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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

Cosine-Gaussian breathers controlled by the initial conditions in highly nonlocal media

verfasst von: Peng Pan, Yun-Shi Xu, Zhi-Ping Dai

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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Abstract

The study delves into the behavior of cos-Gaussian breathers navigating through a highly nonlocal medium, with a spotlight on their width and intensity variations under different parameter adjustments. The mathematical formulas describing the characteristics of cos-Gaussian beams have been derived. By controlling the parameters, the transverse width of cos-Gaussian beams can exhibit various variations, reflecting various mode transformations. We scrutinized how alterations in cosine parameters, offset distance, and initial energy manifest in the breather’s width and shape during propagation. Our observations underscore the significant influence of these parameters on the dynamic evolution and morphology of cos-Gaussian breathers, thereby unveiling the potential application of using parameters to control the dynamic characteristics of cos-Gaussian beam transmission.
Vorheriger Artikel Efficiency enhancement of a circularly polarised slotted waveguide antenna array for Sub-THz applications
Nächster Artikel New exact solutions of the (3+1)-dimensional double sine-Gordon equation by two analytical methods

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Literatur
Bi, K., Hao, H.Q., Zhang, J.W., Guo, R.: Soliton, breather-like and dark-soliton-breather-like solutions for the coupled long-wave-short-wave system. Nonlinear Dyn. 108, 543–554 (2022)CrossRef
Dai, Z.P., Yang, Z.J., Zhang, S.M., Pang, Z.G., You, K.M.: Transversal reverse transformation of anomalous hollow beams in strongly isotropic nonlocal media. Chin. Phys. B 23, 074208 (2014)ADSCrossRef
Dai, Z.P., Zeng, Q., Shen, S., Yang, Z.J.: Periodically revived elliptical Cos-Gaussian solitons and breathers in nonlocal nonlinear Schrödinger equation. Results Phys. 23, 104055 (2021)CrossRef
Dai, Z.P., Wang, Y.J., Wang, Y.C., Yang, Z.J., Pang, Z.G.: Propagation properties of controllable anomalous hollow beams in strongly nonlocal nonlinear media. Results Phys. 42, 105951 (2022)CrossRef
Deng, D., Guo, Q.: Ince-Gaussian solitons in strongly nonlocal nonlinear media. Opt. Lett. 32(21), 3206–3208 (2007)ADSCrossRef
Deng, B.J., Hao, H.Q.: Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation. Appl. Math. Lett. 140, 108550 (2023)MathSciNetCrossRef
Guo, Q., Luo, B., Yi, F., Chi, S., Xie, Y.: Large phase shift of nonlocal optical spatial solitons. Phys. Rev. E 69(1), 016602 (2004)ADSCrossRef
Guo, J.L., Yang, Z.J., Song, L.M., Pang, Z.G.: Propagation dynamics of tripole breathers in nonlocal nonlinear media. Nonlinear Dyn. 101, 1147–1157 (2020)CrossRef
Izdebskaya, Y.V., Desyatnikov, A.S., Kivshar, Y.S.: Self-induced mode transformation in nonlocal nonlinear media. Phys. Rev. Lett. 111, 123902 (2013)ADSCrossRef
Li, X.L., Guo, R.: Interactions of localized wave structures on periodic backgrounds for the coupled Lakshmanan-Porsezian-Daniel equations in birefringent optical fibers. Ann. Phys. 535, 2200472 (2022)CrossRef
Li, J., Yang, Z.J., Zhang, S.M.: Periodic collision theory of multiple Cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity. Appl. Math. Lett. 140, 108588 (2023)CrossRef
Liang, G., Hong, W., Guo, Q.: Spatial solitons with complicated structure in nonlocal nonlinear media. Opt. Express 25, 28784–28793 (2016)ADSCrossRef
Liu, D.S., Gao, Y.X., Fan, D.Y., Zhang, L.F.: Higher-charged vortex solitons in harmonic potential. Chaos Solitons Fractals 171, 113422 (2023)CrossRef
Lu, D., Hu, W., Zheng, Y., Liang, Y., Cao, L., Lan, S., Guo, Q.: Self-induced fractional Fourier transform and revivable higher-order spatial solitons in strongly nonlocal nonlinear media. Phys. Rev. A 78(4), 043815 (2008)ADSCrossRef
Lu, D., Zhan, Q., Duan, Q., Hu, W.: Power-variation-induced three-dimensional nonuniform scaling of beams in strongly nonlocal nonlinear media. Phys. Rev. A 87, 023815 (2013)ADSCrossRef
Ma, X., Egorov, O.A., Schumacher, S.: Creation and manipulation of stable dark solitons and vortices in microcavity polariton condensates. Phys. Rev. Lett. 118, 157401 (2017)ADSCrossRef
Maucher, F., Pohl, T., Skupin, S., Krolikowski, W.: Self-organization of light in optical media with competing nonlinearities. Phys. Rev. Lett. 116, 163902 (2016)ADSCrossRef
Rotschild, C., Alfassi, B., Cohen, O., Segev, M.: Long-range interactions between optical solitons. Nat. Phys. 2, 769–774 (2006)CrossRef
Shen, S., Yang, Z.J., Li, X.L., Zhang, S.M.: Periodic propagation of complex-valued hyperbolic-Cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media. Commun. Nonlinear Sci. Numer. Simul. 103, 106005 (2021)MathSciNetCrossRef
Shen, S., Yang, Z.J., Wang, H., Pang, Z.G.: Nonlinear propagation dynamics of lossy tripolar breathers in nonlocal nonlinear media. Nonlinear Dyn. 110(2), 1767–1776 (2022)CrossRef
Shen, S., Yang, Z.J., Pang, Z.G., Ge, Y.R.: The complex-valued astigmatic Cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics. Appl. Math. Lett. 125, 107755 (2022)CrossRef
Snyder, A.W., Mitchell, D.J.: Accessible solitons. Science 276, 1538–1541 (1997)CrossRef
Song, L., Yang, Z., Li, X., Zhang, S.: Controllable Gaussian-shaped soliton clusters in strongly nonlocal media. Opt. Express 26, 19182–19198 (2018)ADSCrossRef
Song, L., Yang, Z., Zhang, S., Li, X.: Spiraling anomalous vortex beam arrays in strongly nonlocal nonlinear media. Phys. Rev. A 99, 063817 (2019)ADSCrossRef
Song, L.M., Yang, Z.J., Li, X.L., Zhang, S.M.: Coherent superposition propagation of Laguerre-Gaussian and Hermite-Gaussian solitons. Appl. Math. Lett. 102, 106114 (2020)MathSciNetCrossRef
Sun, Z.Y., Deng, D., Pang, Z.G., Yang, Z.J.: Nonlinear transmission dynamics of mutual transformation between array modes and hollow modes in elliptical Sine-Gaussian cross-phase beams. Chaos Solitons Fractals 178, 114398 (2024)MathSciNetCrossRef
Wang, Q., Dumitru, M., Belic, M.R., Zhang, L., Ke, L., Zeng, L.: Controllable propagation paths of gap solitons. Opt. Lett. 47(5), 1041–1044 (2022)ADSCrossRef
Wang, Q., Mihalache, D., Belić, M.R., Zeng, L., Lin, J.: Spiraling Laguerre-Gaussian solitons and arrays in parabolic potential wells. Opt. Lett. 48(16), 4233–4236 (2023)ADSCrossRef
Yang, Z.J., Zhang, S.M., Li, X.L., Pang, Z.G., Bu, H.X.: High-order revivable complex-valued hyperbolic-Sine-Gaussian solitons and breathers in nonlinear media with a spatial nonlocality. Nonlinear Dyn. 94, 2563–2573 (2018)CrossRef
Yang, Z.J., Bu, H.X., Wang, Y.B., Li, X.L., Zhang, S.M.: Anomalous transverse transformation of astigmatic four-petal Gaussian beams in isotropic nonlocal nonlinear media. Results Phys. 10, 320–322 (2018)ADSCrossRef
Zhang, Y.Q., Liu, X., Belic, R.M., Zhong, W.P., Wen, F., Zhang, Y.P.: Anharmonic propagation of two-dimensional beams carrying orbital angular momentum in a harmonic potential. Opt. Lett. 16, 3786–3789 (2015)ADSCrossRef
Zhang, Y.Q., Belic, M.R., Zhang, L., Zhong, W.P., Zhu, D.Y., Wang, R.M., Zhang, Y.P.: Periodic inversion and phase transition of finite energy Airy beams in a medium with parabolic potential. Opt. Express 23, 10467–10480 (2015)ADSCrossRef
Zhang, L.F., Li, H.Z., Liu, Z., Zhang, J., Cai, W.Y., Gao, Y.X., et al.: Controlling Cosine-Gaussian beams in linear media with quadratic external potential. Opt. Express 29, 5128–5140 (2021)ADSCrossRef
Zhang, S., Zhou, Z., Zhou, Y., Xu, H., Yuan, Y., Han, Y., Zhou, Z., Yao, B., Qu, J.: Twisted Gaussian schell-model breathers and solitons in strongly nonlocal nonlinear media. Opt. Express 30, 32019–32030 (2022)ADSCrossRef
Zhang, L., Ke, L., Guo, Y., Zhang, X., Wang, Q.: Even and odd Laguerre-Gaussian chaoticons in nematic liquid crystal. Chaos Solitons Fractals 173, 113640 (2023)MathSciNetCrossRef
Zou, Z.F., Guo, R.: The Riemann-Hilbert approach for the higher-order Gerdjikov-Ivanov equation, soliton interactions and position shift. Commun. Nonlinear Sci. Numer. Simul. 124, 107316 (2023)MathSciNetCrossRef
Metadaten
Titel
Cosine-Gaussian breathers controlled by the initial conditions in highly nonlocal media
verfasst von
Peng Pan
Yun-Shi Xu
Zhi-Ping Dai
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-024-06590-6

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