Skip to main content
SpringerLink
Log in

Self-accelerating Airy Beams: Generation, Control, and Applications

  • Chapter
  • First Online:
Nonlinear Photonics and Novel Optical Phenomena

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 170))

Abstract

Recently, a specific type of nondiffracting beams named self-accelerating Airy beams has attracted a great deal of interest due to their unique properties and many proposed applications in areas such as optical micromanipulation, plasma guidance, vacuum electron acceleration, and routing surface plasmon polaritons. In contradistinction with Bessel beams, Airy beams do not rely on simple conical superposition of plane waves, and they possess the properties of self-acceleration in addition to nondiffraction and self-healing. For the past few years, tremendous research work has been devoted to the study of Airy beams, from theoretical predictions to experimental observations, from linear control to nonlinear self-trapping, and from fundamental aspects to demonstrations of potential applications. In this chapter, we provide an overview on generation and control of Airy beams and recent developments in the area.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. M.V. Berry, N.L. Balazs, Am. J. Phys. 47, 264 (1979)

    Article  ADS  Google Scholar 

  2. K. Unnikrishnan, A.R.P. Rau, Am. J. Phys. 64, 1034 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987)

    Article  ADS  Google Scholar 

  4. J. Durnin, J.J. Miceli, J.H. Eberly, Phys. Rev. Lett. 58, 1499 (1987)

    Article  ADS  Google Scholar 

  5. J.C. Gutiérrez-Vega, M.D. Iturbe-Castillo, S. Chávez-Cerda, Opt. Lett. 25, 1493 (2000)

    Article  ADS  Google Scholar 

  6. M.A. Bandres, J.C. Gutiérrez-Vega, S. Chávez-Cerda, Opt. Lett. 29, 44 (2004)

    Article  ADS  Google Scholar 

  7. D. McGloin, K. Dholakia, Contemp. Phys. 46, 15 (2005)

    Article  ADS  Google Scholar 

  8. R. Stützle et al., Phys. Rev. Lett. 95, 110405 (2005)

    Article  ADS  Google Scholar 

  9. L.I. Schiff, Quantum Mechanics, 3rd edn. (McGraw-Hill, New York, NY, 1968)

    Google Scholar 

  10. F. Gori, G. Guattari, C. Podovani, Opt. Commun. 64, 491 (1987)

    Article  ADS  Google Scholar 

  11. J. Durnin, J.J. Miceli, J.H. Eberly, Phys. Rev. Lett. 66, 838 (1991)

    Article  ADS  Google Scholar 

  12. G.A. Siviloglou, D.N. Christodoulides, Opt. Lett. 32, 979 (2007)

    Article  ADS  Google Scholar 

  13. G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007)

    Article  ADS  Google Scholar 

  14. J. Baumgartl, M. Mazilu, K. Dholakia, Nat. Photonics 2, 675 (2008)

    Article  ADS  Google Scholar 

  15. P. Zhang, J. Prakash, Z. Zhang, M.S. Mills, N.K. Efremidis, D.N. Christodoulides, Z. Chen, Opt. Lett. 36, 2883 (2011)

    Article  ADS  Google Scholar 

  16. Z. Zheng, B. Zhang, H. Chen, J. Ding, H. Wang, Appl. Opt. 50, 43 (2011)

    Article  ADS  Google Scholar 

  17. P. Polynkin, M. Kolesik, J.V. Moloney, G.A. Siviloglou, D.N. Christodoulides, Science 324, 229 (2009)

    Article  ADS  Google Scholar 

  18. P. Polynkin, M. Kolesik, J. Moloney, Phys. Rev. Lett. 103, 123902 (2009)

    Article  ADS  Google Scholar 

  19. J. Li, W. Zang, J. Tian, Opt. Exp. 18, 7300 (2010)

    Article  Google Scholar 

  20. J. Li, X. Fan, W. Zang, J. Tian, Opt. Lett. 36, 648 (2011)

    Article  ADS  Google Scholar 

  21. A. Salandrino, D.N. Christodoulides, Opt. Lett. 35, 2082 (2010)

    Article  ADS  Google Scholar 

  22. D.M. Greenberger, Am. J. Phys. 48, 256 (1980)

    Article  ADS  Google Scholar 

  23. O. Vallée, M. Soares, Airy Functions and Applications to Physics (Imperial College Press, London, 2004)

    Google Scholar 

  24. D.N. Christodoulides, T.H. Coskun, Opt. Lett. 21, 1460 (1996)

    Article  ADS  Google Scholar 

  25. I.M. Besieris, A.M. Shaarawi, Opt. Lett. 32, 2447 (2007)

    Article  ADS  Google Scholar 

  26. I.M. Besieris, A.M. Shaarawi, R.W. Ziolkowski, Am. J. Phys. 62, 519 (1994)

    Article  ADS  Google Scholar 

  27. D.M. Cottrell, J.A. Davis, T.M. Hazard, Opt. Lett. 34, 2634 (2009)

    Article  ADS  Google Scholar 

  28. H.T. Dai, X.W. Sun, D. Luo, Y.J. Liu, Opt. Exp. 17, 19365 (2009)

    Article  ADS  Google Scholar 

  29. T. Ellenbogen, N. Voloch, A. Ganany-Padowicz, A. Arie, Nat. Photonics 3, 395 (2009)

    Article  ADS  Google Scholar 

  30. D.G. Papazoglou, S. Suntsov, D. Abdollahpour, S. Tzortzakis, Phys. Rev. A 81, 061807(R) (2010)

    Article  ADS  Google Scholar 

  31. S. Longhi, Opt. Lett. 36, 716 (2011)

    Article  ADS  Google Scholar 

  32. A. Efimov, C. Schaffer, D.H. Reitze, J. Opt. Soc. Am. B 12, 1968 (1995)

    Article  ADS  Google Scholar 

  33. M. Miyagi, S. Nishida, Appl. Opt. 18, 678 (1979)

    Article  ADS  Google Scholar 

  34. D.N. Christodoulides, N.K. Efremidis, P. Di Trapani, B.A. Malomed, Opt. Lett. 29, 1446 (2004)

    Article  ADS  Google Scholar 

  35. M. Weiner, Rev. Sci. Instrum. 71, 1929 (2000)

    Article  ADS  Google Scholar 

  36. D. Abdollahpour, S. Suntsov, D.G. Papazoglou, S. Tzortzakis, Phys. Rev. Lett. 105, 253901 (2010)

    Article  ADS  Google Scholar 

  37. A. Chong, W. Renninger, D.N. Christodoulides, F.W. Wise, Nat. Photonics 4, 103 (2010)

    Article  ADS  Google Scholar 

  38. N.K. Efremidis, D.N. Christodoulides, Opt. Lett. 35, 4045 (2010)

    Article  ADS  Google Scholar 

  39. I. Chremmos, N.K. Efremidis, D.N. Christodoulides, Opt. Lett. 36, 1890 (2011)

    Article  ADS  Google Scholar 

  40. E. Greenfield, M. Segev, W. Walasik, O. Raz, Phys. Rev. Lett. 106, 213902 (2011)

    Article  ADS  Google Scholar 

  41. D.G. Papazoglou, N.K. Efremidis, D.N. Christodoulides, S. Tzortzakis, Opt. Lett. 36, 1842 (2011)

    Article  Google Scholar 

  42. P. Zhang, J. Prakash, Z. Zhang, Y. Hu, N. K. Efremidis, V. Kajorndejnu¬kul, D. N. Christodoulides, and Z. Chen, CLEO:QELS-Fundamental Science, paper QThS7 (2011)

    Google Scholar 

  43. J.W. Goodman, Introduction to Fourier Optics, 3rd edn. (Roberts & Company Publishers, Greenwood Village, CO, 2005)

    Google Scholar 

  44. G.A. Siviloglou, J. Broky, A. Dogariu, D.N. Christodoulides, Opt. Lett. 33, 207 (2008)

    Article  ADS  Google Scholar 

  45. Y. Hu, P. Zhang, C. Lou, S. Huang, J. Xu, Z. Chen, Opt. Lett. 35, 2260 (2010)

    Article  ADS  Google Scholar 

  46. Z. Ye, S. Liu, C. Lou, P. Zhang, Y. Hu, D. Song, J. Zhao, Z. Chen, Opt. Lett. 36, 3230 (2011)

    Article  ADS  Google Scholar 

  47. N.K. Efremidis, Opt. Lett. 36, 3006 (2011)

    Article  ADS  Google Scholar 

  48. V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, Nature 419, 145 (2002)

    Article  ADS  Google Scholar 

  49. Z. Bouchal, J. Wagner, M. Chlup, Opt. Commun. 151, 207 (1998)

    Article  ADS  Google Scholar 

  50. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Phys. Rev. A 45, 8185 (1992)

    Article  ADS  Google Scholar 

  51. J. Broky, G.A. Siviloglou, A. Dogariu, D.N. Christodoulides, Opt. Exp. 16, 12880 (2008)

    Article  ADS  Google Scholar 

  52. C. Hwang, D. Choi, K. Kim, B. Lee, Opt. Exp. 18, 23504 (2010)

    Article  ADS  Google Scholar 

  53. H.C. van de Hulst, Light Scattering by Small Particles (Dover Publication Inc., New York, NY, 1981)

    Google Scholar 

  54. S. Prahl, http://omlc.ogi.edu/calc/mie_calc.html (2008)

  55. http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-17-12880 (Media 1)

  56. J.F. Nye, M.V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  57. A. Dogariu, S. Amarande, Opt. Lett. 28, 10 (2003)

    Article  ADS  Google Scholar 

  58. http://www.opticsinfobase.org/abstract.cfm?URI=oe-16-17-12880 (Media 2)

  59. X. Chu, Opt. Lett. 36, 2701 (2011)

    Article  ADS  Google Scholar 

  60. Y. Gu, G. Gbur, Opt. Lett. 35, 3456 (2010)

    Article  ADS  Google Scholar 

  61. H.T. Dai, Y.J. Liu, D. Luo, X.W. Sun, Opt. Lett. 35, 4075 (2010)

    Article  ADS  Google Scholar 

  62. H.T. Dai, Y.J. Liu, D. Luo, X.W. Sun, Opt. Lett. 36, 1617 (2011)

    Article  ADS  Google Scholar 

  63. S. Barwick, Opt. Lett. 36, 2827 (2011)

    Article  ADS  Google Scholar 

  64. Y. Hu, S. Huang, P. Zhang, C. Lou, J. Xu, Z. Chen, Opt. Lett. 35, 3952 (2010)

    Article  ADS  Google Scholar 

  65. S. Jia, J. Lee, G.A. Siviloglou, D.N. Christodoulides, J.W. Fleischer, Phys. Rev. Lett. 104, 253904 (2010)

    Article  ADS  Google Scholar 

  66. X. Wang, A. Bezryadina, Z. Chen, K.G. Makris, D.N. Christodoulides, G.I. Stegeman, Phys. Rev. Lett. 98, 123903 (2007)

    Article  ADS  Google Scholar 

  67. T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, F. Lederer, Phys. Rev. Lett. 88, 093901 (2002)

    Article  ADS  Google Scholar 

  68. P. Zhang, C. Lou, S. Liu, J. Zhao, J. Xu, Z. Chen, Opt. Lett. 35, 892 (2010)

    Article  Google Scholar 

  69. M.I. Molina, Y.V. Kartashov, L. Torner, Y.S. Kivshar, Opt. Lett. 32, 2668 (2007)

    Article  ADS  Google Scholar 

  70. G. Bartal, O. Cohen, H. Buljan, J.W. Fleischer, O. Manela, M. Segev, Phys. Rev. Lett. 94, 163902 (2005)

    Article  ADS  Google Scholar 

  71. S. Liu, P. Zhang, X. Gan, F. Xiao, J. Zhao, Appl. Phys. B 99, 727 (2010)

    Article  ADS  Google Scholar 

  72. I. Dolev, A. Arie, Appl. Phys. Lett. 97, 171102 (2010)

    Article  ADS  Google Scholar 

  73. I. Dolev, T. Ellenbogen, A. Arie, Opt. Lett. 35, 1581 (2010)

    Article  ADS  Google Scholar 

  74. I. Dolev, T. Ellenbogen, N. Voloch-Bloch, A. Arie, Appl. Phys. Lett. 95, 201112 (2009)

    Article  ADS  Google Scholar 

  75. G.I. Stegeman, M. Segev, Science 286, 1518 (1999)

    Article  Google Scholar 

  76. D.N. Christodoulides, F. Lederer, Y. Silberberg, Nature 424, 817 (2003)

    Article  ADS  Google Scholar 

  77. S. Jia, J. Lee, J.W. Fleischer, G.A. Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 104, 253904 (2010)

    Article  ADS  Google Scholar 

  78. I. Kaminer, M. Segev, D.N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011)

    Article  ADS  Google Scholar 

  79. J. Baumgartl, T. Čižmár, M. Mazilu, V.C. Chan, A.E. Carruthers, B.A. Capron, W. McNeely, E.M. Wright, K. Dholakia, Opt. Exp. 18, 17130 (2010)

    Article  ADS  Google Scholar 

  80. W. Liu, D.N. Neshev, I.V. Shadrivov, A.E. Miroshnichenko, Y.S. Kivshar, Opt. Lett. 36, 1164 (2011)

    Article  ADS  Google Scholar 

  81. P. Zhang, S. Wang, Y. Liu, X. Yin, C. Lu, Z. Chen, X. Zhang, Opt. Lett. 36, 3191 (2011)

    Article  ADS  Google Scholar 

  82. A. Minovich, A.E. Klein, N. Janunts, T. Pertsch, D.N. Neshev, Y.S. Kivshar, Phys. Rev. Lett. 107, 116802 (2011)

    Article  ADS  Google Scholar 

  83. L. Li, T. Li, S.M. Wang, S.N. Zhu, Phys. Rev. Lett. 107, 126804 (2011)

    Article  ADS  Google Scholar 

  84. C. Hwang, K. Kim, B. Lee, Opt. Exp. 19, 7356 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, San Francisco State University, San Francisco, CA, 94132, USA

    Yi Hu, Peng Zhang & Zhigang Chen

  2. The Key Laboratory of Weak-Light Nonlinear Photonics, Ministry of Education and TEDA Applied Physics School, Nankai University, Tianjin, 300457, China

    Yi Hu & Zhigang Chen

  3. INRS-EMT, University of Quebec, 1650 Blvd. Lionel Boulet, Varennes, QC, Canada, J3X 1S2

    Yi Hu

  4. CREOL/College of Optics, University of Central Florida, Orlando, FL, 32816, USA

    Georgios A. Siviloglou & Demetrios N. Christodoulides

  5. Department of Applied Mathematics, University of Crete, Heraklion, Crete, 71409, Greece

    Nikolaos K. Efremidis

Authors
  1. Yi Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Georgios A. Siviloglou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Peng Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nikolaos K. Efremidis
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Demetrios N. Christodoulides
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Zhigang Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yi Hu .

Editor information

Editors and Affiliations

  1. , Physics & Astronomy, San Francisco State University, Holloway Ave 1600, San Francisco, 94132, USA

    Zhigang Chen

  2. INRS-EMT, Université du Québec, boul. Lionel-Boulet 1650, Varennes, J3X 1S2, Canada

    Roberto Morandotti

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media New York

About this chapter

Cite this chapter

Hu, Y., Siviloglou, G.A., Zhang, P., Efremidis, N.K., Christodoulides, D.N., Chen, Z. (2012). Self-accelerating Airy Beams: Generation, Control, and Applications. In: Chen, Z., Morandotti, R. (eds) Nonlinear Photonics and Novel Optical Phenomena. Springer Series in Optical Sciences, vol 170. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3538-9_1

Download citation

Publish with us

Policies and ethics

Search

Navigation