Abstract

Propagations of coherent and partially coherent flat-topped beams through a focusing optical system are formulated. The radiation force on a Rayleigh dielectric sphere induced by focused coherent and partially coherent flat-topped beams is investigated theoretically. It is found that we can increase the transverse trapping range at the planes near the focal plane by increasing the flatness (i.e., beam order) of the flat-topped beam, and increase the transverse and longitudinal trapping ranges at the focal plane by decreasing the initial coherence of the flat-topped beam. Moreover the trapping stiffness of flat-topped beam becomes lower as the beam order increases or the initial coherence decreases. The trapping stability is also analyzed.

© 2009 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  25. M. Alavinejad and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Opt. Lasers Eng. 46, 357-362 (2008).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  36. C. Day, "Optical trap resolves the stepwise transfer of genetic information from DNA to RNA," Phys. Today. 59, 26-27 (2006).
    [CrossRef]
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    [CrossRef]
  38. C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).
  39. J. Y. Ye. G. Q. Chang. T. B. Norris, C. Tse, M. J. Zohdy. K. W. Hollman, M. O’Donnell, and J. R. Baker, "Trapping cavitation bubbles with a self-focused laser beam," Opt. Lett. 29, 2136- 2138 (2004).
    [CrossRef] [PubMed]
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  41. J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).
  42. T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]

2008

M. Alavinejad and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Opt. Lasers Eng. 46, 357-362 (2008).
[CrossRef]

M. Alavinejad, B. Ghafary, and D. Razzaghi, "Spectral changes of partially coherent flat topped beam in turbulent atmosphere," Opt. Commun. 281, 2173-2178 (2008).
[CrossRef]

F. Wang and Y. Cai, "Experimental generation of a partially coherent flat-topped beam," Opt. Lett. 33, 1795-1797 (2008).
[CrossRef] [PubMed]

2007

Y. Baykal and H. T. Eyyuboğlu, "Scintillations of incoherent flat-topped Gaussian source field in turbulence," Appl. Opt. 46, 5044-5050 (2007).
[CrossRef] [PubMed]

X. Lü and Y. Cai, "Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system," Opt. Commun. 269, 39-46 (2007).
[CrossRef]

M. Bhattacharya and P. Meystre, "Using a Laguerre-Gaussian Beam to Trap and Cool the Rotational Motion of a Mirror," Phys. Rev. Lett. 99, 153603 (2007).
[CrossRef] [PubMed]

L. G. Wang, C. L. Zhao, L. Q. Wang, X. H. Lu, and S. Y. Zhu, "Effect of spatial coherence on radiation forces acting on a Rayleigh dielectric sphere," Opt. Lett. 32, 1393-1395 (2007).
[CrossRef] [PubMed]

L. G. Wang and C. L. Zhao, "Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh dielectric sphere," Opt. Express. 15, 10615-10621 (2007).
[CrossRef] [PubMed]

2006

G. Wu, H. Guo, and D. Deng, "Paraxial propagation of partially coherent flat-topped beam," Opt. Commun. 260, 687-690 (2006).
[CrossRef]

Y. Cai and S. He, "Partially coherent flattened Gaussian beam and its paraxial propagation properties," J. Opt. Soc. Am. A 23, 2623-2628 (2006).
[CrossRef]

Y. Zhang, B. Zhang, and Q. Wen, "Changes in the spectrum of partially coherent flat-top light beam propagating in dispersive or gain media," Opt. Commun. 266, 407-412 (2006).
[CrossRef]

L. Oroszi L, P. Galajda, H. Kirei, S. Bottka, and P. Ormos, "Direct measurement of torque in an optical trap and its application to double-strand DNA," Phys. Rev. Lett. 97, 058301 (2006).
[CrossRef] [PubMed]

C. Day, "Optical trap resolves the stepwise transfer of genetic information from DNA to RNA," Phys. Today. 59, 26-27 (2006).
[CrossRef]

H. T. Eyyuboğlu, A. Arpali, and Y. Baykal, "Flat topped beams and their characteristics in turbulent media," Opt. Express 14, 4196-4207 (2006).
[CrossRef] [PubMed]

Y. Baykal and H. T. Eyyuboğlu, "Scintillation index of flat-topped Gaussian beams," Appl. Opt. 45, 3793-3797 (2006).
[CrossRef] [PubMed]

Y. Cai, "Propagation of various flat-topped beams in a turbulent atmosphere," J. Opt. A: Pure Appl. Opt. 8, 537-545 (2006).
[CrossRef]

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

2005

S. Chu, J. E. Bjorkholm, A. Ashkin, and A. Cable, "Experimental observation and manipulation of stuck particles with pulsed optical tweezers," Opt. Lett. 30, 1797-1799 (2005).
[CrossRef]

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

2004

Q. Zhan, "Trapping metallic Rayleigh particles with radial polarization," Opt. Express 12, 3377-3382 (2004).
[CrossRef] [PubMed]

C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).

J. Y. Ye. G. Q. Chang. T. B. Norris, C. Tse, M. J. Zohdy. K. W. Hollman, M. O’Donnell, and J. R. Baker, "Trapping cavitation bubbles with a self-focused laser beam," Opt. Lett. 29, 2136- 2138 (2004).
[CrossRef] [PubMed]

Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
[CrossRef]

2003

Y. Cai and Q. Lin, "Properties of a flattened Gaussian beam in the fractional Fourier transform plane," J. Opt. A: Pure Appl. Opt. 5, 272-275 (2003).
[CrossRef]

X. Ji and B. Lu, "Focal shift and focal switch of flattened Gaussian beams in passage through an apertured bifocal lens," IEEE J. Quantum Electron. 39, 172-178 (2003).
[CrossRef]

2002

Y. Li, "Light beam with flat-topped profiles," Opt. Lett. 27, 1007-1009 (2002).
[CrossRef]

L. Wang and J. Xue, "Efficiency comparison analysis of second harmonic generation on flattened Gaussian and Gaussian beams through a crystal CsLiB6O10," Jpn. J. Appl. Phys. 41, 7373-7376 (2002).
[CrossRef]

D. W. Coutts, "Double-pass copper vapor laser master-oscillator power-amplifier systems: Generation of flat-top focused beams for fiber coupling and percussion drilling," IEEE J. Quantum Electron. 38, 1217-1224 (2002).
[CrossRef]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).
[CrossRef]

2001

J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).

A. A. Tovar, "Propagation of flat-topped multi-Gaussian laser beams," J. Opt. Soc. Am. A 18, 1897-1904 (2001).
[CrossRef]

R. Borghi, "Elegant Laguerre-Gauss beams as a new tool for describing axisymmetric flattened Gaussian beams," J. Opt. Soc. Am. A. 18, 1627-1633 (2001).
[CrossRef]

2000

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

1999

K. Okamoto and S. Kawata, "Radiation Force Exerted on Subwavelength Particles near a Nanoaperture," Phys. Rev. Lett. 83, 4534-4537 (1999).
[CrossRef]

1998

P. Zemanek and C. J. Foot, "Atomic dipole trap formed by blue detuned strong Gaussian standing wave," Opt. Commun. 146, 119-123 (1998).
[CrossRef]

R. Borghi, M. Santarsiero, and S. Vicalvi, "Focal shift of focused flat-topped beams," Opt. Commun. 154, 243-48 (1998).
[CrossRef]

R. Borghi and M. Santarsiero, "Modal decomposition of partially coherent flat-topped beams produced by multimode lasers," Opt. Lett. 23, 313-315 (1998).
[CrossRef]

1996

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, and M. Santarsiero, "Propagation of axially symmetric flattened Gaussian beams," J. Opt. Soc. Am. A 13, 1385-1394 (1996).
[CrossRef]

S. A. Amarande, "Beam propagation factor and the kurtosis parameter of flattened Gaussian beams," Opt. Commun. 129, 311-317 (1996).

1994

F. Gori, "Flattened gaussian beams," Opt. Commun. 107, 335-341 (1994).
[CrossRef]

1992

1990

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

1986

1978

A. Ashkin, "Trapping of atoms by resonance radiation pressure," Phys. Rev. Lett. 40, 729-732 (1978).
[CrossRef]

1970

A. Ashkin, "Acceleration and trapping of particles by radiation force," Phys. Rev. Lett. 24, 156-159 (1970).
[CrossRef]

J. A. Arnaud, "Nonorthogonal optical waveguides and resonators," Bell Syst. Tech. J. 49, 2311-2348 (1970).

Abraham, E. R. I.

J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).

Alavinejad, M.

M. Alavinejad and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Opt. Lasers Eng. 46, 357-362 (2008).
[CrossRef]

M. Alavinejad, B. Ghafary, and D. Razzaghi, "Spectral changes of partially coherent flat topped beam in turbulent atmosphere," Opt. Commun. 281, 2173-2178 (2008).
[CrossRef]

Alda, J.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

Amarande, S. A.

S. A. Amarande, "Beam propagation factor and the kurtosis parameter of flattened Gaussian beams," Opt. Commun. 129, 311-317 (1996).

Arnaud, J. A.

J. A. Arnaud, "Nonorthogonal optical waveguides and resonators," Bell Syst. Tech. J. 49, 2311-2348 (1970).

Arpali, A.

Asakura, T.

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

Ashkin, A.

Bagini, V.

Baykal, Y.

Bernabeu, E.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

Bhattacharya, M.

M. Bhattacharya and P. Meystre, "Using a Laguerre-Gaussian Beam to Trap and Cool the Rotational Motion of a Mirror," Phys. Rev. Lett. 99, 153603 (2007).
[CrossRef] [PubMed]

Bjorkholm, J. E.

Block Lawrence, S. B.

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Borghi, R.

R. Borghi, "Elegant Laguerre-Gauss beams as a new tool for describing axisymmetric flattened Gaussian beams," J. Opt. Soc. Am. A. 18, 1627-1633 (2001).
[CrossRef]

R. Borghi and M. Santarsiero, "Modal decomposition of partially coherent flat-topped beams produced by multimode lasers," Opt. Lett. 23, 313-315 (1998).
[CrossRef]

R. Borghi, M. Santarsiero, and S. Vicalvi, "Focal shift of focused flat-topped beams," Opt. Commun. 154, 243-48 (1998).
[CrossRef]

V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, and M. Santarsiero, "Propagation of axially symmetric flattened Gaussian beams," J. Opt. Soc. Am. A 13, 1385-1394 (1996).
[CrossRef]

Bowers, M. S.

Cable, A.

Cai, Y.

F. Wang and Y. Cai, "Experimental generation of a partially coherent flat-topped beam," Opt. Lett. 33, 1795-1797 (2008).
[CrossRef] [PubMed]

X. Lü and Y. Cai, "Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system," Opt. Commun. 269, 39-46 (2007).
[CrossRef]

Y. Cai and S. He, "Partially coherent flattened Gaussian beam and its paraxial propagation properties," J. Opt. Soc. Am. A 23, 2623-2628 (2006).
[CrossRef]

Y. Cai, "Propagation of various flat-topped beams in a turbulent atmosphere," J. Opt. A: Pure Appl. Opt. 8, 537-545 (2006).
[CrossRef]

Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
[CrossRef]

Y. Cai and Q. Lin, "Properties of a flattened Gaussian beam in the fractional Fourier transform plane," J. Opt. A: Pure Appl. Opt. 5, 272-275 (2003).
[CrossRef]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).
[CrossRef]

Chen, C. H.

C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).

Chen, Z.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Chu, S.

Chuu, C.

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Coutts, D. W.

D. W. Coutts, "Double-pass copper vapor laser master-oscillator power-amplifier systems: Generation of flat-top focused beams for fiber coupling and percussion drilling," IEEE J. Quantum Electron. 38, 1217-1224 (2002).
[CrossRef]

Day, C.

C. Day, "Optical trap resolves the stepwise transfer of genetic information from DNA to RNA," Phys. Today. 59, 26-27 (2006).
[CrossRef]

Deng, D.

G. Wu, H. Guo, and D. Deng, "Paraxial propagation of partially coherent flat-topped beam," Opt. Commun. 260, 687-690 (2006).
[CrossRef]

Devreese, J. T.

J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).

Dziezic, J. M.

Eyyuboglu, H. T.

Foot, C. J.

P. Zemanek and C. J. Foot, "Atomic dipole trap formed by blue detuned strong Gaussian standing wave," Opt. Commun. 146, 119-123 (1998).
[CrossRef]

Ghafary, B.

M. Alavinejad, B. Ghafary, and D. Razzaghi, "Spectral changes of partially coherent flat topped beam in turbulent atmosphere," Opt. Commun. 281, 2173-2178 (2008).
[CrossRef]

M. Alavinejad and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Opt. Lasers Eng. 46, 357-362 (2008).
[CrossRef]

Goldstein, S. B.

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Gori, F.

Gu, Y.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Guo, H.

G. Wu, H. Guo, and D. Deng, "Paraxial propagation of partially coherent flat-topped beam," Opt. Commun. 260, 687-690 (2006).
[CrossRef]

Hanssen, J.

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Harada, Y.

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

He, S.

Ho, Y. K.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Hsieh, W. F.

C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).

Ji, X.

X. Ji and B. Lu, "Focal shift and focal switch of flattened Gaussian beams in passage through an apertured bifocal lens," IEEE J. Quantum Electron. 39, 172-178 (2003).
[CrossRef]

Jitsuno, T.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Kawata, S.

K. Okamoto and S. Kawata, "Radiation Force Exerted on Subwavelength Particles near a Nanoaperture," Phys. Rev. Lett. 83, 4534-4537 (1999).
[CrossRef]

Kong, Q.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Li, Y.

Lin, Q.

Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
[CrossRef]

Y. Cai and Q. Lin, "Properties of a flattened Gaussian beam in the fractional Fourier transform plane," J. Opt. A: Pure Appl. Opt. 5, 272-275 (2003).
[CrossRef]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).
[CrossRef]

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

Lu, B.

X. Ji and B. Lu, "Focal shift and focal switch of flattened Gaussian beams in passage through an apertured bifocal lens," IEEE J. Quantum Electron. 39, 172-178 (2003).
[CrossRef]

Lu, X. H.

Lü, X.

X. Lü and Y. Cai, "Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system," Opt. Commun. 269, 39-46 (2007).
[CrossRef]

Matsuoka, S.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Meyrath, T.

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Meystre, P.

M. Bhattacharya and P. Meystre, "Using a Laguerre-Gaussian Beam to Trap and Cool the Rotational Motion of a Mirror," Phys. Rev. Lett. 99, 153603 (2007).
[CrossRef] [PubMed]

Miyanaga, N.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Nakatsuka, M.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Nishi, N.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Okamoto, K.

K. Okamoto and S. Kawata, "Radiation Force Exerted on Subwavelength Particles near a Nanoaperture," Phys. Rev. Lett. 83, 4534-4537 (1999).
[CrossRef]

Pacileo, A. M.

Raizen, M.

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Razzaghi, D.

M. Alavinejad, B. Ghafary, and D. Razzaghi, "Spectral changes of partially coherent flat topped beam in turbulent atmosphere," Opt. Commun. 281, 2173-2178 (2008).
[CrossRef]

Santarsiero, M.

Schnapp, Bruce J.

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Schreck, F.

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Steven, M.

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Tai, P. T.

C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).

Tempere, J.

J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).

Tovar, A. A.

Tsubakimoto, K.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Vicalvi, S.

R. Borghi, M. Santarsiero, and S. Vicalvi, "Focal shift of focused flat-topped beams," Opt. Commun. 154, 243-48 (1998).
[CrossRef]

Wang, F.

Wang, L.

L. Wang and J. Xue, "Efficiency comparison analysis of second harmonic generation on flattened Gaussian and Gaussian beams through a crystal CsLiB6O10," Jpn. J. Appl. Phys. 41, 7373-7376 (2002).
[CrossRef]

Wang, L. G.

L. G. Wang, C. L. Zhao, L. Q. Wang, X. H. Lu, and S. Y. Zhu, "Effect of spatial coherence on radiation forces acting on a Rayleigh dielectric sphere," Opt. Lett. 32, 1393-1395 (2007).
[CrossRef] [PubMed]

L. G. Wang and C. L. Zhao, "Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh dielectric sphere," Opt. Express. 15, 10615-10621 (2007).
[CrossRef] [PubMed]

Wang, L. Q.

Wang, P. X.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Wang, S.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

Wang, S. J.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Wang, W.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
[CrossRef]

Wen, Q.

Y. Zhang, B. Zhang, and Q. Wen, "Changes in the spectrum of partially coherent flat-top light beam propagating in dispersive or gain media," Opt. Commun. 266, 407-412 (2006).
[CrossRef]

Wu, G.

G. Wu, H. Guo, and D. Deng, "Paraxial propagation of partially coherent flat-topped beam," Opt. Commun. 260, 687-690 (2006).
[CrossRef]

Xue, J.

L. Wang and J. Xue, "Efficiency comparison analysis of second harmonic generation on flattened Gaussian and Gaussian beams through a crystal CsLiB6O10," Jpn. J. Appl. Phys. 41, 7373-7376 (2002).
[CrossRef]

Ye, J. Y.

Zemanek, P.

P. Zemanek and C. J. Foot, "Atomic dipole trap formed by blue detuned strong Gaussian standing wave," Opt. Commun. 146, 119-123 (1998).
[CrossRef]

Zhan, Q.

Zhang, B.

Y. Zhang, B. Zhang, and Q. Wen, "Changes in the spectrum of partially coherent flat-top light beam propagating in dispersive or gain media," Opt. Commun. 266, 407-412 (2006).
[CrossRef]

Zhang, Y.

Y. Zhang, B. Zhang, and Q. Wen, "Changes in the spectrum of partially coherent flat-top light beam propagating in dispersive or gain media," Opt. Commun. 266, 407-412 (2006).
[CrossRef]

Zhao, C. L.

L. G. Wang, C. L. Zhao, L. Q. Wang, X. H. Lu, and S. Y. Zhu, "Effect of spatial coherence on radiation forces acting on a Rayleigh dielectric sphere," Opt. Lett. 32, 1393-1395 (2007).
[CrossRef] [PubMed]

L. G. Wang and C. L. Zhao, "Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh dielectric sphere," Opt. Express. 15, 10615-10621 (2007).
[CrossRef] [PubMed]

Zhu, S. Y.

Appl. Opt.

Appl. Phys. Lett.

C. H. Chen, P. T. Tai, and W. F. Hsieh, "Bottle beam from a bare laser for single-beam trapping" Appl. Phys. Lett. 43, 6001-6006 (2004).

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W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, "Field description and electron acceleration of focused flattened Gaussian laser beams," Europhys. Lett. 73, 211-217 (2006).
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X. Ji and B. Lu, "Focal shift and focal switch of flattened Gaussian beams in passage through an apertured bifocal lens," IEEE J. Quantum Electron. 39, 172-178 (2003).
[CrossRef]

J. Opt. A: Pure Appl. Opt.

Y. Cai and Q. Lin, "Light beams with elliptical flat-topped profiles," J. Opt. A: Pure Appl. Opt. 6, 390-395 (2004).
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Y. Cai, "Propagation of various flat-topped beams in a turbulent atmosphere," J. Opt. A: Pure Appl. Opt. 8, 537-545 (2006).
[CrossRef]

Y. Cai and Q. Lin, "Properties of a flattened Gaussian beam in the fractional Fourier transform plane," J. Opt. A: Pure Appl. Opt. 5, 272-275 (2003).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. A.

R. Borghi, "Elegant Laguerre-Gauss beams as a new tool for describing axisymmetric flattened Gaussian beams," J. Opt. Soc. Am. A. 18, 1627-1633 (2001).
[CrossRef]

Jpn. J. Appl. Phys

L. Wang and J. Xue, "Efficiency comparison analysis of second harmonic generation on flattened Gaussian and Gaussian beams through a crystal CsLiB6O10," Jpn. J. Appl. Phys. 41, 7373-7376 (2002).
[CrossRef]

Nature.

M. Steven, S. B. Block Lawrence, and Goldstein and Bruce J. Schnapp, "Bead movement by single kinesin molecules studied with optical tweezers," Nature. 348, 348 - 352 (1990).
[CrossRef]

Opt. Commun.

M. Alavinejad, B. Ghafary, and D. Razzaghi, "Spectral changes of partially coherent flat topped beam in turbulent atmosphere," Opt. Commun. 281, 2173-2178 (2008).
[CrossRef]

Y. Harada and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Opt. Commun. 124, 529-541 (1996).
[CrossRef]

P. Zemanek and C. J. Foot, "Atomic dipole trap formed by blue detuned strong Gaussian standing wave," Opt. Commun. 146, 119-123 (1998).
[CrossRef]

Y. Zhang, B. Zhang, and Q. Wen, "Changes in the spectrum of partially coherent flat-top light beam propagating in dispersive or gain media," Opt. Commun. 266, 407-412 (2006).
[CrossRef]

F. Gori, "Flattened gaussian beams," Opt. Commun. 107, 335-341 (1994).
[CrossRef]

X. Lü and Y. Cai, "Analytical formulas for a circular or non-circular flat-topped beam propagating through an apertured paraxial optical system," Opt. Commun. 269, 39-46 (2007).
[CrossRef]

G. Wu, H. Guo, and D. Deng, "Paraxial propagation of partially coherent flat-topped beam," Opt. Commun. 260, 687-690 (2006).
[CrossRef]

S. A. Amarande, "Beam propagation factor and the kurtosis parameter of flattened Gaussian beams," Opt. Commun. 129, 311-317 (1996).

R. Borghi, M. Santarsiero, and S. Vicalvi, "Focal shift of focused flat-topped beams," Opt. Commun. 154, 243-48 (1998).
[CrossRef]

Opt. Express

Opt. Express.

L. G. Wang and C. L. Zhao, "Dynamic radiation force of a pulsed Gaussian beam acting on a Rayleigh dielectric sphere," Opt. Express. 15, 10615-10621 (2007).
[CrossRef] [PubMed]

T. Meyrath, F. Schreck, J. Hanssen, C. Chuu, and M. Raizen, "A high frequency optical trap for atoms using Hermite-Gaussian beams," Opt. Express. 13, 2843-2851 (2005).
[CrossRef] [PubMed]

Opt. Lasers Eng.

M. Alavinejad and B. Ghafary, "Turbulence-induced degradation properties of partially coherent flat-topped beams," Opt. Lasers Eng. 46, 357-362 (2008).
[CrossRef]

Opt. Lett.

R. Borghi and M. Santarsiero, "Modal decomposition of partially coherent flat-topped beams produced by multimode lasers," Opt. Lett. 23, 313-315 (1998).
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F. Wang and Y. Cai, "Experimental generation of a partially coherent flat-topped beam," Opt. Lett. 33, 1795-1797 (2008).
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S. Chu, J. E. Bjorkholm, A. Ashkin, and A. Cable, "Experimental observation and manipulation of stuck particles with pulsed optical tweezers," Opt. Lett. 30, 1797-1799 (2005).
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Y. Li, "Light beam with flat-topped profiles," Opt. Lett. 27, 1007-1009 (2002).
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J. Y. Ye. G. Q. Chang. T. B. Norris, C. Tse, M. J. Zohdy. K. W. Hollman, M. O’Donnell, and J. R. Baker, "Trapping cavitation bubbles with a self-focused laser beam," Opt. Lett. 29, 2136- 2138 (2004).
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L. G. Wang, C. L. Zhao, L. Q. Wang, X. H. Lu, and S. Y. Zhu, "Effect of spatial coherence on radiation forces acting on a Rayleigh dielectric sphere," Opt. Lett. 32, 1393-1395 (2007).
[CrossRef] [PubMed]

Q. Lin and Y. Cai, "Tensor ABCD law for partially coherent twisted anisotropic Gaussian Schell-model beams," Opt. Lett. 27, 216-218 (2002).
[CrossRef]

Opt. Rev.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, "Two-dimensional multi-lens array with circular aperture spherical lens for flat-top irradiation of inertial confinement fusion target," Opt. Rev. 7, 216-220 (2000).
[CrossRef]

Optik.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, "Transformation of non-symmetric Gaussian beam into symmetric one by means of tensor ABCD law," Optik. 85, 67-72 (1990).

Phys. Rev. A

J. Tempere, J. T. Devreese, and E. R. I. Abraham, "Vortices in Bose-Einstein condensates confined in a multiply connected Laguerre-Gaussian optical trap," Phys. Rev. A 64, 023603 (2001).

Phys. Rev. Lett.

M. Bhattacharya and P. Meystre, "Using a Laguerre-Gaussian Beam to Trap and Cool the Rotational Motion of a Mirror," Phys. Rev. Lett. 99, 153603 (2007).
[CrossRef] [PubMed]

K. Okamoto and S. Kawata, "Radiation Force Exerted on Subwavelength Particles near a Nanoaperture," Phys. Rev. Lett. 83, 4534-4537 (1999).
[CrossRef]

L. Oroszi L, P. Galajda, H. Kirei, S. Bottka, and P. Ormos, "Direct measurement of torque in an optical trap and its application to double-strand DNA," Phys. Rev. Lett. 97, 058301 (2006).
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Figures (8)

Fig. 1.
Fig. 1.

Intensity distribution of a flat-topped beam for four different values of N with w 0 = 10mm (a) contour graph, (b) cross line (y=0)

Fig. 2.
Fig. 2.

Schematic of a focusing optical system

Fig. 3.
Fig. 3.

Intensity distribution of a focused coherent flat-topped beam for different values of N at several propagation distances

Fig. 4.
Fig. 4.

Intensity distribution of a focused partially coherent flat-topped beam for different values of σ0 at several propagation distances

Fig. 5.
Fig. 5.

The scattering force ((a)-(c)) and the transverse gradient force ((d)-(f)) of a coherent flat-topped beam for four different values of N at different positions z 1 , and the longitudinal gradient force (g) and (f) for two different transverse positions x

Fig. 6.
Fig. 6.

Schematic of two face to face flat-topped beams focused on a particle

Fig. 7.
Fig. 7.

The scattering force ((a)-(c)) and the transverse gradient force ((d)-(f)) of a partially coherent flat-topped beam with N=3 for different values of σ0 at different positions z 1 , and the longitudinal gradient force (g) and (f) for two different transverse positions x

Fig. 8.
Fig. 8.

(a) Dependence of the radiation forces FSMcaatx , F Scat Max , F Grad-x Max and F Grad-z Max produced by a coherent flat-topped beam on initial beam order N at z 1=0, (b) Dependence of the radiation forces F Scat Max , F Grad-x Max and F Grad-z Max produced by a focused partially coherent flat-topped beam on σ0 at z 1=0 with N=3. F B is the Brownian force

Tables (2)

Tables Icon

Table 1. The trapping range of Fig. 5(f) for four different values of N.

Tables Icon

Table 2. The trapping range of Fig. 7(d) for four different values of σ0

Equations (19)

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

E in N ( r , z = 0 ) = E 0 N n = 1 N ( 1 ) n 1 N N n exp ( n r 2 w 0 2 ) ,
P = + + I in N ( r , z = 0 ) dxdy ,
E 0 N = 4 nP / n = 1 N ( 1 ) 2 ( n 1 ) N 2 N n π w 0 2 n m ε 0 c .
E in N ( r , z = 0 ) = E 0 N n = 1 N ( 1 ) n 1 N N n exp ( ik 2 r T Q 1 n 1 r ) ,
Q 1 n 1 = ( 2 ni / k w 0 2 0 0 2 ni / k w 0 2 ) .
E out N ( ρ , z ) = E 0 N n = 1 N ( 1 ) n 1 N N n [ det ( A + B Q 1 n 1 ) ] 1 / 2 exp ( ik 2 ρ T Q 2 n 1 ρ ) ,
Q 2 n 1 = ( C + D Q 1 n 1 ) ( A + B Q 1 n 1 ) 1 .
Γ ( r 1 , r 2 , z = 0 ) = I ( r 1 , z = 0 ) I ( r 2 , z = 0 ) g ( r 1 r 2 ) ,
g ( r 1 r 2 ) = exp [ ( r 1 r 2 ) 2 2 σ 0 2 ] ,
Γ in N ( r 1 , r 2 , z = 0 ) = E 0 N 2 n = 1 N m = 1 N ( 1 ) n + m N 2 N n N m exp [ n r 1 2 + m r 2 2 w o 2 ( r 1 r 2 ) 2 2 σ 0 2 ] ,
Γ in N ( r 1 , r 2 , z = 0 ) = E 0 N 2 n = 1 N m = 1 N ( 1 ) n + m N 2 N n N m exp ( n r 1 2 + m r 2 2 w o 2 ) δ ( r 1 r 2 ) ,
Γ in N ( r ˜ , 0 ) = E 0 N 2 n = 1 N m = 1 N ( 1 ) n + m N 2 N n N m exp ( ik 2 r ˜ T M 1 nm 1 r ˜ ) ,
M 1 nm 1 = [ ( 2 ni k w 0 2 i k σ 0 2 ) I i k σ 0 2 I i k σ 0 2 I ( 2 mi k w 0 2 i k σ 0 2 ) I ] ,
Γ out N ( ρ 1 , ρ 2 , z ) = E 0 N 2 n = 1 N m = 1 N ( 1 ) n + m N 2 N n N m [ det ( A ̅ + B ̅ M 1 nm 1 ) ] 1 / 2 exp ( ik 2 ρ ˜ T M 2 nm 1 ρ ˜ ) ,
A ̅ = A 0 I 0 I A , B ̅ = B 0 I 0 I B , C ̅ = C 0 I 0 I C , D ̅ = D 0 I 0 I D .
M 2 nm 1 = ( C ̅ + D ̅ M 1 nm 1 ) ( A ̅ + B ̅ M 1 nm 1 ) 1 .
A B C D = I ( f + z 1 ) I 0 I I I 0 I ( 1 / f ) I I = ( z 1 / f ) I ( f + z 1 ) I ( 1 / f ) I I .
F Scat ( r , z ) = e z n m α I out / c ,
F Grad ( r , z ) = 2 π n m β I out / c ,

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