Measurement of orbital angular momentum in optical tweezers

Several techniques have been proposed and used for the rotation or alignment of microparticles in optical tweezers. In every case the optical torque results from the exchange of angular momentum between the beam and the particle, and, in principle, can be measured by purely optical means. Measurement of this torque could be useful for quantitative measurements in biological systems and is required to measure properties such as viscosity of liquids in microlitre (or less) volumes. Although elongated particles will align with the plane of polarisation, the torque efficiency is low, typically about 0.05hbar per photon. The use of a beam with an elongated focal spot can increase this torque by a factor of 10-20 times, due to the transfer of orbital angular momentum. We report measurements of the orbital component using an analysing (Laguerre-Gauss) hologram. As a proof of principle experiment, an elliptical beam scattered off a glass rod was simulated on a macroscopic scale. The torque was found to be as much as 0.8hbar per photon. Microscopic elongated objects have been aligned and rotated in optical tweezers and we plan to make measurements of the torques involved.

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

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

[3]  Optically induced angular alignment of birefringent micro-objects by linear polarization , 1998 .

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

[5]  James H. Crichton,et al.  THE MEASURABLE DISTINCTION BETWEEN THE SPIN AND ORBITAL ANGULAR MOMENTA OF ELECTROMAGNETIC RADIATION , 2000 .

[6]  Samarendra K. Mohanty,et al.  Controlled rotation of biological microscopic objects using optical line tweezers , 2003, Biotechnology Letters.

[7]  H. Rubinsztein-Dunlop,et al.  Optical alignment and spinning of laser-trapped microscopic particles , 1998, Nature.

[8]  Norman R. Heckenberg,et al.  Optical Particle Trapping with Higher-order Doughnut Beams Produced Using High Efficiency Computer Generated Holograms , 1995 .

[9]  G. Nienhuis,et al.  Commutation rules and eigenvalues of spin and orbital angular momentum of radiation fields , 1994 .

[10]  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.

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

[12]  H. Rubinsztein-Dunlop,et al.  Optical angular-momentum transfer to trapped absorbing particles. , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[14]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[15]  S. Barnett,et al.  Measuring the orbital angular momentum of a single photon. , 2002, Physical review letters.

[16]  John Henry Poynting,et al.  The wave motion of a revolving shaft, and a suggestion as to the angular momentum in a beam of circularly polarised light , 1909 .

[17]  J. P. Woerdman,et al.  Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[18]  Enrico Santamato,et al.  Optical angular momentum transfer to transparent isotropic particles using laser beam carrying zero average angular momentum. , 2002, Optics express.

[19]  H. Rubinsztein-Dunlop,et al.  Laser beams with phase singularities , 1992 .

[20]  Norman R. Heckenberg,et al.  Computational modeling of optical tweezers , 2004, SPIE Optics + Photonics.

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

[22]  H. Rubinsztein-Dunlop,et al.  Orientation of biological cells using plane-polarized gaussian beam optical tweezers , 2003 .

[23]  A. Vaziri,et al.  Entanglement of the orbital angular momentum states of photons , 2001, Nature.

[24]  H. Rubinsztein-Dunlop,et al.  Orientation of biological cells using plane-polarized Gaussian beam optical tweezers , 2003, physics/0308105.

[25]  S. Chu,et al.  Observation of a single-beam gradient force optical trap for dielectric particles. , 1986, Optics letters.

[26]  J. Humblet,et al.  Sur le moment d'impulsion d'une onde électromagnétique , 1943 .

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

[28]  Optical measurement of torque exerted on an elongated object by a noncircular laser beam , 2004, physics/0403008.