Publication:
Negative propagation effect in nonparaxial Airy beams

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2012-11-19
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Optical Society of America
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
Negative propagation is an unusual effect concerning the local sign change in the Poynting vector components of an optical beam under free propagation. We report this effect for finite-energy Airy beams in a subwavelength nonparaxial regime. This effect is due to a coupling process between propagating and evanescent plane waves forming the beam in the spectral domain and it is demonstrated for a single TE or TM mode. This is contrary to what happens for vector Bessel beams and vector X-waves, for which a complex superposition of TE and TM modes is mandatory. We also show that evanescent waves cannot contribute to the energy flux density by themselves such that a pure evanescent Airy beam is not physically realizable. The break of the shape-preserving and diffraction-free properties of Airy beams in a nonparaxial regime is exclusively caused by the propagating waves. The negative propagation effect in subwavelength nonparaxial Airy beams opens new capabilities in optical traps and tweezers, optical detection of invisibility cloacks and selective on-chip manipulation of nanoparticles.
Description
© 2012 Optical Society of America. The Authors thank Val´eria Loureiro da Silva for valuable advice. Financial support from the Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), Brazil, under project 477260/2010-1 and Spanish Ministry of Science and Innovation under projects TEC 2008-04105 and TEC 2011-23629 is acknowledged. P.V. acknowledges a PQ fellowship of CNPq. The publication of this work was supported by Servicio Nacional de Aprendizagem Industrial (SENAI)-DR/Bahia, Brazil.
Keywords
Citation
1. M. V. Berry and N. L. Balazs, “Nonspreading wave packets”, Am. J. Phys.47, 264 –267 (1979). 2. G. A. Siviloglou and D. N. Christodoulides, “Accelerating finite energy Airy beams”, Opt. Lett.32, 979–981 (2007). 3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Observation of accelerating Airy beams”, Phys. Rev. Lett.99, 213901 (2007). 4. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, “Ballistic dynamics of Airy beams”, Opt. Lett.33, 207–209 (2008). 5. D. M. Cottrell, J. A. Davis, and T. M. Hazard, “Direct generation of accelerating Airy beams using a 3/2 phase-only pattern”, Opt. Lett.34, 2634–2636 (2009). 6. J. A. Davis, M. J. Mitry, M. A. Bandres, I. Ruiz, K. P. McAuley, and D. M. Cottrell, “Generation of accelerating Airy and accelerating parabolic beams using phase-only patterns”, Appl. Opt.48, 3170–3176 (2009). 7. M. A. Bandres and J. C. Gutiérrez-Vega, “Airy-Gauss beams and their transformation by paraxial optical systems”, Opt. Express15, 16719–16728 (2007). 8. J. A. Davis, M. J. Mintry, M. A. Bandres, and D. M. Cottrell, “Observation of accelerating parabolic beams”, Opt. Express16, 12866–12871 (2008). 9. J. E. Morris, M. Mazilu, J. Baumgartl, T. Ciz̃már, and K. Dholakia, “Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength”, Opt. Express17, 13236–13245 (2009). 10. M. I. Carvalho and M. Facão, “Propagation of Airy-related beams”, Opt. Express18, 21938–21949 (2010). 11. P. Vaveliuk, G. F. Zebende, M. A. Moret, and B. Ruiz, “Propagating free-space nonparaxial beams”, J. Opt. Soc. Am. A24, 3297–3302 (2007). 12. A. V. Novitsky and D. V. Novitsky, “Nonparaxial Airy beams: role of evanescent waves”, Opt. Lett.34, 3430–3432 (2009). 13. I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations”, Phys. Rev. Lett.108, 163901 (2012). 14. Z. Chen, “Viewpoint: light bends itself into an arcs”, Phys.5, 44 (2012). 15. A. V. Novitsky and D. V. Novitsky, “Negative propagation of vector Bessel beams”, J. Opt. Soc. Am. A24, 2844–2849 (2007). 16. M. A. Salem and H. Bağci, “Energy flow characteristics of vector X-waves”, Opt. Express19, 8526–8532 (2011). 17. A. Salandrino and D. N. Christodoulides, “Airy plasmon: a nondiffracting surface wave”, Opt. Lett.35, 2082–2084 (2010). 18. A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Yu. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons”, Phys. Rev. Lett.107, 116802 (2011). 19. L. Li, T. Li, S. M. Wang, C. Zhang, and S. N. Zhu, “Plasmonic Airy beam generated by in-plane diffraction”, Phys. Rev. Lett.107, 126804 (2011). 20. P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, and X. Zhang, “Plasmonic Airy beams with dynamically controlled trajectories”, Opt. Lett.36, 3191–3193 (2011). 21. A. Salandrino and D. N. Christodoulides, “Viewpoint: Airy plasmons defeat diffraction on the surface”, Phys.4, 69 (2011). 22. T. Schneider, A. A. Serga, A. V. Chumak, C. W. Sandweg, S. Trudel, S. Wolff, M. P. Kostylev, V. S. Tiberkevich, A. N. Slavin, and B. Hillebrands, “Nondiffractive subwavelength wave beams in a medium with externally controlled anisotropy”, Phys. Rev. Lett.104, 197203 (2010). 23. W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, and Yu. S. Kivshar, “Plasmonic Airy beam manipulation in linear optical potentials”, Opt. Lett.36, 1164–1166 (2011). 24. J. W. Goodman, Introduction to Fourier Optics, (McGraw-Hill, New York, 1968). 25. I. M. Besieris and A. M. Shaarawi, “A note on an accelerating finite energy Airy beam”, Opt. Lett.32, 2447–2449 (2007). 26. A. Lencina and P. Vaveliuk, “Squared-field amplitude modulus and radiation intensity nonequivalence within nonlinear slabs”, Phys. Rev. E71, 056614 (2005). 27. P. Vaveliuk, B. Ruiz, and A. Lencina, “Limits of the paraxial aproximation in laser beams”, Opt. Lett.32, 927–929 (2007). 28. P. Vaveliuk and O. Martinez-Matos, “Physical interpretation of the paraxial estimator”, Opt. Commun.285, 4816–4820 (2012). 29. P. Vaveliuk, “Quantifying the paraxiality for laser beams from the M2-factor”, Opt. Lett.34, 340–342 (2009). 30. P. Vaveliuk and O. Martinez-Matos, “Effect of ABCD transformations on beam paraxiality”, Opt. Express19, 25944–25953 (2011). 31. Z. Zheng, B.-F. Zhang, H. Chen, J. Ding, and H.-T. Wang, “Optical trapping with focused Airy beams”, Appl. Opt.50, 43–49 (2011). 32. M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, “Parallel and selective trapping in a patterned plasmonic landscape”, Nature Phys.3, 477–480 (2007). 33. B. Zhang and B.-I. Wu, “Electromagnetic detection of a perfect invisibility cloak”, Phys. Rev. Lett.103, 243901 (2009).
Collections