L

L. Allen

University of Melbourne

Publishes on Orbital Angular Momentum in Optics, Experimental and Theoretical Physics Studies, Cold Atom Physics and Bose-Einstein Condensates. 62 papers and 20.8k citations.

62Publications
20.8kTotal Citations

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Top publicationsby citations

Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes
L. Allen, Marco W. Beijersbergen, R. J. C. Spreeuw et al.|Physical Review A|1992
Cited by 10.2k

Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum. An astigmatic optical system may be used to transform a high-order Laguerre-Gaussian mode into a high-order Hermite-Gaussian mode reversibly. An experiment is proposed to measure the mechanical torque induced by the transfer of orbital angular momentum associated with such a transformation.

Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner
N. B. Simpson, Kishan Dholakia, L. Allen et al.|Optics Letters|1997
Cited by 1.1k

We use a Laguerre-Gaussian laser mode within an optical tweezers arrangement to demonstrate the transfer of the orbital angular momentum of a laser mode to a trapped particle. The particle is optically confined in three dimensions and can be made to rotate; thus the apparatus is an optical spanner. We show that the spin angular momentum of +/-?per photon associated with circularly polarized light can add to, or subtract from, the orbital angular momentum to give a total angular momentum. The observed cancellation of the spin and orbital angular momentum shows that, as predicted, a Laguerre-Gaussian mode with an azimuthal mode index l=1 has a well-defined orbital angular momentum corresponding to ? per photon.

Intrinsic and Extrinsic Nature of the Orbital Angular Momentum of a Light Beam
Anna T. O’Neil, I. MacVicar, L. Allen et al.|Physical Review Letters|2002
Cited by 997

We explain that, unlike the spin angular momentum of a light beam which is always intrinsic, the orbital angular momentum may be either extrinsic or intrinsic. Numerical calculations of both spin and orbital angular momentum are confirmed by means of experiments with particles trapped off axis in optical tweezers, where the size of the particle means it interacts with only a fraction of the beam profile. Orbital angular momentum is intrinsic only when the interaction with matter is about an axis where there is no net transverse momentum.