Talbot effect in anti-PT symmetric synthetic photonic lattices

Zhaofeng Liu; Siwei Tang; Zengrun Wen; Yuanmei Gao; Yangjian Cai; Liren Zheng

doi:10.3788/COL202422.031901

Chinese Optics Letters, Volume. 22, Issue 3, 031901(2024)

Talbot effect in anti-PT symmetric synthetic photonic lattices

Zhaofeng Liu¹, Siwei Tang¹, Zengrun Wen^1、*, Yuanmei Gao¹, Yangjian Cai^1,2、**, and Liren Zheng^1、***

¹Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250358, China

²School of Physical Science and Technology, Soochow University, Suzhou 215006, China

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References(37)

[1] H. F. Talbot. LXXVI. Facts relating to optical science. No. IV. Philos. Mag., 9, 401(2009).

[2] L. A. Hall, S. Ponomarenko, A. F. Abouraddy. Temporal Talbot effect in free space. Opt. Lett., 46, 3107(2021).

[3] J. T. Winthrop, C. R. Worthington. Theory of Fresnel images. I. Plane periodic objects in monochromatic light. J. Opt. Soc. Am. A., 55, 373(1965).

[4] K. Zhan, X. Kang, Q. Zhang et al. Discrete Talbot effect in reciprocal and nonreciprocal dimer lattices. J. Opt. Soc. Am. B., 39, 3283(2022).

[5] V. Makhalov, A. Turlapov. Order in the interference of a long chain of Bose condensates with unrestricted phases. Phys. Rev. Lett., 122, 090403(2019).

[6] J. Feng, Z. Zhang, M. Xiao. Talbot effects induced by gain-loss modulated optical lattices in a coherent atomic medium. Phys. Rev. A., 103, 063516(2021).

[7] F. Chamizo, O. P. Santillán. About the quantum Talbot effect on the sphere. J. Phys. A, 56, 255302(2023).

[8] P. Mantashyan, G. Mantashian, D. Hayrapetyan. Talbot effect in InAs/GaAs coupled cylindrical quantum dots ensemble. Phys. E, 148, 115662(2023).

[9] M. Balyan, L. Levonyan, K. Trouni. X-ray dynamical diffraction Talbot effect behind a crystal in free space. Acta. Cryst. A, 77, 149(2021).

[10] M. K. Balyan. X-ray dynamical diffraction analogues of the integer and fractional Talbot effects. J. Synchrotron Rad., 26, 1650(2019).

[11] H. Ma, S. Su, H. Zhou et al. Tunable plasmonic talbot effect based on graphene monolayer. Appl. Sci., 10, 4782(2020).

[12] S. Farhadi, A. Farmani, A. Hamidi. Figure of merit enhancement of surface plasmon resonance biosensor based on Talbot effect. Opt. Quantum Electron., 53, 518(2021).

[13] M. V. Tsarev, A. Ryabov, P. Baum. Free-electron qubits and maximum-contrast attosecond pulses via temporal Talbot revivals. Phys. Rev. Res., 3, 043033(2021).

[14] G. Calogero, N. R. Papior, B. Kretz et al. Electron transport in nanoporous graphene: probing the Talbot effect. Nano. Lett., 19, 576(2019).

[15] K. Pelka, J. Graf, T. Mehringer et al. Prime number decomposition using the Talbot effect. Opt. Express, 26, 15009(2018).

[16] K. Li, F. Xia, M. Wang et al. Discrete Talbot effect in dielectric graphene plasmonic waveguide arrays. Carbon, 118, 192(2017).

[17] K. Zhan, L. Dou, R. Jiao et al. Talbot effect in arrays of helical waveguides. Opt. Lett., 46, 322(2021).

[18] X. Kang, H. Wang, L. Dou et al. Discrete Talbot effect in modulated lattices with PT symmetric perturbations. J. Opt. Soc. Am. B., 40, 856(2023).

[19] S. Wang, B. Wang, P. Lu. PT-symmetric Talbot effect in a temporal mesh lattice. Phys. Rev. A., 98, 043832(2018).

[20] S. Wang, C. Qin, B. Wang et al. Discrete temporal Talbot effect in synthetic mesh lattices. Opt. Express, 26, 19235(2018).

[21] Z. Wen, B. Lu, K. Wang et al. Discrete optical propagation in one-dimensional synthetic mesh lattice. J. Opt. Soc. Am. B, 37, 3152(2020).

[22] L. Li, H. Liu, X. Chen. Dynamic manipulation of nonlinear Talbot effect with structured light. Opt. Lett., 46, 1281(2021).

[23] K. Zhan, L. Dou, X. Kang et al. Controllable discrete Talbot self-imaging effect in Hermitian and non-Hermitian Floquet superlattices. Opt. Express, 30, 35256(2022).

[24] R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides et al. Discrete Talbot effect in waveguide arrays. Phys. Rev. Lett., 95, 053902(2005).

[25] Z. Chen, Y. Zhang, M. Xiao. Discrete Talbot effect in two-dimensional waveguide arrays. Opt. Express, 23, 14724(2015).

[26] C. M. Bender, S. Boettcher. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett., 80, 5243(1998).

[27] D. C. Brody, C. M. Bender, H. F. Jones. Complex extension of quantum mechanics. Phys. Rev. Lett., 89, 270401(2002).

[28] L. Ge, H. E. Türeci. Antisymmetric PT-photonic structures with balanced positive- and negative-index materials. Phys. Rev. A., 88, 053810(2013).

[29] Y. Yue, J. Li, Z. Zhang et al. Interaction between double solitons in anti-PT symmetric synthetic photonic lattices. Opt. Commun., 529, 129082(2023).

[30] A. Guo, G. J. Salamo, D. Duchesne et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett., 103, 093902(2009).

[31] C. E. Rüter, K. G. Makris, R. El-Ganainy et al. Observation of parity–time symmetry in optics. Nat. Phys., 6, 192(2010).

[32] S.-L. Wang, B. Wang, C.-Z. Qin et al. Rabi oscillations of optical modes in a waveguide with dynamic modulation. Opt. Quantum Electron., 49, 389(2017).

[33] I. D. Vatnik, A. Tikan, G. Onishchukov et al. Anderson localization in synthetic photonic lattices. Sci. Rep., 7, 4301(2017).

[34] R. El-Ganainy, K. G. Makris, D. N. Christodoulides et al. Theory of coupled optical PT-symmetric structures. Opt. Lett., 32, 2632(2007).

[35] Z. H. Musslimani, K. G. Makris, R. El-Ganainy et al. Optical solitons in PT periodic potentials. Phys. Rev. Lett., 100, 030402(2008).

[36] A. Regensburger, C. Bersch, M. A. Miri et al. Parity-time synthetic photonic lattices. Nature, 488, 167(2012).

[37] M. Mohammad-Ali, A. Regensburger, U. Peschel et al. Optical mesh lattices with PT symmetry. Phys. Rev. A, 86, 023807(2012).

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Zhaofeng Liu, Siwei Tang, Zengrun Wen, Yuanmei Gao, Yangjian Cai, Liren Zheng. Talbot effect in anti-PT symmetric synthetic photonic lattices[J]. Chinese Optics Letters, 2024, 22(3): 031901

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Paper Information

Category: Nonlinear Optics

Received: Sep. 26, 2023

Accepted: Nov. 3, 2023

Posted: Nov. 3, 2023

Published Online: Mar. 22, 2024

The Author Email: Zengrun Wen (wenzengrun@163.com), Yangjian Cai (yangjiancai@sdnu.edu.cn), Liren Zheng (zlrgym@sdnu.edu.cn)

DOI:10.3788/COL202422.031901

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology