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.

© 2005 Optical Society of America

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References

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Am. J. Phys. (1)

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

Contemporary Phys. (1)

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

J. Opt. Soc. Am. (1)

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

Opt. Commun. (1)

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

Opt. Express (1)

Opt. Lett. (5)

Phys. Rev. A (1)

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]

Phys. Rev. E (1)

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]

Phys. Rev. Lett. (3)

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

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

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

Supplementary Material (1)

» Media 1: GIF (215 KB)     

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Figures (8)

Fig. 1.
Fig. 1.

Calculated Bessel beam profiles with λ,=0.79 μm, Δω/ω=0.19, n=1.5 and γ=1°, giving rcr=330 μm and Nfr≈ 7.

Fig. 2.
Fig. 2.

Beam profiles modelocked (Bandwidth 90 nm (FWHM) centred around 790nm ΔωFWHM0 = 0.114) and continuous wave (Bandwidth 3 nm (FWHM) centred around 780nm, ΔωFWHM0 = 0.0038.

Fig. 3.
Fig. 3.

(a) Measured fluence profiles of generated Bessel beams for propagation distance between 13–21 mm, and (b) the calculated beam profile from the model.

Fig. 4.
Fig. 4.

Bessel Beam generated from a superluminescent photodiode.

Fig. 5.
Fig. 5.

Bessel beam generated from a white light halogen bulb. Beam profile taken with a camera.

Fig. 6.
Fig. 6.

(a) Visible part of the spectrum split by a prism. (b) Spectrum measured with a spectrometer (sensitive in the range 500 – 1100 nm).

Fig. 7.
Fig. 7.

(a) Picture of the visible part of the Bessel beam generated from a supercontinuum. (b) Model predictions for the spectrum in fig 9a where a dominant peak around λ=580nm with a width of 20 nm is present of the fluence profile (ΔωFWHM0 = 0.0344).

Fig. 8.
Fig. 8.

Intensity profiles taken with interference filters at (a) 500nm (b) 600nm (c) 700nm (d) 850nm, each with a bandwidth of 40nm. [Media 1]

Tables (2)

Tables Icon

Table 1. Overview and characterisation of the light sources used, where λ is the wavelength, Δλ. the bandwidth, ΔωFWHM0 the relative bandwidth, and lc the coherence length.

Tables Icon

Table 2. Overview of the Bessel beams generated from the different light sources, where γ is the apex angle of the Axicon, w0 the incoming beam spot size, exp. zmax and theor. zmax the experimental and theoretical ranges for the Bessel beam, r0 the radius of the central spot, rcritical the critical radius (Eq. 6), and Nfr the number of fringes (Eq. 7).

Equations (7)

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F r z = dt E r z t 2 = d Ω E r z Ω 2
E r z = 0 , Ω = E 0 S ( Ω ) e r 2 w 0 2 e ( Ω )
E r z = z max 2 , Ω = E 0 S ( Ω ) e i ( ϕ ( Ω ) kr 2 2 z k r 2 z 2 k ) f z Ω J 0 ( k r ( Ω ) r )
F ( r ) = F ( r , z max 2 ) F 0 ( z max 2 ) = d Ω S ( Ω ) J 0 2 ( k r ( Ω ) r ) = d Ω S ( Ω ) J 0 2 ( k r ( Ω ) r )
S ( Ω ) = 1 π Δ ω e Ω 2 Δ ω 2
( r cr λ ) = 1 4 ( n 1 ) γ ( Δ ω ω 0 ) = 1.67 4 ( n 1 ) γ ( Δ ω FWHM ω 0 )
N fr Int ( 2 k r ( 0 ) r c π 2 2 π ) Int ( 1.67 ( Δ ω FWHM ω ) 1 1 2 2 )

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