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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 17 — Aug. 23, 2004
  • pp: 4001–4006

Stationary optical wave fields with arbitrary longitudinal shape by superposing equal frequency Bessel beams: Frozen Waves

Michel Zamboni-Rached  »View Author Affiliations

Optics Express, Vol. 12, Issue 17, pp. 4001-4006 (2004)

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In this paper it is shown how one can use Bessel beams to obtain a stationary localized wave field with high transverse localization, and whose longitudinal intensity pattern can assume any desired shape within a chosen interval 0≤zL of the propagation axis. This intensity envelope remains static, i.e., with velocity υ=0; and because of this we call “Frozen Waves” the new solutions to the wave equations (and, in particular, to the Maxwell equations). These solutions can be used in many different and interesting applications, such as optical tweezers, atom guides, optical or acoustic bistouries, various important medical purposes, etc.

© 2004 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(260.1960) Physical optics : Diffraction theory
(350.7420) Other areas of optics : Waves

ToC Category:
Research Papers

Original Manuscript: July 27, 2004
Revised Manuscript: August 10, 2004
Published: August 23, 2004

Michel Zamboni-Rached, "Stationary optical wave fields with arbitrary longitudinal shape by superposing equal frequency Bessel beams: Frozen Waves," Opt. Express 12, 4001-4006 (2004)

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  1. For a review, see: E.Recami, M.Zamboni-Rached, K.Z.Nóbrega, C.A.Dartora, and H.E.Hernández-Figueroa, �??On the localized superluminal solutions to the Maxwell equations,�?? IEEE Journal of Selected Topics in Quantum Electronics 9, 59-73 (2003); and references therein. [CrossRef]
  2. Z. Bouchal and J. Wagner, �??Self-reconstruction effect in free propagation wavefield,�?? Opt. Commun. 176, 299-307 (2000). [CrossRef]
  3. Z. Bouchal, �??Controlled spatial shaping of nondiffracting patterns and arrays,�?? Opt. Lett. 27, 1376-1378 (2002). [CrossRef]
  4. J. Rosen and A. Yariv, �??Synthesis of an arbitrary axial field profile by computer-generated holograms,�?? Opt. Lett. 19, 843-845 (1994). [CrossRef] [PubMed]
  5. R. Piestun, B. Spektor and J. Shamir, �??Unconventional light distributions in three-dimensional domains,�?? J. Mod. Opt. 43, 1495-1507 (1996). [CrossRef]
  6. J. Durnin, J. J. Miceli and J. H. Eberly, �??Diffraction-free beams,�?? Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]

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