Advanced Trajectory Engineering of Diffraction-Resisting Laser Beams

Ioannis D. Chremmos, Zhigang Chen, Demetrios N. Christodoulides, Nikolaos K. Efremidis


We introduce an analytical technique for engineering the trajectory of diffraction-resisting laser beams. The generated beams have a Bessel-like transverse field distribution and can be navigated along rather arbitrary curved paths in free space, thus being an advanced hybrid between accelerating and non-accelerating diffraction-free optical waves. The method involves phase-modulating the wavefront of a Gaussian laser beam to create a continuum of conical ray bundles whose apexes define a prespecified focal curve, along which a nearly perfect circular intensity lobe propagates without diffracting. Through extensive numerical simulations, we demonstrate the great flexibility in the design of a gamut of different beam trajectories. Propagation around obstructions and self-healing scenarios are also investigated. The proposed wave entities can be used extensively for light trajectory control in applications such as laser microfabrication, optical tweezers and curved plasma filamentation spectroscopy.


  1. Andrews, D. L. (2008). Structured Light and Its Applications. Academic Press.
  2. Arlt, J. and Dholakia, K. (2000). Generation of HighOrder Bessel Beams by use of an Axicon. Opt. Comm., 177, 297-301.
  3. Bandres, M. ?2008?. Accelerating Parabolic Beams. Opt. Lett., 33, 1678-1680.
  4. Bandres, M. ?2009?. Accelerating Beams. Opt. Lett., 34, 3791-3793.
  5. Bandres, M., Gutiérrez-Vega, J. and Chávez-Cerda, S. ?2004?. Parabolic Nondiffracting Optical Wave Fields. Opt. Lett. 29, 44-46.
  6. Berry, M. and Balazs, N. ?1979?. Non-spreading Wave Packets. Am. J. Phys., 47, 264-267.
  7. Christodoulides, D. ?2008?. Optical Trapping: Riding along an Airy Beam. Nat. Photon., 2, 652-653.
  8. Durnin, J. ?1987?. Exact Solutions for Nondiffracting Beams. I. The scalar theory. J. Opt. Soc. Am. A, 4, 651.
  9. Durnin, J., Miceli, J., Eberly, J. (1987). Diffraction-free Beams. Phys. Rev. Lett., 58, 1499-1501.
  10. Efremidis, N., and Christodoulides, D. ?2010?. Abruptly Autofocusing Waves, Opt. Lett. 35, 4045-4047.
  11. Garces-Chavez, V., McGloin, D., Melville, H., Sibbett, W., and Dholakia, K. (2002). Simultaneous Micromanipulation in Multiple Planes using a SelfReconstructing Light Beam,” Nature, 419, 145-147.
  12. Grier, D. G. (2003). A Revolution in Optical Manipulation. Nature, 424, 810-816.
  13. Gutiérrez-Vega, J., Iturbe-Castillo, M. and Chávez-Cerda, S. ?2000?. Alternative Formulation for Invariant Optical Fields: Mathieu Beams. Opt. Lett., 25, 1493- 1495.
  14. Herman, R. and Wiggins, T. ?1991?. Production and Uses of Diffractionless Beams. J. Opt. Soc. Am. A, 8, 932- 942.
  15. Hu, Y., Zhang, P., Lou, C., Huang, S., Xu, J. and Chen, Z. ?2010?. Optimal Control of the Ballistic Motion of Airy Beams. Opt. Lett., 35, 2260-2262.
  16. Jarutis, V., Matijosius, A., Di Trapani, P. and Piskarskas, A. ?2009?. Spiraling Zero-Order Bessel Beam. Opt. Lett., 34, 2129-2131.
  17. Mathis, A., Courvoisier, F., Froehly, L., Furfaro, L., Jacquot, M., Lacourt, P.A., Dudley, J.M. ?2012?. Micromachining along a Curve: Femtosecond Laser Micromachining of Curved Profiles in Diamond and Silicon using Accelerating Beams. Appl. Phys. Lett., 101, art. no. 071110.
  18. Matijosius, A., Jarutis, V. and Piskarskas, A. (2010? Generation and Control of the Spiraling Zero-Order Bessel Beam. Opt. Express, 18, 8767-8771.
  19. McGloin, D. and Dholakia, K. ?2005?. Bessel Beams: Diffraction in a New Light. Contemp. Phys., 46, 15- 28.
  20. Morris, J. E., Cižmár, T., Dalgarno, H.I.R., Marchington, R.F., Gunn-Moore, F. J., and Dholakia, K. ?2010?. Realization of Curved Bessel Beams: Propagation around Obstructions. J. Opt., 12, 124002.
  21. Polynkin, P., Kolesik, M., Moloney, J., Siviloglou, G., Christodoulides, D. ?2009?. Curved Plasma Channel Generation using Ultra-Intense Airy Beams. Science, 324, 229-232.
  22. Salandrino, A. and Christodoulides, D. ?2010?. Airy Plasmon: A Nondiffracting Surface Wave. Opt. Lett., 35, 2082-2084.
  23. Siviloglou, G. and Christodoulides, D. ?2007?. Accelerating Finite Energy Airy Beams. Opt. Lett., 32, 979-981.
  24. Siviloglou, G., Broky, J., Dogariu, A. and Christodoulides, D. ?2007?. Observation of Accelerating Airy Beams. Phys. Rev. Lett., 99, 213901.

Paper Citation

in Harvard Style

D. Chremmos I., Chen Z., N. Christodoulides D. and K. Efremidis N. (2013). Advanced Trajectory Engineering of Diffraction-Resisting Laser Beams . In Proceedings of the International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS, ISBN 978-989-8565-44-0, pages 10-18. DOI: 10.5220/0004313800100018

in Bibtex Style

author={Ioannis D. Chremmos and Zhigang Chen and Demetrios N. Christodoulides and Nikolaos K. Efremidis},
title={Advanced Trajectory Engineering of Diffraction-Resisting Laser Beams},
booktitle={Proceedings of the International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},

in EndNote Style

JO - Proceedings of the International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,
TI - Advanced Trajectory Engineering of Diffraction-Resisting Laser Beams
SN - 978-989-8565-44-0
AU - D. Chremmos I.
AU - Chen Z.
AU - N. Christodoulides D.
AU - K. Efremidis N.
PY - 2013
SP - 10
EP - 18
DO - 10.5220/0004313800100018