Chinese Optics Letters, Volume. 19, Issue 8, 082601(2021)
Temporal Airy–Talbot effect in linear optical potentials
[1] H. F. Talbot. Facts relating to optical science. Philos. Mag., 9, 401(1836).
[2] J. Wen, Y. Zhang, M. Xiao. The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics. Adv. Opt. Photon., 5, 83(2013).
[3] G. P. Agrawal. Nonlinear Fiber Optics(2013).
[4] J. Azaña, M. A. Muriel. Temporal Talbot effect in fiber gratings and its applications. Appl. Opt., 38, 6700(1999).
[5] R. Yang, Z. Xue, Z. Shi, L. Zhou, L. Zhu. Scalable Talbot effect of periodic array objects. Chin. Opt. Lett., 18, 030501(2020).
[6] Y. Lumer, L. Drori, Y. Hazan, M. Segev. Accelerating self-imaging: the Airy–Talbot effect. Phys. Rev. Lett., 115, 013901(2015).
[7] Y. Zhang, H. Zhong, M. R. Belić, X. Liu, W. Zhong, Y. Zhang, M. Xiao. Dual accelerating Airy–Talbot recurrence effect. Opt. Lett., 40, 5742(2015).
[8] Y. Zhang, H. Zhong, M. R. Belić, C. Li, Z. Zhang, F. Wen, Y. Zhang, M. Xiao. Fractional nonparaxial accelerating Talbot effect. Opt. Lett., 41, 3273(2016).
[9] G. A. Siviloglou, D. N. Christodoulides. Accelerating finite energy Airy beams. Opt. Lett., 32, 979(2007).
[10] G. A. Siviloglou, J. Broky, A. Dogariu, D. N. Christodoulides. Observation of Accelerating Airy beams. Phys. Rev. Lett., 99, 213901(2007).
[11] W. Liu, D. N. Neshev, I. V. Shadrivov, A. E. Miroshnichenko, Y. S. Kivshar. Plasmonic Airy beam manipulation in linear optical linears. Opt. Lett., 36, 1164(2011).
[12] Z. Ye, S. Liu, C. Lou, P. Zhang, Y. Hu, D. Song, J. Zhao, Z. Chen. Acceleration control of Airy beams with optically induced refractive-index gradient. Opt. Lett., 36, 3230(2011).
[13] X. Huang, Z. Deng, X. Fu. Dynamics of finite energy Airy beams modeled by the fractional Schrödinger equation with a linear potential. J. Opt. Soc. Am. B, 34, 3044(2017).
[14] S. Jia, J. Lee, J. W. Fleischer. Diffusion-trapped Airy beams in photorefractive media. Phys. Rev. Lett., 104, 253904(2010).
[15] N. K. Efremids. Airy trajectory engineering in dynamic linear index potentials. Opt. Lett., 36, 3006(2011).
[16] C.-Y. Hwang, K.-Y. Kim, B. Lee. Dynamic control of circular Airy beams with linear optical potentials. IEEE Photon. J., 4, 174(2012).
[17] H. Zhong, Y. Zhang, M. R. Belié, C. Li, F. Wen, Z. Zhang, Y. Zhang. Controllable circular Airy beams via dynamic linear potential. Opt. Express, 24, 7495(2016).
[18] G. G. Rozenman, M. Zimmermann, M. A. Efremov, W. P. Schleich, L. Shemer, A. Arie. Amplitude and phase of wave packets in a linear potential. Phys. Rev. Lett., 122, 124302(2019).
[19] X. Yan, L. Guo, M. Cheng, S. Chai. Free-space propagation of autofocusing Airy vortex beams with controllable intensity gradients. Chin. Opt. Lett., 17, 040101(2019).
[20] Y. Zhang, B. Wei, S. Liu, P. Li, X. Chen, Y. Wu, X. Dou, J. Zhao. Circular Airy beams realized via the photopatterning of liquid crystals. Chin. Opt. Lett., 18, 080008(2020).
[21] K. Zhan, Z. Yang, B. Liu. Trajectory engineering of Airy–Talbot effect via dynamic linear potential. J. Opt. Soc. Am. B, 35, 3044(2018).
[22] K. Zhan, J. Wang, R. Jiao, Z. Yang, B. Liu. Self-imaging effect based on circular Airy beams. Ann. Phys., 531, 1900293(2019).
[23] K. Zhan, R. Jiao, J. Wang, W. Zhang, Z. Yang, B. Liu. Self-imaging effect based on Airy beams with quadratic phase modulation. Ann. Phys., 532, 1900546(2020).
[24] Z. Li, P. Zhang, X. Mu, P. Jia, Y. Hu, Z. Chen, J. Xu. Guiding and routing of a weak signal via a reconfigurable gravity-like potential. Photon. Res., 7, 1087(2019).
[25] P. Jia, Z. Li, Y. Hu, Z. Chen, J. Xu. Visualizing a nonlinear response in a Schrödinger wave. Phys. Rev. Lett., 123, 234101(2019).
[26] I. Kaminer, Y. Lumer, M. Segev, D. N. Christodoulides. Causality effects on accelerating light pulses. Opt. Express, 19, 23132(2011).
[27] T. Han, B. Wang, P. Lu. Accelerating self-imaging effect for Airy pulse trains. Phys. Rev. A, 99, 053807(2019).
[28] M. Miyagi, S. Nishida. Pulse spreading in a single-mode fiber due to third-order dispersion. Appl. Opt., 18, 678(1979).
[29] C. Ament, P. Polynkin, J. V. Moloney. Supercontinuum generation with femtosecond self-healing Airy pulses. Phys. Rev. Lett., 107, 243901(2011).
[30] C.-C. Chang, H. P. Sardesai, A. M. Weiner. Dispersion-free fiber transmission for femtosecond pulses by use of a dispersion-compensating fiber and a programmable pulse shaper. Opt. Lett., 23, 283(1998).
[31] T. Han, H. Chen, C. Qin, W. Li, B. Wang, P. Lu. Airy pulse shaping using time-dependent power-law potentials. Phys. Rev. A, 97, 063815(2018).
[32] A. Banerjee, S. Roy. Trajectory manipulation of an Airy pulse near zero-dispersion wavelength under a free-carrier-generated linear potential. Phys. Rev. A, 100, 053816(2019).
[33] S. Wang, D. Fan, X. Bai, X. Zeng. Propagation dynamics of Airy pulses in optical fibers with periodic dispersion modulation. Phys. Rev. A, 89, 023802(2014).
[34] N. K. Efremidis, D. G. Papazoglou, S. Tzortzakis. Linear and nonlinear waves in surface and wedge index potentials. Opt. Lett., 37, 1874(2012).
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Tianwen Han, Hao Chen, Wenwan Li, Bing Wang, Peixiang Lu, "Temporal Airy–Talbot effect in linear optical potentials," Chin. Opt. Lett. 19, 082601 (2021)
Category: Physical Optics
Received: Oct. 7, 2020
Accepted: Dec. 21, 2020
Published Online: Apr. 27, 2021
The Author Email: Bing Wang (wangbing@hust.edu.cn)