Abstract

In a recent paper, a method for the generation of a long, narrow needle of light was proposed [J. Opt. Soc. Am. A 31, 500 (2014)]. The implications of this on our appreciation of the properties of Bessel beams are discussed.

© 2014 Optical Society of America

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References

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  1. M. Zhu, Q. Cao, and H. Gao, “Creation of a 50,000λ long needle-like field with 0.36λ width,” J. Opt. Soc. Am. A 31, 500–504 (2014).
    [CrossRef]
  2. D. Fink, “Polarization effects of axicons,” Appl. Opt. 18, 581–582 (1979).
    [CrossRef]
  3. C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microw. Opt. Acoust. 2, 163–166 (1978).
    [CrossRef]
  4. Z. Bouchal and M. Olivík, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995).
    [CrossRef]
  5. C. J. R. Sheppard and A. Choudhury, “Annular pupils, radial polarization, and superresolution,” Appl. Opt. 43, 4322–4327 (2004).
    [CrossRef]
  6. C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microw. Opt. Acoust. 2, 105–112 (1978).
    [CrossRef]
  7. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
    [CrossRef]
  8. J. P. Fontana and R. H. Pantel, “A high-energy, laser accelerator for electrons using the inverse Cherenkov effect,” J. Appl. Phys. 54, 4285 (1983).
    [CrossRef]
  9. R. Kompfner, “The traveling-wave tube as amplifier at microwaves,” Proc. IRE 35, 124–127 (1947).
    [CrossRef]
  10. A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
    [CrossRef]
  11. V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
    [CrossRef]
  12. J. Lu and J. F. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equations and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992).
    [CrossRef]
  13. J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983).
    [CrossRef]
  14. C. J. R. Sheppard, “Bessel pulse beams and focus wave modes,” J. Opt. Soc. Am. A 18, 2594–2600 (2001).
    [CrossRef]
  15. T. Sauter and F. Paschke, “Can Bessel beams carry superluminal signals?” Phys. Lett. A 285, 1–6 (2001).
    [CrossRef]

2014 (1)

2011 (1)

A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

2004 (1)

2002 (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

2001 (2)

C. J. R. Sheppard, “Bessel pulse beams and focus wave modes,” J. Opt. Soc. Am. A 18, 2594–2600 (2001).
[CrossRef]

T. Sauter and F. Paschke, “Can Bessel beams carry superluminal signals?” Phys. Lett. A 285, 1–6 (2001).
[CrossRef]

1995 (1)

Z. Bouchal and M. Olivík, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995).
[CrossRef]

1992 (1)

J. Lu and J. F. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equations and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992).
[CrossRef]

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

1983 (2)

J. P. Fontana and R. H. Pantel, “A high-energy, laser accelerator for electrons using the inverse Cherenkov effect,” J. Appl. Phys. 54, 4285 (1983).
[CrossRef]

J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983).
[CrossRef]

1979 (1)

1978 (2)

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microw. Opt. Acoust. 2, 163–166 (1978).
[CrossRef]

C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microw. Opt. Acoust. 2, 105–112 (1978).
[CrossRef]

1947 (1)

R. Kompfner, “The traveling-wave tube as amplifier at microwaves,” Proc. IRE 35, 124–127 (1947).
[CrossRef]

Bouchal, Z.

Z. Bouchal and M. Olivík, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995).
[CrossRef]

Brittingham, J. N.

J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983).
[CrossRef]

Cao, Q.

Choudhury, A.

Dholakia, K.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Fink, D.

Fontana, J. P.

J. P. Fontana and R. H. Pantel, “A high-energy, laser accelerator for electrons using the inverse Cherenkov effect,” J. Appl. Phys. 54, 4285 (1983).
[CrossRef]

Gao, H.

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Greenleaf, J. F.

J. Lu and J. F. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equations and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992).
[CrossRef]

Kompfner, R.

R. Kompfner, “The traveling-wave tube as amplifier at microwaves,” Proc. IRE 35, 124–127 (1947).
[CrossRef]

Lu, J.

J. Lu and J. F. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equations and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992).
[CrossRef]

McGloin, D.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Melville, H.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Novitsky, A.

A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Olivík, M.

Z. Bouchal and M. Olivík, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995).
[CrossRef]

Pantel, R. H.

J. P. Fontana and R. H. Pantel, “A high-energy, laser accelerator for electrons using the inverse Cherenkov effect,” J. Appl. Phys. 54, 4285 (1983).
[CrossRef]

Paschke, F.

T. Sauter and F. Paschke, “Can Bessel beams carry superluminal signals?” Phys. Lett. A 285, 1–6 (2001).
[CrossRef]

Qiu, C.-W.

A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Sauter, T.

T. Sauter and F. Paschke, “Can Bessel beams carry superluminal signals?” Phys. Lett. A 285, 1–6 (2001).
[CrossRef]

Sheppard, C. J. R.

C. J. R. Sheppard and A. Choudhury, “Annular pupils, radial polarization, and superresolution,” Appl. Opt. 43, 4322–4327 (2004).
[CrossRef]

C. J. R. Sheppard, “Bessel pulse beams and focus wave modes,” J. Opt. Soc. Am. A 18, 2594–2600 (2001).
[CrossRef]

C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microw. Opt. Acoust. 2, 105–112 (1978).
[CrossRef]

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microw. Opt. Acoust. 2, 163–166 (1978).
[CrossRef]

Sibbett, W.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Wang, H. F.

A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

Wilson, T.

C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microw. Opt. Acoust. 2, 105–112 (1978).
[CrossRef]

Zhu, M.

Appl. Opt. (2)

IEE J. Microw. Opt. Acoust. (2)

C. J. R. Sheppard and T. Wilson, “Gaussian-beam theory of lenses with annular aperture,” IEE J. Microw. Opt. Acoust. 2, 105–112 (1978).
[CrossRef]

C. J. R. Sheppard, “Electromagnetic field in the focal region of wide-angular annular lens and mirror systems,” IEE J. Microw. Opt. Acoust. 2, 163–166 (1978).
[CrossRef]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control (1)

J. Lu and J. F. Greenleaf, “Nondiffracting X waves—exact solutions to free-space scalar wave equations and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992).
[CrossRef]

J. Appl. Phys. (2)

J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983).
[CrossRef]

J. P. Fontana and R. H. Pantel, “A high-energy, laser accelerator for electrons using the inverse Cherenkov effect,” J. Appl. Phys. 54, 4285 (1983).
[CrossRef]

J. Mod. Opt. (1)

Z. Bouchal and M. Olivík, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995).
[CrossRef]

J. Opt. Soc. Am. A (2)

Nature (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, “Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,” Nature 419, 145–147 (2002).
[CrossRef]

Phys. Lett. A (1)

T. Sauter and F. Paschke, “Can Bessel beams carry superluminal signals?” Phys. Lett. A 285, 1–6 (2001).
[CrossRef]

Phys. Rev. Lett. (2)

A. Novitsky, C.-W. Qiu, and H. F. Wang, “Single gradientless light beam drags particles as tractor beams,” Phys. Rev. Lett. 107, 203601 (2011).
[CrossRef]

J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef]

Proc. IRE (1)

R. Kompfner, “The traveling-wave tube as amplifier at microwaves,” Proc. IRE 35, 124–127 (1947).
[CrossRef]

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