DOI QR코드

DOI QR Code

Propagation Dynamics of a Finite-energy Airy Beam with Sinusoidal Phase in Optical Lattice

  • Huang, Xiaoyuan (School of Electrical Engineering and Intelligentization, Dongguan University of Technology) ;
  • Chen, Manna (School of Electrical Engineering and Intelligentization, Dongguan University of Technology) ;
  • Zhang, Geng (School of Electrical Engineering and Intelligentization, Dongguan University of Technology) ;
  • Liu, Ye (School of Electrical Engineering and Intelligentization, Dongguan University of Technology) ;
  • Wang, Hongcheng (School of Electrical Engineering and Intelligentization, Dongguan University of Technology)
  • 투고 : 2020.04.10
  • 심사 : 2020.06.10
  • 발행 : 2020.08.25

초록

The propagation of a truncated Airy beam with spatial phase modulation (SPM) is investigated in Kerr nonlinearity with an optical lattice. Before the truncated Airy beam enters the optical lattice, a sinusoidal phase is introduced on the wave-front of the beam. The effect of the spatial phase modulation and optical lattice on propagation behavior is analyzed by direct numerical simulation. It is found that the propagation direction of a truncated Airy beam can be effectively controlled by adjusting the values of phase shift. The effects of optical amplitude, truncation factor, spatial modulation frequency, lattice period and lattice depth on the propagation are discussed in detail. By choosing a high modulation depth, the finite-energy Airy beam can be deflected with a large deflection angle in an optical lattice.

키워드

참고문헌

  1. G. A. Siviloglou and D. N. Christodoulides, "Accelerating finite energy Airy beams," Opt. Lett. 32, 979-981 (2007). https://doi.org/10.1364/OL.32.000979
  2. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, "Observation of accelerating Airy beams," Phys. Rev. Lett. 99, 213901 (2007). https://doi.org/10.1103/PhysRevLett.99.213901
  3. M. V. Berry and N. L. Balazs, "Nonspreading wave packets," Am. J. Phys. 47, 264-267 (1979). https://doi.org/10.1119/1.11855
  4. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, "Curved plasma channel generation using ultra intense Airy beams," Science 324, 229-232 (2009). https://doi.org/10.1126/science.1169544
  5. J. Baumgartl, M. Mazilu, and K. Dholakia, "Optically mediated particle clearing using Airy wavepackets," Nat. Photonics 2, 675-678 (2008). https://doi.org/10.1038/nphoton.2008.201
  6. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, "Airy-Bessel wave packets as versatile linear light bullets," Nat. Photonics 4, 103-106 (2010). https://doi.org/10.1038/nphoton.2009.264
  7. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009). https://doi.org/10.1038/nphoton.2009.95
  8. I. M. Allayarov and E. N. Tsoy, "Dynamics of Airy beams in nonlinear media," Phys. Rev. A 90, 023852 (2014). https://doi.org/10.1103/PhysRevA.90.023852
  9. R. Driben, V. V. Konotop, and T. Meier, "Coupled Airy breathers," Opt. Lett. 39, 5523-5526 (2014). https://doi.org/10.1364/OL.39.005523
  10. D. Abdollahpour, S. Suntsov, D. G. Papazoglou, and S. Tzortzakis, "Spatiotemporal Airy light bullets in the linear and nonlinear regimes," Phys. Rev. Lett. 105, 253901 (2010). https://doi.org/10.1103/PhysRevLett.105.253901
  11. B. Chen, C. Chen, X. Peng, Y. Peng, M. Zhou, D. Deng, and H. Guo, "Evolution of the ring Airy Gaussian beams with a spiral phase in the Kerr medium," J. Opt. 18, 055504 (2016). https://doi.org/10.1088/2040-8978/18/5/055504
  12. C. Chen, B. Chen, X. Peng, and D. Deng, "Propagation of Airy-Gaussian beam in Kerr medium," J. Opt. 17, 035504 (2015). https://doi.org/10.1088/2040-8978/17/3/035504
  13. C. Chen, X. Peng, B. Chen, Y. Peng, M. Zhou, X. Yang, and D. Deng, "Propagation of an Airy-Gaussian vortex beam in linear and nonlinear media," J. Opt. 18, 055505 (2016). https://doi.org/10.1088/2040-8978/18/5/055505
  14. Y. Zhang, M. Belić, Z. Wu, H. Zheng, K. Lu, Y. Li, and Y. Zhang, "Soliton pair generation in the interactions of Airy and nonlinear accelerating beams," Opt. Lett. 38, 4585- 4588 (2013). https://doi.org/10.1364/OL.38.004585
  15. Y. Zhang, M. R. Belić, H. Zheng, H. Chen, C. Li, Y. Li, and Y. Zhang, "Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media," Opt. Express 22, 7160-7171 (2014). https://doi.org/10.1364/OE.22.007160
  16. M. Shen, J. Gao, and L. Ge, "Solitons shedding from Airy beams and bound states of breathing Airy solitons in nonlocal nonlinear media," Sci. Rep. 5, 9814 (2015). https://doi.org/10.1038/srep09814
  17. M. Shen, W. Li, and R.-K. Lee, "Control on the anomalous interactions of Airy beams in nematic liquid crystals," Opt. Express 24, 8501-8511 (2016). https://doi.org/10.1364/OE.24.008501
  18. Y. Peng, X. Peng, B. Chen, M. Zhou, C. Chen, and D. Deng, "Interaction of Airy-Gaussian beams in Kerr media," Opt. Commun. 359, 116-122 (2016). https://doi.org/10.1016/j.optcom.2015.09.044
  19. M. Zhang, G. Huo, H. Zhong, and Z. Hui, "Interactions between self-accelerating beams in photorefractive media," Opt. Express 25, 22104-22112 (2017). https://doi.org/10.1364/OE.25.022104
  20. L. Zhang, X. Zhang, H. Wu, C. Li, D. Pierangeli, Y. Gao, and D. Fan, "Anomalous interaction of Airy beams in the fractional nonlinear Schrödinger equation," Opt. Express 27, 27936-27945 (2019). https://doi.org/10.1364/OE.27.027936
  21. P. Chen, H. Wang, M. Chen, and L. Zhang, "Coherent interactions of Airy beams and solitons in nonlocal nonlinear media," Opt. Commun. 459, 124915 (2020). https://doi.org/10.1016/j.optcom.2019.124915
  22. I. Golub and T. Mirtchev, "Absorption-free beam generated by a phase-engineered optical element," Opt. Lett. 34, 1528- 1530 (2009). https://doi.org/10.1364/OL.34.001528
  23. P. Zhang, T. Li, J. Zhu, X. Zhu, S. Yang, Y. Wang, X. Yin, and X. Zhang, "Generation of acoustic self-bending and bottle beams by phase engineering," Nat. Commun. 5, 4316 (2014). https://doi.org/10.1038/ncomms5316
  24. A. T. Ryan and G. P. Agrawal. "Steering of optical beams in nonlinear Kerr media by spatial phase modulation," Opt. Lett. 18, 1795-1797 (1993). https://doi.org/10.1364/OL.18.001795
  25. H. Wang, W. She, X. Hu, and S. Chen, "Steering the propagation of photovoltaic solitons by spatial phase modulation," Opt. Commun. 281, 4479-4483 (2008). https://doi.org/10.1016/j.optcom.2008.04.039
  26. H. Wang and X. Peng, "Steering beam propagation in optical lattice by spatial phase modulation," J. Opt. Soc. Am. B 29, 429-433 (2012). https://doi.org/10.1364/JOSAB.29.000429
  27. P. Chen, H. Wang, L. Zhang, Y. Liu, and D. Ling, "Steering the propagation of finite-energy Airy beam by spatial phase modulation," Results Phys. 13, 102196 (2019). https://doi.org/10.1016/j.rinp.2019.102196
  28. V. Arrizon, U. Ruiz, G. Mendez, and A. Apolinar-Iribe, "Zero order synthetic hologram with a sinusoidal phase carrier for generation of multiple beams," Opt. Express 17, 2663-2669 (2009). https://doi.org/10.1364/OE.17.002663