Abstract

Generation and dynamic switching of optical vortices from charge 1 up to charge 6 at wavelength of 0.6328μm by one dynamic gamma-correction liquid crystal spiral phase plate are reported. The liquid crystal spiral phase plate comprises 46 slices, which are driven by a 16-channel voltage output card. The spiral phase plate was designed based on the relationship between the topological charge purity of an optical vortex generated by the spiral phase plate and the total number of slices. The calculation results show that a minimum slice number of 44 is required for generating optical vortices up to charge 6 with charge purity above 94%.

© 2005 Optical Society of America

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    [Crossref]

2005 (1)

2004 (5)

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

C. Rotschild , S. Zommer , S. Moed , O. Hershcovitz , and S. G. Lipson , “ Adjustable spiral phase plate ,” Appl. Opt.   43 , 2397 ( 2004 ).
[Crossref] [PubMed]

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

K. Sueda , G. Miyaji , N. Miyanaga , and M. Nakatsuka , “ Laguerre-Gaussian beam generated with a multilevel spiral phase plate for high intensity laser pulses ,” Opt. Express   12 , 3548 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3548 .
[Crossref] [PubMed]

Q. Wang , X. W. Sun , and P. Shum , “ Generating doughnut-shaped beams with large charge numbers by use of liquid-crystal spiral phase plates ,” Appl. Opt.   43 , 2292 ( 2004 ).
[Crossref] [PubMed]

2003 (1)

2002 (5)

2001 (4)

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[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 ( 2001 ).
[Crossref] [PubMed]

A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
[Crossref] [PubMed]

X. Xue , H. Wei , and A. G. Kirk , “ Beam analysis by fractional Fourier transform ,” Opt. Lett.   26 , 1746 ( 2001 ).
[Crossref]

2000 (1)

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

1999 (2)

J. Courtial and M. J. Padgett , “ Performance of a cylindrical lens mode converter for producing Laguerre- Gaussian laser modes ,” Opt. Commun.   159 , 13 ( 1999 ).
[Crossref]

Y. Song , D. Milam , and W. T. Hill , “ Long, narrow all-light atom guide ,” Opt. Lett.   24 , 1805 ( 1999 ).
[Crossref]

1998 (2)

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

1997 (2)

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
[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 ( 1997 ).
[Crossref] [PubMed]

1996 (1)

1994 (3)

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
[Crossref] [PubMed]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

1992 (1)

1991 (2)

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[Crossref]

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

1990 (1)

Allen, L.

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[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 ( 1997 ).
[Crossref] [PubMed]

Arlt, J.

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 ( 2001 ).
[Crossref] [PubMed]

Barnett, S. M.

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

Bazhenov, V. Y.

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[Crossref]

Beijersbergen, M. W.

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

Bernet, S.

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 ( 2001 ).
[Crossref] [PubMed]

Burykin, N. M.

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[Crossref]

Cheong, X. C.

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

Coerwinkel, R. P. C.

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

Courtial, J.

J. Courtial and M. J. Padgett , “ Performance of a cylindrical lens mode converter for producing Laguerre- Gaussian laser modes ,” Opt. Commun.   159 , 13 ( 1999 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[Crossref]

Courtial1, J.

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

Davidson, N.

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

Dholakia, K.

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 ( 2001 ).
[Crossref] [PubMed]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[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 ( 1997 ).
[Crossref] [PubMed]

Elie, E. R.

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

Ford, D. H.

Franke-Arnold, S.

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

Friesem, A. A.

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

Furhapter, S.

Gahagan, K. T.

Gan, X.

Ganic, K.

Gu, M.

Hain, M.

Harris, M.

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
[Crossref] [PubMed]

Harvey, E.

Hasman, E.

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

Hayes, J. P.

Heckenberg, N. R.

N. R. Heckenberg , R. G. Mcduff , C. P. Smith , and A. G. White , “ Generation of optical phase singularities by computer-generated holograms ,” Opt. Lett.   17 , 221 ( 1992 ).
[Crossref] [PubMed]

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

Hershcovitz, O.

Hill, C. A.

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
[Crossref] [PubMed]

Hill, W. T.

Hirano, T.

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
[Crossref]

Jesacher, A.

Jhe, W.

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[Crossref]

Kim, K.

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[Crossref]

Kimura, W. D.

Kirk, A. G.

Kloosterboer, J. G.

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

Kristensen, M.

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

Kuga, T.

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
[Crossref]

Kwon, N.

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[Crossref]

Leach, J.

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

Lee, W. M.

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

Lipson, S. G.

MacDonald, M. P.

M. P. MacDonald , “ Revolving interference pattern for the rotation of optically trapped particles ,” Opt. Commun.   201 , 21 ( 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 ( 2001 ).
[Crossref] [PubMed]

Mair, A.

A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
[Crossref] [PubMed]

Mancuso, A. P.

McDuff, R.

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

Mcduff, R. G.

McMahon, P. J.

McNulty, B. L.

McNulty, I.

Milam, D.

Miyaji, G.

Miyanaga, N.

Moed, S.

Nakatsuka, M.

Noritsugu Shiokawa, Y. T.

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
[Crossref]

Nugent, K. A.

Oemrawsingh1, S. S. R.

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

Oron, R.

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

Padgett, M. J.

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

J. Courtial and M. J. Padgett , “ Performance of a cylindrical lens mode converter for producing Laguerre- Gaussian laser modes ,” Opt. Commun.   159 , 13 ( 1999 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[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 ( 1997 ).
[Crossref] [PubMed]

Paterson, D.

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 ( 2001 ).
[Crossref] [PubMed]

Peele, A. G.

Petrov, D. V.

Piccirillo, B.

Ritsch-Marte, M.

Robertson, D. A.

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

Rotschild, C.

Rubinsztein-Dunlop, H.

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
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Santamato, E.

Sasada, H.

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
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Sasso, A.

Shimizu, Y.

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
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Shum, P.

Sibbett, W.

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 ( 2001 ).
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Simpson, N. B.

Smith, C. P.

N. R. Heckenberg , R. G. Mcduff , C. P. Smith , and A. G. White , “ Generation of optical phase singularities by computer-generated holograms ,” Opt. Lett.   17 , 221 ( 1992 ).
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A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
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Somalingam, S.

Song, Y.

Soskin, M. S.

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
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Stankovic, S.

Sueda, K.

Sun, X. W.

Swartzlander, G. A.

Tamm, Chr.

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
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Tapster, P. R.

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
[Crossref] [PubMed]

Taranenko, V. B.

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[Crossref]

Tidwell, S. C.

Torner, L.

Torres, J. P.

Tran, C. Q.

Tschudi, T.

Vasnetsov, M. V.

M. V. Vasnetsov , J. P. Torres , D. V. Petrov , and L. Torner , “ Observation of the orbital angular momentum spectrum of a light beam ,” Opt. Lett.   28 , 2285 ( 2003 ).
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V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[Crossref]

Vaughan, J. M.

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
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A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
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Verstegen, E. J. K.

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W’t Hooft, G.

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
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Wang, Q.

Wei, H.

Weihs, G.

A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
[Crossref] [PubMed]

Weiss, C. O.

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

White, A. G.

N. R. Heckenberg , R. G. Mcduff , C. P. Smith , and A. G. White , “ Generation of optical phase singularities by computer-generated holograms ,” Opt. Lett.   17 , 221 ( 1992 ).
[Crossref] [PubMed]

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

Woerdman, J. P.

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

Xu, Xinye

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[Crossref]

Xue, X.

Yuan, X.-C.

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

Zeilinger, A.

A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
[Crossref] [PubMed]

Zhang, L.-S.

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

Zommer, S.

Appl. Opt. (3)

Appl. Phys. Lett. (1)

X. C. Cheong , W. M. Lee , X.-C. Yuan , and L.-S. Zhang , “ Direct electron-beam writing of continuous spiral phase plates sin negative resist with high power efficiency for optical manipulation ,” Appl. Phys. Lett.   85 , 5784 ( 2004 ).
[Crossref]

J. Mod. Opt. (1)

A. G. White , C. P. Smith , N. R. Heckenberg , H. Rubinsztein-Dunlop , R. McDuff , C. O. Weiss , and Chr. Tamm , “ Interferometric measurements of phase singularities in the output of a visible laser ,” J. Mod. Opt.   38 , 2531 ( 1991 ).
[Crossref]

J. Opt. A: Pure Appl. Opt. (1)

S. S. R. Oemrawsingh1 , E. R. Elie , J. P. Woerdman , E. J. K. Verstegen , J. G. Kloosterboer , and G. W’t Hooft , “ Half-integral spiral phase plates for optical wavelengths ,” J. Opt. A: Pure Appl. Opt.   6 , S288 - S290 ( 2004 ).
[Crossref]

Nature (1)

A. Mair , A. Vaziri , G. Weihs , and A. Zeilinger , “ Entanglement of the orbital angular momentum states of photons ,” Nature   412 , 313 ( 2001 ).
[Crossref] [PubMed]

Opt. Commun. (5)

M. P. MacDonald , “ Revolving interference pattern for the rotation of optically trapped particles ,” Opt. Commun.   201 , 21 ( 2002 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

R. Oron , N. Davidson , A. A. Friesem , and E. Hasman , “ Efficient formation of pure helical laser beams ,” Opt. Commun.   182 , 205 ( 2000 ).
[Crossref]

J. Courtial and M. J. Padgett , “ Performance of a cylindrical lens mode converter for producing Laguerre- Gaussian laser modes ,” Opt. Commun.   159 , 13 ( 1999 ).
[Crossref]

M. W. Beijersbergen , R. P. C. Coerwinkel , M. Kristensen , and J. P. Woerdman , “ Helical-wavefront laser beams produced with a spiral phaseplate ,” Opt. Commun.   112 , 321 ( 1994 ).
[Crossref]

Opt. Express (3)

Opt. Lett. (8)

Phy. Rev. A (1)

Xinye Xu , K. Kim , W. Jhe , and N. Kwon , “ Efficient optical guiding of trapped cold atoms by a hollow laser beam ,” Phy. Rev. A   63 , 3401 ( 2001 ).
[Crossref]

Phys. Rev. A (1)

M. Harris , C. A. Hill , P. R. Tapster , and J. M. Vaughan , “ Laser modes with helical wave fronts ,” Phys. Rev. A   49 , 3119 ( 1994 ).
[Crossref] [PubMed]

Phys. Rev. Lett. (4)

T. Kuga , Y. T. Noritsugu Shiokawa , T. Hirano , Y. Shimizu , and H. Sasada , “ Novel optical trap of atoms with a doughnut beam ,” Phys. Rev. Lett.   78 , 4713 ( 1997 ).
[Crossref]

J. Courtial , D. A. Robertson , K. Dholakia , L. Allen , and M. J. Padgett , “ Rotational frequency shift of a light beam ,” Phys. Rev. Lett.   81 , 4828 ( 1998 ).
[Crossref]

J. Courtial , K. Dholakia , D. A. Robertson , L. Allen , and M. J. Padgett , “ Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum ,” Phys. Rev. Lett.   80 , 013601 ( 1998 ).
[Crossref]

J. Leach , M. J. Padgett , S. M. Barnett , S. Franke-Arnold , and J. Courtial1 , “ Measuring the orbital angular momentum of a single photon ,” Phys. Rev. Lett.   88 , 257901 ( 2002 ).
[Crossref] [PubMed]

Proc. SPIE (1)

V. Y. Bazhenov , N. M. Burykin , M. S. Soskin , V. B. Taranenko , and M. V. Vasnetsov , “ Holographic spectral selectors and filters based on phase gratings and planar waveguides ,” in Optical Engineering , Proc. SPIE   1574 , 148 - 153 ( 1991 ).
[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 ( 2001 ).
[Crossref] [PubMed]

Supplementary Material (2)

» Media 1: AVI (2484 KB)     
» Media 2: AVI (2346 KB)     

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Figures (7)

Fig. 1.
Fig. 1.

Phase retardation versus driving voltage of the LC cell.

Fig. 2.
Fig. 2.

(a). Photograph of a LC SPP cell; (b). Photograph of an assembled LC SPP module.

Fig. 3.
Fig. 3.

The setup for verification of optical vortex.

Fig. 4.
Fig. 4.

Fork like interference patterns corresponding to charges from 1 up to 6.

Fig. 5.
Fig. 5.

(2.06MB) Movie of dynamic switching of radial spokes interference patterns from charges 1 to 6.

Fig. 6.
Fig. 6.

Setup for observing Fraunhofer diffraction pattern of Gaussian beam passing through the LC SPP.

Fig. 7.
Fig. 7.

(1.58MB) Movie of Fraunhofer diffraction patterns of Gaussian beams passing through LC SPP with charges from 1 to 6.

Tables (1)

Tables Icon

Table 1. Minimum slice number of a SPP and the corresponding topological charge of a vortex beam generated with over 94% purity.

Equations (4)

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

f ( ϕ ) = e i mod ( s ϕ 2 π ) 2 m π s
c n = 1 2 π 0 2 π f ( ϕ ) exp ( j n ϕ ) d ϕ = 1 2 π 0 2 π e i mod ( 2 π ) 2 m π s exp ( j n ϕ ) d ϕ
u ( ρ , ϕ , z ) = F ( ρ , z ) n = + c n exp ( j n ϕ )
R = 1 c m 2

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