Abstract

Laguerre-Gaussian (LG) beams are important in optical micromanipulation. We show that optically trapped microparticles within a monochromatic LG beam may lead to the formation of unique intensity patterns in the far field due to multiple interference of the forward scattered light from each particle. Trapped colloids create far field interference that exhibits distinct spiral wave patterns that are directly correlated to the helicity of the LG beam. Using two trapped particles, we demonstrate the first microscopic version of a Young’s slits type experiment and detect the azimuthal phase variation around the LG beam circumference. This novel technique may be implemented to study the relative phase and spatial coherence of two points in trapping light fields with arbitrary wavefronts.

© 2006 Optical Society of America

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2006 (4)

2005 (4)

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005)
[CrossRef] [PubMed]

J.  Leach, M. R.  Dennis, J.  Courtial and M. J.   Padgett, "Vortex knots in light," New J. Phys.  7, 55 (2005).
[CrossRef]

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

2004 (3)

G. A. Swartzlander, Jr. and J. Schmit, "Temporal correlation vortices and topological dispersion," Phys. Rev. Lett. 93, 093901(2004).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

K. Ladavac and D. G. Grier, "Microoptomechanical pump assembled and driven by holographic optical vortex arrays," Opt Express 12, 1144-1149 (2004).
[CrossRef] [PubMed]

2003 (3)

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

J. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett 90, 133901 (2003)
[CrossRef] [PubMed]

J. E. Curtis and D. G. Grier, "Modulated optical vortices," Opt Lett 28, 872-874 (2003).
[CrossRef] [PubMed]

2002 (1)

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

2001 (4)

J.  Masajada and B.  Dubik, "Optical vortex generation by three plane wave interference," Opt. Commun.  198, 21-27 (2001)
[CrossRef]

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

1999 (1)

K.T. Gahagan and G.A. Swartzlander, Jr, "Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap," J. Opt. Soc. Am. B. 16, 533-537 (1999)
[CrossRef]

1997 (2)

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

D. Rozas, C.T. Law, G.A. Swartzlander, Jr., "Propagation dynamics of optical vortices," J. Opt. Soc. Am. B 14, 3054-3065 (1997)
[CrossRef]

1995 (1)

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

1993 (1)

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

1992 (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

1986 (2)

J. -P. Chevaillier, J. Fabre, and P. Hamelin, "Forward scattered light intensities by a sphere located anywhere in a Gaussian beam," Appl Opt 25,1222-1225 (1986)
[CrossRef] [PubMed]

A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, "Observation of a single-beam gradient force optical trap for dielectric particles," Opt. Lett. 11, 288-290 (1986)
[CrossRef] [PubMed]

1975 (1)

1974 (1)

J. F.  Nye and M. V.  Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A  336,165-90 (1974).
[CrossRef]

Allen, L.

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

Arlt, J.

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Ashkin, A.

Bandres, M. A.

Bartal, G.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

Bentley, J. B.

Bergquist, J.C.

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Bernet, S

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

Berry, M. V.

J. F.  Nye and M. V.  Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A  336,165-90 (1974).
[CrossRef]

Bjorkholm, J. E.

Bollinger, J.J

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Brown, C. T. A.

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Chávez-Cerda, S.

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

Chevaillier, J. -P.

J. -P. Chevaillier, J. Fabre, and P. Hamelin, "Forward scattered light intensities by a sphere located anywhere in a Gaussian beam," Appl Opt 25,1222-1225 (1986)
[CrossRef] [PubMed]

Chikkatur, A. P.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Christodoulides, D.N.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

Chu, S.

Courtial, J.

J.  Leach, M. R.  Dennis, J.  Courtial and M. J.   Padgett, "Vortex knots in light," New J. Phys.  7, 55 (2005).
[CrossRef]

Curtis, J.

J. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett 90, 133901 (2003)
[CrossRef] [PubMed]

Curtis, J. E.

J. E. Curtis and D. G. Grier, "Modulated optical vortices," Opt Lett 28, 872-874 (2003).
[CrossRef] [PubMed]

Davis, J. A.

Dennis, M. R.

Dholakia, K.

C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, "Orbital angular momentum transfer in helical Mathieu beams," Opt. Express 14, 4183-4188 (2006)
[CrossRef] [PubMed]

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005)
[CrossRef] [PubMed]

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

Dubik, B.

J.  Masajada and B.  Dubik, "Optical vortex generation by three plane wave interference," Opt. Commun.  198, 21-27 (2001)
[CrossRef]

Dultz, W.

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

Dziedzic, J. M.

Eichmann, U.

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Fabre, J.

J. -P. Chevaillier, J. Fabre, and P. Hamelin, "Forward scattered light intensities by a sphere located anywhere in a Gaussian beam," Appl Opt 25,1222-1225 (1986)
[CrossRef] [PubMed]

Fischer, P.

Fleischer, J.W.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

Freedman, B.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

Friese, M. E. J.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Furhapter, S

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

Gahagan, K.T.

K.T. Gahagan and G.A. Swartzlander, Jr, "Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap," J. Opt. Soc. Am. B. 16, 533-537 (1999)
[CrossRef]

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

Gilligan, J.M

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Görlitz, A.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Grier, D. G.

K. Ladavac and D. G. Grier, "Microoptomechanical pump assembled and driven by holographic optical vortex arrays," Opt Express 12, 1144-1149 (2004).
[CrossRef] [PubMed]

J. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett 90, 133901 (2003)
[CrossRef] [PubMed]

J. E. Curtis and D. G. Grier, "Modulated optical vortices," Opt Lett 28, 872-874 (2003).
[CrossRef] [PubMed]

Gupta, S.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Gustavson, T. L.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Gutiérrez-Vega, J. C.

Hamelin, P.

J. -P. Chevaillier, J. Fabre, and P. Hamelin, "Forward scattered light intensities by a sphere located anywhere in a Gaussian beam," Appl Opt 25,1222-1225 (1986)
[CrossRef] [PubMed]

Hanson, S.G.

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

He, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Heckenberg, N. R.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Inouye, S.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Itano, W.M.

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Jesacher, A

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

Ketterle, W.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Ladavac, K.

K. Ladavac and D. G. Grier, "Microoptomechanical pump assembled and driven by holographic optical vortex arrays," Opt Express 12, 1144-1149 (2004).
[CrossRef] [PubMed]

Law, C.T.

Leach, J.

J.  Leach, M. R.  Dennis, J.  Courtial and M. J.   Padgett, "Vortex knots in light," New J. Phys.  7, 55 (2005).
[CrossRef]

Leanhardt, A. E.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Lifshitz, R.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

López-Mariscal, C.

MacDonald, M. P.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

Maleev, I. D.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

Marathay, A. S.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

Masajada, J.

J.  Masajada and B.  Dubik, "Optical vortex generation by three plane wave interference," Opt. Commun.  198, 21-27 (2001)
[CrossRef]

McGloin, D.

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

Milne, G.

Miyamoto, Y.

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

Morris, J. E.

Nye, J. F.

J. F.  Nye and M. V.  Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A  336,165-90 (1974).
[CrossRef]

O'Holleran, K.

Padgett, M. J.

K. O'Holleran, M. J. Padgett, and M. R. Dennis, "Topology of optical vortex lines formed by the interference of three, four, and five plane waves," Opt. Express 14, 3039-3044 (2006)
[CrossRef]

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

Padgett, M. J.

J.  Leach, M. R.  Dennis, J.  Courtial and M. J.   Padgett, "Vortex knots in light," New J. Phys.  7, 55 (2005).
[CrossRef]

Padgett, M.J.

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

Palacios, D. M.

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

Paterson, L.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Pritchard, D. E.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Raizen, M.G

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Ritsch-Marte, M.

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

Rosenband, T.

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

Rozas, D.

Rubinsztein-Dunlop, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Schmit, J.

G. A. Swartzlander, Jr. and J. Schmit, "Temporal correlation vortices and topological dispersion," Phys. Rev. Lett. 93, 093901(2004).
[CrossRef] [PubMed]

Schmitzer, H.

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

Segev, M.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

Sibbett, W.

P. Fischer, C. T. A. Brown, J. E. Morris, C. López-Mariscal, E. M. Wright, W. Sibbett and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005)
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Siegman, A. E.

Simpson, N. B.

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

Swartzlander, G. A.

G. A. Swartzlander, Jr. and J. Schmit, "Temporal correlation vortices and topological dispersion," Phys. Rev. Lett. 93, 093901(2004).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

Swartzlander, G.A.

K.T. Gahagan and G.A. Swartzlander, Jr, "Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap," J. Opt. Soc. Am. B. 16, 533-537 (1999)
[CrossRef]

D. Rozas, C.T. Law, G.A. Swartzlander, Jr., "Propagation dynamics of optical vortices," J. Opt. Soc. Am. B 14, 3054-3065 (1997)
[CrossRef]

Sziklas, E. A.

Takeda, M.

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

Volke-Sepulveda, K

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

Wang, W.

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

Wineland, D.J

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

Wright, E. M.

Zeilinger, A.

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

Appl Opt (1)

J. -P. Chevaillier, J. Fabre, and P. Hamelin, "Forward scattered light intensities by a sphere located anywhere in a Gaussian beam," Appl Opt 25,1222-1225 (1986)
[CrossRef] [PubMed]

Appl. Opt. (1)

J. Opt. B: Quantum Semiclass Opt. (1)

K Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt and K. Dholakia, "Orbital angular momentum of a high-order Bessel light beam," J. Opt. B: Quantum Semiclass Opt. 4, S82-S89 (2002)
[CrossRef]

J. Opt. Soc. Am. B (1)

J. Opt. Soc. Am. B. (1)

K.T. Gahagan and G.A. Swartzlander, Jr, "Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap," J. Opt. Soc. Am. B. 16, 533-537 (1999)
[CrossRef]

Nature (2)

A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001).
[CrossRef] [PubMed]

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D.N. Christodoulides and J.W. Fleischer, "Wave and defect dynamics in nonlinear photonic quasicrystals," Nature 440, 1166-1169 (2006)
[CrossRef] [PubMed]

New J. Phys. (1)

J.  Leach, M. R.  Dennis, J.  Courtial and M. J.   Padgett, "Vortex knots in light," New J. Phys.  7, 55 (2005).
[CrossRef]

Opt Express (1)

K. Ladavac and D. G. Grier, "Microoptomechanical pump assembled and driven by holographic optical vortex arrays," Opt Express 12, 1144-1149 (2004).
[CrossRef] [PubMed]

Opt Lett (2)

N. B. Simpson, K. Dholakia, L. Allen and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: An optical spanner," Opt Lett 22,52-54 (1997)
[CrossRef] [PubMed]

J. E. Curtis and D. G. Grier, "Modulated optical vortices," Opt Lett 28, 872-874 (2003).
[CrossRef] [PubMed]

Opt. Commun. (1)

J.  Masajada and B.  Dubik, "Optical vortex generation by three plane wave interference," Opt. Commun.  198, 21-27 (2001)
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Phys Rev Lett (1)

U. Eichmann, J.C. Bergquist, J.J Bollinger, J.M Gilligan, W.M. Itano, D.J Wineland, M.G Raizen, "Young's interference experiment with light scattered from two atoms," Phys Rev Lett  70, 2359-2362 (1993). 
[CrossRef] [PubMed]

Phys. Rev. A (1)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992)
[CrossRef] [PubMed]

Phys. Rev. Lett (1)

J. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett 90, 133901 (2003)
[CrossRef] [PubMed]

Phys. Rev. Lett. (7)

W. Wang, S.G. Hanson, Y. Miyamoto and M. Takeda, "Experimental investigation of local properties and statistics of optical vortices in random wave fields," Phys. Rev. Lett. 94, 103902 (2005)
[CrossRef] [PubMed]

A Jesacher, S Furhapter, S Bernet, M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005)
[CrossRef] [PubMed]

G. A. Swartzlander, Jr. and J. Schmit, "Temporal correlation vortices and topological dispersion," Phys. Rev. Lett. 93, 093901(2004).
[CrossRef] [PubMed]

D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr, "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004)
[CrossRef] [PubMed]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser Beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Görlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, "Observation of vortex phase singularities in Bose-Einstein Condensates," Phys. Rev. Lett. 87,080402 (2001)
[CrossRef] [PubMed]

V. Garcés-Chávez, D. McGloin, M.J. Padgett, W. Dultz, H. Schmitzer and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multi-ringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003),
[CrossRef] [PubMed]

Proc. R. Soc. London Ser. A (1)

J. F.  Nye and M. V.  Berry, "Dislocations in wave trains," Proc. R. Soc. London Ser. A  336,165-90 (1974).
[CrossRef]

Science (1)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
[CrossRef] [PubMed]

Other (1)

<other> J.M.R. Fournier, M.M. Burns, J..A. Golovchenko, "Writing Diffractive Structures by Optical Trapping," Proc SPIE -Int Soc Opt Eng 2406, 101-111 (1995)</other>

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Figures (7)

Fig. 1.
Fig. 1.

(A) shows the scattering geometry of nine disks placed off the central axis of the LG03 beam (red annular ring). bo denote the beam waist of the LG beam and d denotes the distances from the beam to the microsphere (treated as a diffracting disk) and ZR denotes far-field. The scattering geometry are calculated in Cartesian coordinates (x,y,z). (B) to (E) shows the numerical simulation of interference between the nine Mie spheres placed off the beam axis of LG03 beam as it propagates to the far-field, ZR denotes far-field.

Fig. 2.
Fig. 2.

Experimental setup. A TEM00 beam is directed onto a high efficiency blazed Computer Generated Hologram (CGH) that creates a LG beam in its first order of azimuthal index l=3 and p=0 that diffracts at an angle to the incident beam. The LG beam expanded to fill approximately the back aperture of the plano-convex lens, L1 of focal length 25.4mm. The diffraction pattern is collected from OB, 60X microscope objective (NA = 0.85), and relay far-field diffraction pattern of the colloids onto the imaging CCD through a second plano-convex lens, L2 of focal length 50mm, at its focal plane (Fraunhofer diffraction patterns). Inset: LG beam (l=3 and p=0) trapping 9 spheres, each of diameter 6.84μm.

Fig. 3.
Fig. 3.

(A-E) , LG beam (l=3, p=0) trapping 2 to six silica colloids of 6.84μm around its annular intensity profile in a controlled manner using optical gradient forces.

Fig. 4.
Fig. 4.

shows the simulation and experimental results of the spiral wave pattern. (A), (C) (simulation) and (B), (D) (experiment). The spiral intensity arms indicate the helicity of the trapping light. (A) and (B) are for as trapping beam of l=+3, (C) and (D) l=-3. The nine spiral arms correspond to the nine colloids trapped along the annular intensity profile, denoted by the red lines.

Fig. 5.
Fig. 5.

(A, B,C, D, E) shows the (i) simulation of the intensity , (ii) simulation of the phase map and (iii) experiment of the far-field diffraction pattern of two, three, four, five, six microspheres filling up the annular intensity ring respectively. (F) shows the full circular colloidal crystals formed in the annular intensity ring, fully filled with nine spheres (see inset of Fig. 2). The red spot & dotted lines denote the high intensity regions in the far-field pattern on the simulation and experimental results. On the other hand, the low intensity regions (around the high intensity regions) contain several unity charged vortices.

Fig. 6.
Fig. 6.

is a schematic illustration of two spheres trapped on opposite sides of a LG beam with a linear helical phase ramp varying from 0 to 2π (l=1) around the mode circumference

Fig. 7.
Fig. 7.

Microscopic Young’s slits with optically trapped particles. (A) and (B) shows far-field diffraction (simulation) of two colloids trapped in a Gaussian beam and a LG beam (l=1, p=0), (C) and (D) shows the experimental results respectively. Red line indicates the shift in the fringes due to the π phase between the two opposing points in the LG beam.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

E ( x , y , z ) = 1 2 π E x 0 y 0 0 . e i k x i k y e ( i ( 2 π λ ) 2 k x 2 k y 2 ) Δ z d k x d k y
I cos 2 ( α 2 + Δϕ 2 )

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