Abstract

This paper presents an experiment on the rotation of polystyrene microparticles 5 μm in diameter in seventh-order hypergeometric beams. A multilevel diffraction optical element was used to form such a beam. It is shown that, despite the process error in fabricating the multilevel diffraction optical element, the resulting beam is fairly efficient in transferring angular momentum to a group of polystyrene microparticles.

© 2013 Optical Society of America

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  1. J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef]
  2. J.  Turunen, A.  Vasara, A. T.  Friberg, “Holographic generation of diffraction-free beams,” Appl. Opt. 27, 3959 (1988).
    [CrossRef]
  3. R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
    [CrossRef]
  4. C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
    [CrossRef]
  5. L. M.  Soroko, “What does the term ‘light beam’ mean?” JINR Preprint E13-99-226, (Joint Institute for Nuclear Research, Dubna, Russia, 1999), p. 19.
  6. K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).
  7. S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).
  8. V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
    [CrossRef]
  9. V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
    [CrossRef]
  10. R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).
  11. S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).
  12. R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).
  13. M.  Gao, C.  Gao, Z.  Lin, “Generation and application of the twisted beam with orbital angular momentum,” Chin. Opt. Lett. 5, No. 2, 89 (2007).

2009 (1)

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

2008 (3)

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

2007 (2)

M.  Gao, C.  Gao, Z.  Lin, “Generation and application of the twisted beam with orbital angular momentum,” Chin. Opt. Lett. 5, No. 2, 89 (2007).

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

2002 (1)

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

2001 (1)

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

1999 (1)

C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
[CrossRef]

1996 (1)

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

1988 (1)

1987 (1)

J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Arlt, J.

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
[CrossRef]

Balalaev, S. A.

S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).

Boothroyd, S. A.

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

Chavez-Cerda, S.

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

Chrostowski, J.

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

Dholakia, K.

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
[CrossRef]

Durnin, J.

J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Eberly, J. J.

J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Friberg, A. T.

Gao, C.

Gao, M.

Garces-Chavez, V.

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

Khonina, S. N.

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

Kotlyar, V. V.

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

Kovalev, A. A.

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

Lin, Z.

MacDonald, R. P.

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

McQueen, C. A.

C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
[CrossRef]

Miceli, J. H.

J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Morozov, A. A.

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

Okamato, T.

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

Pääkkönen, P.

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

Simonen, J.

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

Skidanov, R. V.

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

Soifer, V. A.

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

Soroko, L. M.

L. M.  Soroko, “What does the term ‘light beam’ mean?” JINR Preprint E13-99-226, (Joint Institute for Nuclear Research, Dubna, Russia, 1999), p. 19.

Syrett, B. A.

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

Turunen, J.

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Generating hypergeometric laser beams with diffractive optical elements,” Appl. Opt. 47, 6124 (2008).
[CrossRef]

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

J.  Turunen, A.  Vasara, A. T.  Friberg, “Holographic generation of diffraction-free beams,” Appl. Opt. 27, 3959 (1988).
[CrossRef]

Vasara, A.

Volke-Sepulveda, K.

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

Am. J. Phys. (1)

C. A.  McQueen, J.  Arlt, K.  Dholakia, “An experiment to study a ‘nondiffracting’ light beam,” Am. J. Phys. 67, 912 (1999).
[CrossRef]

Appl. Opt. (2)

Chin. Opt. Lett. (1)

Izv. Samarsk. NTs RAN (1)

S. A.  Balalaev, S. N.  Khonina, R. V.  Skidanov, “Studying the possibility of forming hypergeometric laser beams by diffraction optics,” Izv. Samarsk. NTs RAN No. 10(3), 694 (2008).

J. Mod. Opt. (1)

S. N.  Khonina, V. V.  Kotlyar, V. A.  Soifer, P.  Pääkkönen, J.  Simonen, J.  Turunen, “An analysis of the angular momentum of a light field in terms of angular harmonics,” J. Mod. Opt. 48, 1543 (2001).

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

V. V.  Kotlyar, A. A.  Kovalev, R. V.  Skidanov, S. N.  Khonina, J.  Turunen, “Encoded binary diffractive element to form hypergeometric laser beams,” J. Opt. A, Pure Appl. Opt. 11, 065702 (2009).
[CrossRef]

J. Opt. B (1)

K.  Volke-Sepulveda, V.  Garces-Chavez, S.  Chavez-Cerda, J.  Arlt, K.  Dholakia, “Orbital angular momentum of a high-order Bessel light beam,” J. Opt. B 4, S82 (2002).

Komp’yut. Optika (2)

R. V.  Skidanov, S. N.  Khonina, A. A.  Morozov, V. V.  Kotlyar, “Calculating the force that acts on a spherical microobject in hypergeometric beams,” Komp’yut. Optika 32, No. 1, 39 (2008).

R. V.  Skidanov, S. N.  Khonina, V. V.  Kotlyar, V. A.  Soĭfer, “Experimental study of the motion of dielectric spheres in light beams with high-order angular harmonics,” Komp’yut. Optika 31, 14 (2007).

Opt. Commun. (1)

R. P.  MacDonald, S. A.  Boothroyd, T.  Okamato, J.  Chrostowski, B. A.  Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun. 122, 169 (1996).
[CrossRef]

Phys. Rev. Lett. (1)

J.  Durnin, J. J.  Eberly, J. H.  Miceli, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Other (1)

L. M.  Soroko, “What does the term ‘light beam’ mean?” JINR Preprint E13-99-226, (Joint Institute for Nuclear Research, Dubna, Russia, 1999), p. 19.

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