Researching | Propagation dynamics of a spatiotemporal vortex pulse in the spatial fractional system

Photonics Research, Volume. 12, Issue 9, 2027(2024)

Propagation dynamics of a spatiotemporal vortex pulse in the spatial fractional system

Jinqi Song¹, Fengqi Liu¹, Mingli Sun², Xiangyu Tong¹, Naichen Zhang¹, Bingsong Cao³, Wenzhe Wang⁴, Kaikai Huang^1、*, Xian Zhang⁵, and Xuanhui Lu¹

Author Affiliations

¹Physics Department, Zhejiang University, Hangzhou 310027, China

²Zhejiang University of Science and Technology, Hangzhou 310023, China

³School of Science, Huzhou University, Huzhou 313000, China

⁴Computer Science Department, Zhejiang University, Hangzhou 310027, China

⁵Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

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[1] Y. Shen, Q. Zhan, L. G. Wright. Roadmap on spatiotemporal light fields. J. Opt., 25, 093001(2022).

[2] W. Chen, Y. Liu, Y. Lu. Spatiotemporal optical vortices: toward tailoring orbital angular momentum of light in full space-time. ACS Photon., 10, 2011-2019(2023).

[3] A. Chong, C. Wan, J. Chen. Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum. Nat. Photonics, 14, 350-354(2020).

[4] C. Wan, Q. Cao, J. Chen. Toroidal vortices of light. Nat. Photonics, 16, 519-522(2022).

[5] H. Wang, C. Guo, W. Jin. Engineering arbitrarily oriented spatiotemporal optical vortices using transmission nodal lines. Optica, 8, 966-971(2021).

[6] K. Y. Bliokh. Spatiotemporal vortex pulses: angular momenta and spin-orbit interaction. Phys. Rev. Lett., 126, 243601(2021).

[7] M. Yessenov, J. Free, Z. Chen. Space-time wave packets localized in all dimensions. Nat. Commun., 13, 4573(2021).

[8] M. Yessenov, Z. Chen, M. P. J. Lavery. Vector space-time wave packets. Opt. Lett., 47, 4131-4134(2022).

[9] Y. Shen, Q. Zhang, P. Shi. Optical skyrmions and other topological quasiparticles of light. Nat. Photonics, 18, 15-25(2022).

[10] C. Li, S. Wang, X. Li. Spatiotemporal pulse weaving scalar optical hopfions. Light Sci. Appl., 12, 54(2023).

[11] L. Rego, K. M. Dorney, N. J. Brooks. Generation of extreme-ultraviolet beams with time-varying orbital angular momentum. Science, 364, eaaw9486(2019).

[12] S. W. Hancock, S. Zahedpour, H. M. Milchberg. Second-harmonic generation of spatiotemporal optical vortices and conservation of orbital angular momentum. Optica, 8, 594-597(2021).

[13] L. Zhu, X. Zhang, G. Rui. Optical skipping rope induced transverse OAM for particle orbital motion parallel to the optical axis. Nanophotonics, 12, 4351-4359(2023).

[14] F. Sun, W. Wang, H. Dong. Generation of isolated attosecond electron sheet via relativistic spatiotemporal optical manipulation. Phys. Rev. Res., 6, 013075(2024).

[15] N. Laskin. Fractional quantum mechanics. Phys. Rev. E, 62, 3135-3145(2000).

[16] N. Laskin. Fractional Schrödinger equation. Phys. Rev. E, 66, 056108(2002).

[17] A. Liemert, A. Kienle. Fractional Schrödinger equation in the presence of the linear potential. Mathematics, 4, 31(2016).

[18] Y. Zhang, X. Liu, M. R. Belić. Propagation dynamics of a light beam in a fractional Schrödinger equation. Phys. Rev. Lett., 115, 180403(2015).

[19] D. Colas. Self-accelerating beam dynamics in the space fractional Schrödinger equation. Phys. Rev. Res., 2, 033274(2020).

[20] Y. Zhang, H. Zhong, M. R. Beli. Diffraction-free beams in fractional Schrödinger equation. Sci. Rep., 6, 23645(2016).

[21] S. He, Z. Mo, J. Tu. Chirped Lommel Gaussian vortex beams in strongly nonlocal nonlinear fractional Schrödinger equations. Results Phys., 42, 106014(2022).

[22] M. J. Ablowitz, J. B. Been, L. D. Carr. Fractional integrable nonlinear soliton equations. Phys. Rev. Lett., 128, 184101(2022).

[23] B. Malomed. Optical solitons and vortices in fractional media: a mini-review of recent results. Photonics, 8, 353(2021).

[24] C. Huang, C. Li, H. Deng. Gap solitons in fractional dimensions with a quasi-periodic lattice. Ann. Phys., 531, 1900056(2019).

[25] M. Chen, S. Zeng, D. Lu. Optical solitons, self-focusing, and wave collapse in a space-fractional Schrödinger equation with a Kerr-type nonlinearity. Phys. Rev. E, 98, 022211(2018).

[26] X. Yao, X. Liu. Solitons in the fractional Schrödinger equation with parity-time-symmetric lattice potential. Photon. Res., 6, 875-879(2018).

[27] Y. Bao, S. Li, Y. Liu. Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential. Chaos Solitons Fractals, 156, 111853(2022).

[28] Y. Qiu, B. A. Malomed, D. Mihalache. Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential. Chaos Solitons Fractals, 140, 110222(2020).

[29] R. A. El-Nabulsi, W. Anukool. A family of nonlinear Schrodinger equations and their solitons solutions. Chaos Solitons Fractals, 166, 112907(2023).

[30] Y. Zhang, H. Zhong, M. R. Belić. PT symmetry in a fractional Schrödinger equation. Laser Photon. Rev., 10, 526-531(2016).

[31] S. Longhi. Fractional Schrödinger equation in optics. Opt. Lett., 40, 1117-1120(2015).

[32] S. Liu, Y. Zhang, B. Malomed. Experimental realisations of the fractional Schrödinger equation in the temporal domain. Nat. Commun., 14, 222(2023).

[33] N. Jacob, F.-Y. Wang. Higher order eigenvalues for non-local Schrödinger operators. Commun. Pure Appl. Anal., 17, 191-208(2018).

[34] G. Ascione, J. Lőrinczi. Potentials for non-local Schrödinger operators with zero eigenvalues. J. Differ. Equ., 317, 264-364(2022).

[35] K. K. Ali, M. Maneea. Optical soliton solutions for space fractional Schrödinger equation using similarity method. Results Phys., 46, 106284(2023).

[36] A. Biswas, J. Lőrinczi. Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators. J. Differ. Equ., 267, 267-306(2019).

[37] W. Chen, W. Zhang, Y. Liu. Time diffraction-free transverse orbital angular momentum beams. Nat. Commun., 13, 4021(2022).

[38] M. Dallaire, N. McCarthy, M. Piché. Spatiotemporal Bessel beams: theory and experiments. Opt. Express, 17, 18148-18164(2009).

[39] S. W. Hancock, S. Zahedpour, H. M. Milchberg. Mode structure and orbital angular momentum of spatiotemporal optical vortex pulses. Phys. Rev. Lett., 127, 193901(2021).

[40] B. Ghosh, A. Daniel, B. Gorzkowski. Azimuthal backflow in light carrying orbital angular momentum. Optica, 10, 1217-1222(2023).

[41] M. V. Berry. Quantum backflow, negative kinetic energy, and optical retro-propagation. J. Phys. A, 43, 415302(2010).

[42] M. V. Berry, S. Popescu. Evolution of quantum superoscillations and optical superresolution without evanescent waves. J. Phys. A, 39, 6965-6977(2006).

[43] Y. Eliezer, T. Zacharias, A. Bahabad. Observation of optical backflow. Optica, 7, 72-76(2020).

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Jinqi Song, Fengqi Liu, Mingli Sun, Xiangyu Tong, Naichen Zhang, Bingsong Cao, Wenzhe Wang, Kaikai Huang, Xian Zhang, Xuanhui Lu, "Propagation dynamics of a spatiotemporal vortex pulse in the spatial fractional system," Photonics Res. 12, 2027 (2024)

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Paper Information

Category: Physical Optics

Received: May. 9, 2024

Accepted: Jul. 1, 2024

Published Online: Aug. 30, 2024

The Author Email: Kaikai Huang (huangkaikai@zju.edu.cn)

DOI:10.1364/PRJ.529463

CSTR:32188.14.PRJ.529463

Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology