White light propagation invariant beams

doi:10.1364/OPEX.13.006657

Optics Express

Editor: Michael Duncan
Vol. 13, Iss. 17 — Aug. 22, 2005
pp: 6657–6666

White light propagation invariant beams

Pascal Fischer, C. Brown, J. Morris, C. López-Mariscal, E. Wright, W. Sibbett, and K. Dholakia »View Author Affiliations

Optics Express, Vol. 13, Issue 17, pp. 6657-6666 (2005)
http://dx.doi.org/10.1364/OPEX.13.006657

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Abstract
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References (17)
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Abstract

Propagation invariant light fields such as Bessel light beams are of interest in a variety of current areas such as micromanipulation of atoms and mesoscopic particles, laser plasmas, and the study of optical angular momentum. Considering the optical fields as a superposition of conical waves, we discuss how the coherence properties of light play a key role in their formation. As an example, we show that Bessel beams can be created from temporally incoherent broadband light sources including a halogen bulb. By using a supercontinuum source we elucidate how the beam behaves as a function of bandwidth of the incident light field.

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(090.1970) Holography : Diffractive optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Research Papers

History
Original Manuscript: July 18, 2005
Revised Manuscript: August 17, 2005
Published: August 22, 2005

Citation
Pascal Fischer, C. Brown, J. Morris, C. López-Mariscal, E. Wright, W. Sibbett, and K. Dholakia, "White light propagation invariant beams," Opt. Express 13, 6657-6666 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-17-6657

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References

J. Durnin, J.J. Miceli, J.H. Eberly, �??Diffraction-free beams,�?? Phys. Rev. Lett. 58 1499-1501 (1987). [CrossRef] [PubMed]
J. Arlt, K. Dholakia, J. Soneson and E. M. Wright, �??Optical dipole traps and atomic waveguides based on Bessel light beams,�?? Phys. Rev. A 63, 063602 (2001). [CrossRef]
J. H. McLeod, �??The Axicon: A new type of optical element,�?? J. Opt. Soc. Am. 44, 592-597 (1954). [CrossRef]
J. Arlt, V. Garces-Chavez, W. Sibbett, K. Dholakia, �??Optical micromanipulation using a Bessel light beam,�?? Opt. Commun. 197, 239-245 (2000). [CrossRef]
J. Fan, E. Parra, I. Alexeev, K. Y. Kim, H. M. Milchberg, L. Ya. Margolin, and L. N. Pyatnitskii, �??Tubular Plasma Generation With a High-Power Hollow Bessel Beam,�?? Phys. Rev. E 62, R7603 (2000). [CrossRef]
T. Wulle, S. Herminghaus, �??Nonlinear Optics of Bessel Beams,�?? Phys. Rev. Lett. 70, 1401-1404 (1993). [CrossRef] [PubMed]
M. Fortin, M. Piché, and E.F. Borra, "Optical tests with Bessel beam interferometry,�?? Opt. Express 12, 5887-5895 (2004). [CrossRef] [PubMed]
R. Grunwald, U. Grieber, F. Tschirschwitz, E.T.J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, W. Jueptner, �??Generation of femtosecond Bessel beams with microaxicon arrays,�?? Opt. Lett. 25, 981-983 (2000). [CrossRef]
P. Saari, K. Reivelt �??Evidence of X-shaped propagation invariant localized light waves,�?? Phys. Rev. Lett. 79, 4135-4138 (1997). [CrossRef]
D. McGloin, K. Dholakia, �??Bessel beams: diffraction in a new light,�?? Contemporary Physics 46, 15-28 (2005). [CrossRef]
A. Vasara, J. Turunen, A.T. Friberg, �??Realization of general nondiffracting beams with computer generated holograms,�?? J. Opt. Soc. Am. A 6, 1748-1754 (1989). [CrossRef] [PubMed]
R. Piestun, J. Shamir, �??Control of wave-front propagation with diffractive elements,�?? Opt. Lett. 19, 771-773 (1994). [CrossRef] [PubMed]
L. Basano, P. Ottonello, �??Demonstration experiments on nondiffracting beams generated by thermal light,�?? Am. J. Phys. 73, 826-830 (2005). [CrossRef]
M. W. Kowarz, G. S. Agarwal, �??Bessel-beam representation for partially coherent fields,�?? J. Opt. Soc. Am. A 12, 1324-1330 (1995). [CrossRef]
A. V. Shchegrov, E. Wolf, �??Partially coherent beams,�?? Opt. Lett. 25, 141-143 (2000). [CrossRef]
K. Ishii, R. Zoshida, T. Iwai �??Single scattering spectroscopy for extremely dense colloidal suspensions by use of a low-coherence interferometer,�?? Opt. Lett. 30, 555-7 (2005). [CrossRef] [PubMed]
Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, Z. Chen, �??High-resolution optical coherence tomography over a large depth range with an Axicon lens,�?? Opt. Lett. 27, 243-5 (2002). [CrossRef]

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[1] J. Durnin, J.J. Miceli, J.H. Eberly, �??Diffraction-free beams,�?? Phys. Rev. Lett. 58 1499-1501 (1987). [CrossRef] [PubMed]

[2] J. Arlt, K. Dholakia, J. Soneson and E. M. Wright, �??Optical dipole traps and atomic waveguides based on Bessel light beams,�?? Phys. Rev. A 63, 063602 (2001). [CrossRef]

[3] J. H. McLeod, �??The Axicon: A new type of optical element,�?? J. Opt. Soc. Am. 44, 592-597 (1954). [CrossRef]

[4] J. Arlt, V. Garces-Chavez, W. Sibbett, K. Dholakia, �??Optical micromanipulation using a Bessel light beam,�?? Opt. Commun. 197, 239-245 (2000). [CrossRef]

[5] J. Fan, E. Parra, I. Alexeev, K. Y. Kim, H. M. Milchberg, L. Ya. Margolin, and L. N. Pyatnitskii, �??Tubular Plasma Generation With a High-Power Hollow Bessel Beam,�?? Phys. Rev. E 62, R7603 (2000). [CrossRef]

[6] T. Wulle, S. Herminghaus, �??Nonlinear Optics of Bessel Beams,�?? Phys. Rev. Lett. 70, 1401-1404 (1993). [CrossRef] [PubMed]

[7] M. Fortin, M. Piché, and E.F. Borra, "Optical tests with Bessel beam interferometry,�?? Opt. Express 12, 5887-5895 (2004). [CrossRef] [PubMed]

[8] R. Grunwald, U. Grieber, F. Tschirschwitz, E.T.J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, W. Jueptner, �??Generation of femtosecond Bessel beams with microaxicon arrays,�?? Opt. Lett. 25, 981-983 (2000). [CrossRef]

[9] P. Saari, K. Reivelt �??Evidence of X-shaped propagation invariant localized light waves,�?? Phys. Rev. Lett. 79, 4135-4138 (1997). [CrossRef]

[10] D. McGloin, K. Dholakia, �??Bessel beams: diffraction in a new light,�?? Contemporary Physics 46, 15-28 (2005). [CrossRef]

[11] A. Vasara, J. Turunen, A.T. Friberg, �??Realization of general nondiffracting beams with computer generated holograms,�?? J. Opt. Soc. Am. A 6, 1748-1754 (1989). [CrossRef] [PubMed]

[12] R. Piestun, J. Shamir, �??Control of wave-front propagation with diffractive elements,�?? Opt. Lett. 19, 771-773 (1994). [CrossRef] [PubMed]

[13] L. Basano, P. Ottonello, �??Demonstration experiments on nondiffracting beams generated by thermal light,�?? Am. J. Phys. 73, 826-830 (2005). [CrossRef]

[14] M. W. Kowarz, G. S. Agarwal, �??Bessel-beam representation for partially coherent fields,�?? J. Opt. Soc. Am. A 12, 1324-1330 (1995). [CrossRef]

[15] A. V. Shchegrov, E. Wolf, �??Partially coherent beams,�?? Opt. Lett. 25, 141-143 (2000). [CrossRef]

[16] K. Ishii, R. Zoshida, T. Iwai �??Single scattering spectroscopy for extremely dense colloidal suspensions by use of a low-coherence interferometer,�?? Opt. Lett. 30, 555-7 (2005). [CrossRef] [PubMed]

[17] Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, Z. Chen, �??High-resolution optical coherence tomography over a large depth range with an Axicon lens,�?? Opt. Lett. 27, 243-5 (2002). [CrossRef]

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White light propagation invariant beams