Nondiffracting (Bessel) beams are normally generated using fully coherent light (a laser). Yet their distinctive properties (nondiffraction and self-reconstruction) can be obtained using a common halogen lamp as the primary source. Other experiments, for example, the creation of periodic intensity modulations along the optical axis, require a source with a much narrower spectrum. We present demonstrations that show that thermal light is useful for explaining several properties of a Bessel-beam generator and may help students to understand some issues of modern coherence theory.
REFERENCES
1.
J.
Durnin
, “Exact solutions for nondiffracting beams. I. The scalar theory
,” J. Opt. Soc. Am.
4
, 651
–654
(1987
).2.
J. A. Stratton, Electromagnetic Theory (McGraw–Hill, New York, 1941).
3.
J.
Durnin
, J. J.
Miceli
, Jr., and J. H.
Eberly
, “Diffraction-free beams
,” Phys. Rev. Lett.
58
, 1499
–1501
(1987
).4.
V.
Garcés-Chavez
, D.
McGloin
, H.
Melville
, W.
Sibbett
, and K.
Dholakia
, “Simultaneous micromanipulation in multiple planes using a self-reconstruction light beam
,” Nature (London)
419
, 145
–147
(2002
).5.
K.
Dholakia
, G.
Spalding
, and M.
MacDonald
, “Optical tweezers: The next generation
,” Phys. World
15
(10
), 31
(2002
).6.
M.
Erdély
, Z. L.
Horvàth
, G.
Zsabó
, Zs.
Bor
, F. K.
Tittel
, J. R.
Cavallaro
, and M. C.
Smayling
, “Generation of diffraction-free beams for applications in optical microlithography
,” J. Vac. Sci. Technol. B
15
, 287
–292
(1997
).7.
J.-Y.
Lu
, H.-H.
Zou
, and J. F.
Greenleaf
, “Biomedical ultrasound beam forming
,” Ultrasound Med. Biol.
20
, 403
–428
(1994
).8.
Y.
Liu
, W.
Seka
, J. H.
Eberly
, H.
Huang
, and D. L.
Brown
, “Experimental investigations of Bessel beam characteristics
,” Appl. Opt.
31
, 2708
–2713
(1992
).9.
C. A.
McQueen
, J.
Arlt
, and K.
Dholakia
, “An experiment to study a nondiffracting light beam
,” Am. J. Phys.
71
, 1196
–1198
(1999
).10.
J.
Salo
, J.
Fagerholm
, A. T.
Friberg
, and M. M.
Salomaa
, “Unified description of nondiffracting X and Y waves
,” Phys. Rev. E
62
, 4261
–4275
(2000
), Sec. III.11.
Z. Jaroszewicz, Axicons: Design and Propagation Properties, Research and Development Treatises (SPIE Polish Chapter, Warsaw, 1997), Vol. 5.
12.
G.
Indebetouw
, “Nondiffracting optical fields: Some remarks on their analysis and synthesis
,” J. Opt. Soc. Am. A
6
, 150
–152
(1989
).13.
J.
Turunen
, A.
Vasara
, and A. T.
Friberg
, “Holographic generation of diffraction-free beams
,” Appl. Opt.
27
, 3959
–3962
(1988
).14.
E.
Wolf
, “Young’s interference fringes with narrow-band light
,” Opt. Lett.
8
, 250
–252
(1983
).15.
L.
Basano
, P.
Ottonello
, G.
Rottigni
, and M.
Vicari
, “Spatial and temporal coherence of filtered thermal light
,” Appl. Opt.
42
, 6239
–6244
(2003
).16.
E.
Recami
, “Superluminal motions? A bird’s-eye view of the experimental situation
,” Found. Phys.
31
, 1119
–1135
(2001
).17.
D.
DeBeer
, S. R.
Hartmann
, and R.
Friedberg
, “Comment on diffraction-free beams
,” Phys. Rev. Lett.
59
, 2611
–2612
(1987
).18.
D.
Chauvat
, O.
Emile
, M.
Brunel
, and A.
Le Floch
, “Huygens’ principle and Young’s experiment in the propagation of light beams
,” Am. J. Phys.
71
, 1196
–1198
(2003
).19.
S.
Chàvez-Cerda
, M. A.
Meneses-Nava
, and J. Miguel
Hickmann
, “Interference of traveling nondiffracting beams
,” Opt. Lett.
23
, 1871
–1873
(1998
).20.
P.
Saari
and K.
Reivelt
, “Evidence of X-shaped propagation-invariant localized light waves
,” Phys. Rev. Lett.
79
, 4135
–4138
(1997
).
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