 .

[39]  Simon Hanna,et al.  Optical trapping of spheroidal particles in Gaussian beams. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[40]  Ramin Golestanian,et al.  Generic conditions for hydrodynamic synchronization. , 2010, Physical review letters.

[41]  Stephen M. Barnett,et al.  Orbital angular momentum and nonparaxial light beams , 1994 .

[42]  R. A. Beth.  Mechanical Detection and Measurement of the Angular Momentum of Light , 1936 .

[43]  Anna Mathesz,et al.  Light sailboats: Laser driven autonomous microrobots , 2012, 1211.2653.

[44]  Arthur Ashkin,et al.  Optical Trapping and Manipulation of Neutral Particles Using Lasers , 1999 .

[45]  M J Padgett,et al.  Intrinsic and extrinsic nature of the orbital angular momentum of a light beam. , 2002, Physical review letters.

[46]  Cameron Tropea,et al.  Radiation Torque Exerted on a Spheroid: Analytical Solution , 2008 .

[47]  Bruno Eckhardt,et al.  Synchronization, phase locking, and metachronal wave formation in ciliary chains. , 2008, Chaos.

[48]  Jurij Kotar,et al.  Noise and synchronization of a single active colloid. , 2011, Physical review letters.

[49]  Giancarlo Ruocco,et al.  Computer generation of optimal holograms for optical trap arrays. , 2007, Optics express.

[50]  He,et al.  Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. , 1995, Physical review letters.

[51]  Julio C. Gutiérrez-Vega,et al.  Optical forces on a Mie spheroidal particle arbitrarily oriented in a counterpropagating trap , 2009 .

[52]  W Sibbett,et al.  Controlled Rotation of Optically Trapped Microscopic Particles , 2001, Science.

[53]  K. Bliokh,et al.  Angular Momenta and Spin-Orbit Interaction of Nonparaxial Light in Free Space , 2010, 1006.3876.

[54]  Simon Hanna,et al.  Application of the discrete dipole approximation to optical trapping calculations of inhomogeneous and anisotropic particles. , 2011, Optics express.

[55]  Tomáš Čižmár,et al.  Shaping the future of manipulation , 2011 .

[56]  P. Chaikin,et al.  Light streak tracking of optically trapped thin microdisks. , 2002, Physical review letters.

[57]  Pál Ormos,et al.  Complex micromachines produced and driven by light , 2002, CLEO 2002.

[58]  Norman R. Heckenberg,et al.  Optical tweezers computational toolbox , 2007 .

[59]  M. Nobili,et al.  Brownian Motion of an Ellipsoid , 2006, Science.

[60]  M J Padgett,et al.  Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. , 1997, Optics letters.

[61]  P. Ormos,et al.  Direct measurement of torque in an optical trap and its application to double-strand DNA. , 2006, Physical review letters.

[62]  Pavel Zemánek,et al.  Rotation, oscillation and hydrodynamic synchronization of optically trapped oblate spheroidal microparticles. , 2014, Optics express.

[63]  Simon Hanna,et al.  Optimal hydrodynamic synchronization of colloidal rotors. , 2013, Physical review letters.