Journal of the European Optical Society - Rapid publications, Vol 6 (2011)

Analytical expressions for diffraction-free beams through an opaque disk

Q. Huang, S. Coetmellec, F. Duval, A. Louis, H. Leblond, M. Brunel


We establish analytical expressions that demonstrate that the beam produced after diffraction of a gaussian beam by an opaque disk and collimation by a lens can be approached by a diffraction-free J0 Bessel function. We further demonstrate that a similar analytical expression can be established in the
case of femtosecond incident pulses

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2011.11031]

Full Text: PDF

Citation Details

Cite this article


J. Durnin, J. J. Miceli Jr, J. H. Eberly "Diffraction-free beams", Phys. Rev. Lett. 58, 1499-1501 (1987)

G. Indebetouw "Nondiffracting optical fields: some remarks on their analysis and synthesis", J. Opt. Soc. Am. A 6, 150-153 (1989)

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)

V. Jarutis, R. Paskauskas, A. Stabinis "Focusing of Laguerre Gaussian beams by axicon", Opt. Commun. 184, 105-112 (2000)

Z. Li, K. Boratay Alici, H. Caglayan, E. Ozbay "Generation of an axially asymmetric Bessel-Like beam from a metallic subwavelength aperture", Phys. Rev. Lett. 102, 143901 (2009)

M. Brunel, S. Coëtmellec "Generation of nondiffracting beams through an opaque disk", J. Opt. Soc. Am. A 24, 3753-3761 (2007)

M. Brunel, D. Mgharaz, S. Coëtmellec "Generation of diffractioncompensated beams with a pigtailed laser diode", IEEE Photonic. Tech. L. 20, 742-744 (2008)

I. A. Litvin, A. Forbes "Bessel Gauss resonator with internal amplitude filter", Opt. Commun. 281, 2385-2392 (2008)

G. Geloni, E. Saldin, E. Schneidmiller, M. Yurkov "Paraxial Green's functions in synchrotron radiation theory", DESY 05-032, ISSN 0418-9833 (2005)

S.N. Khonina, V. V.Kotlyar, R. V.Skidanov, V. A. Soifer, "Rotation of microparticles with Bessel beams generated by diffractive elements", J. Mod. Optic. 51, 2167-2184 (2004)

M. A. Porras "Ultrashort pulsed Gaussian light beams", Phys. Rev. E 58, 1086-1093 (1998)

I. P. Christov "Propagation of femtosecond light pulses", Opt. Commun. 53, 364-366 (1985)

Q. Zou and B. Lu "Propagation properties of ultrashort pulsed beams with constant waist width in free space", Opt. Laser Technol. 39, 619-625 (2007)

F. Nicolas, S. Coetmellec, M. Brunel, D. Lebrun "In-line holography with a pulsed-laser beam", Opt. Commun. 268, 27-33 (2006)

M. Brunel, D. Mgharaz, S. Coëtmellec "Generation of femtosecond diffraction-compensated beam through an opaque disk", Opt. Express 16, 10390-10397 (2008)