OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 9 — Apr. 27, 2009
  • pp: 7465–7478

Programmable ultrashort-pulsed flying images

M. Bock, S. K. Das, and R. Grunwald  »View Author Affiliations

Optics Express, Vol. 17, Issue 9, pp. 7465-7478 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (975 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We report the generation of programmable two-dimensional arrangements of ultrashort-pulsed fringe-less Bessel-like beams of extended depth of focus (referred to as needle beams) without truncating apertures. A sub-20-fs Ti:sapphire laser and a liquid-crystal-on-silicon spatial light modulator (LCoS-SLM) of high-fidelity temporal transfer in phase-only operation mode were used in the experiments. Axicon profiles with ultra-small conical angles were approximated by adapted gray scale distributions. It was demonstrated that digitized image information encoded in amplitude-phase maps of the needle beams is propagated over considerably large distances at minimal cross talk without the need for additional relay optics. This experiment represents a physical realization of Saari’s proposal of spatio-temporally nondiffracting “flying images” on a few-femtosecond time scale.

© 2009 Optical Society of America

OCIS Codes
(320.0320) Ultrafast optics : Ultrafast optics
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Ultrafast Optics

Original Manuscript: February 27, 2009
Revised Manuscript: April 16, 2009
Manuscript Accepted: April 20, 2009
Published: April 21, 2009

M. Bock, S. K. Das, and R. Grunwald, "Programmable ultrashort-pulsed flying images," Opt. Express 17, 7465-7478 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. C. Vaughan, T. Feurer, and K. A. Nelson, "Automated two-dimensional femtosecond pulse shaping," J. Opt. Soc. Am. B 19, 2489-2495 (2002). [CrossRef]
  2. K. B. Hill, K. G. Purchase, and D. J. Brady, "Pulsed-image generation and detection," Opt. Lett. 20, 1201-1203 (1995). [CrossRef] [PubMed]
  3. J. Turunen, A. Vasara, and A. T. Friberg, "Propagation invariance and self-imaging in variable-coherence optics," J. Opt. Soc. Am. A 8, 282-289 (1991). [CrossRef]
  4. V. Kettunen and J. Turunen, "Propagation-invariant spot arrays," Opt. Lett. 23, 1247-1249 (1998). [CrossRef]
  5. Z. Bouchal, "Controlled spatial shaping of nondiffrqacting patterns and arrays," Opt. Lett. 27, 1376-1378 (2002). [CrossRef]
  6. P. Saari, Spatially and temporally nondiffracting ultrashort pulses, in: O. Svelto, S. De Silvestri, and G. Denardo (Eds.): Ultrafast Processesin Spectroscopy, (Plenum Press, New York, 1996), pp. 151-156.
  7. R. Grunwald, U. Neumann, U. Griebner, G. Steinmeyer, G. Stibenz, M. Bock, and V. Kebbel, "Self- reconstruction of pulsed optical X- waves," in M. Zamboni-Rached, E. Recami, and H. E. Hernández-Figueroa (eds.), Localized Waves, Theory and experiments (Wiley & Sons, New York, 2008), pp. 299-313. [CrossRef]
  8. R. Grunwald, Thin film microoptics - new frontiers of spatio-temporal beam shaping (Elsevier, Amsterdam, 2007).
  9. J. Durnin, "Exact solutions for nondiffracting beams I. The scalar theory," J. Opt. Soc. Am A 4, 651-654 (1986). [CrossRef]
  10. J. Durnin, J. J. Miceli, and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  11. J. H. McLeod, "The axicon: A new type of optical element," J. Opt. Soc. Am. 44, 592-597 (1954). [CrossRef]
  12. K. Reivelt and P. Saari, "Bessel-Gauss pulse as an appropriate mathematical model for optically realizable localized waves," Opt. Lett. 29, 1176-1178 (2004). [CrossRef] [PubMed]
  13. P. Saari and K. Reivelt, "Generation and classification of localized waves by Lorentz transformations in Fourier space," Phys. Rev. E 69, 036612 (2004). [CrossRef]
  14. R. M. Herman, T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. A 8, 982-942 (1991). [CrossRef]
  15. F. Gori, G. Guattari, and C. Padovani, "Bessel-Gauss beams," Opt. Commun. 64, 247-249 (1987).
  16. R. M. Herman and T. A. Wiggins, "Propagation and focusing of Bessel-Gauss, generalized Bessel-Gauss, and modified Bessel-Gauss beams," J. Opt. Soc. Am. A 18, 170-176 (2001). [CrossRef]
  17. S. Huferath-von Luepke, V. Kebbel, M. Bock, and R. Grunwald, "Noncollinear autocorrelation with radially symmetric nondiffracting beams," Proc. SPIE, Vol. 7063, 706311 (2008). [CrossRef]
  18. Z. Bouchal, J. Wagner, and M. Chlup, Self-reconstruction of a distorted nondiffracting beam, Opt. Commun. 151, 207-211 (1998). [CrossRef]
  19. C. J. R. Sheppard, "Bessel pulse beams and focus wave modes," J. Opt. Soc. Am. A 18, 2594-2600 (2001). [CrossRef]
  20. Z. Y. Liu and D. Y. Fan, "Propagation of pulsed zeroth order Bessel beams," J. Mod. Opt. 45, 17-22 (1998). [CrossRef]
  21. M. A. Porras, R. Borghi, and M. Santarsiero, "Few-optical-cycle Bessel-Gauss pulsed beams in free space," Phys. Rev. E 62, 5729-5730 (2000). [CrossRef]
  22. P. Saari and K. Reivelt, "Evidence of X-shaped propagation-invariant localized light waves," Phys. Rev. Lett. 79, 4135-4138 (1997). [CrossRef]
  23. R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E.T.J. Nibbering, M. Piché, G. Rousseau, and M. Fortin, "Generation and characterization of spatially and temporally localized few-cycle optical wavepackets," Phys. Rev. A 67, 063820 (2003). [CrossRef]
  24. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, "Spontaneously generated X-shaped light bullets," Phys. Rev. Lett. 91, 093904 (2003). [CrossRef] [PubMed]
  25. R. Grunwald, M. Bock, V. Kebbel, S. Huferath, U. Neumann, G. Steinmeyer, G. Stibenz, J.-L. Néron, and M. Piché, "Ultrashort-pulsed truncated polychromatic Bessel-Gauss beams," Opt. Express 16, 1077-1089 (2008). [CrossRef] [PubMed]
  26. R. Grunwald, S. Huferath, M. Bock, U. Neumann, and S. Langer, "Angular tolerance of Shack-Hartmann wavefront sensors with microaxicons," Opt. Lett. 32, 1533-1535 (2007). [CrossRef] [PubMed]
  27. G. D. Love, S. R. Restaino, G. C. Loos, and A. Purvis, "Wave-front control using a 64 × 64 pixel liquid crystal array," Proc. SPIE, 2201, 1068-1072 (1994). [CrossRef]
  28. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, "Programmable femtosecond pulse shaping by use of a multielement liquid-crystal phase modulator," Opt. Lett. 15, 226-228 (1990). [CrossRef]
  29. R. M. Koehl, T. Hattori, and K. A. Nelson, "Automated spatial and temporal shaping of femtosecond pulses," Opt. Commun. 157, 57-61 (1998). [CrossRef]
  30. M. C. Nuss and R. L. Morrison, "Time-domain images," Opt. Lett. 20, 740-742 (1995). [CrossRef] [PubMed]
  31. T. Brixner and G. Gerber, "Femtosecond polarization pulse shaping," Opt. Lett. 26, 557-559 (2001). [CrossRef]
  32. E. Zeek, K. Maginnis, S. Backus, U. Russek, M. Murnane, G. Mourou, and H. Kapteyn, "Pulse compression by use of deformable mirrors," Opt. Lett. 24, 493-495 (1999). [CrossRef]
  33. M. Bock, S. K. Das, R. Grunwald, S. Osten, P. Staudt, and G. Stibenz, "Spectral and temporal response of liquid-crystal-on-silicon spatial light modulators," Appl. Phys. Lett. 92, 151105 (2008). [CrossRef]
  34. I. Golub, "Fresnel axicon," Opt. Lett. 31, 1890-1892 (2006). [CrossRef] [PubMed]
  35. P. Saari and H. Sõnajalg, "Pulsed Bessel beams," Laser Phys. 7, 32-39 (1997).
  36. Volker Kebbel, "Untersuchungen zur Erzeugung und Propagation ultrakurzer optischer Bessel-Impulse," Doctoral thesis, University Bremen, 2004 (BIAS Verlag Bremen, in German).
  37. R. Grunwald. R. Grunwald, U. Griebner, F. Tschirschwitz, E. T. J. Nibbering, T. Elsaesser, V. Kebbel, H.-J. Hartmann, and W. Jüptner, "Generation of femtosecond Bessel beams with micro-axicon arrays," Opt. Lett. 25, 981-983 (2000). [CrossRef]
  38. O. Brzobohatý, T. ?ižmár, and P. Zemánek, "High quality quasi-Bessel beam generated by round-tip axicon," Opt. Express 16, 12688-12700 (2008). [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: AVI (2357 KB)     
» Media 2: AVI (4044 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited