Abstract
We investigate numerically and analytically light propagation in a single spiral waveguide formed in a nonlinear dielectric medium, in the regime of low spatial frequency of the waveguide rotation. We present a general variational approach for computing soliton parameters analytically, which includes various types of nonlinearity. In the particular case of media with cubic-quintic nonlinearity, analytical expressions found are in very good agreement with the numerical findings.
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References
Aleksić, N., Petrović, M., Strinić, A., Belić, M.: Solitons in highly nonlocal nematic liquid crystals: variational approach. Phys. Rev. A 85, 033826 (2012)
Cuevas, J., Malomed, B., Kevrekidis, P.G.: Two-dimensional discrete solitons in rotating lattices. Phys. Rev. E 76, 046608 (2007)
Henneberger, W.C.: Perturbation method for atoms in intense light beams. Phys. Rev. Lett. 21, 838–841 (1968)
Jia, S., Fleischer, J.: Nonlinear light propagation in rotating waveguide arrays. Phys. Rev. A 79, 041804 (R) (2009)
Kivshar, Y.S., Agrawal, G.: Optical Solitons: From Fibers to Photonic Crystals. Academic, San Diego (2003)
Longhi, S.: Wave packet dynamics in a helical optical waveguide. Phys. Rev. A 71, 055402 (2005)
Longhi, S.: Bloch dynamics of light waves in helical optical waveguide arrays. Phys. Rev. B 76, 195119 (2007)
Longhi, S., Janner, D., Marano, M., Laporta, P.: Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: dynamic-mode stabilization and radiation-loss suppression. Phys. Rev. E 67, 036601 (2003)
Lumer, Y., Plotnik, Y., Rechtsman, M., Segev, M.: Self-localized states in photonic topological insulators. Phys. Rev. Lett. 111, 243905 (2013)
Milián, C., Kartashov, Y.V., Torner, L.: Robust ultrashort light bullets in strongly twisted waveguide arrays. Phys. Rev. Lett. 123, 133902 (2019)
Parto, M., Lopez-Aviles, H., Antonio-Lopez, J.E., Khajavikhan, M., Amezcua-Correa, R., Christodoulides, D.N.: Observation of twist-induced geometric phases and inhibition of optical tunneling via Aharonov–Bohm effects. Sci. Adv. 5, 1–5 (2019)
Petrović, M.S., Strinić, A.I., Aleksić, N.B., Belić, M.R.: Rotating solitons supported by a spiral waveguide. Phys. Rev. A 98, 063822 (2018)
Rechtsman, M., Zeuner, J., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., Szameit, A.: Photonic Floquet topological insulators. Nature 496, 196–200 (2013)
Sakaguchi, H., Malomed, B.: Solitary vortices and gap solitons in rotating optical lattices. Phys. Rev. A 79, 043606 (2009)
Strinić, A.I., Petrović, M.S., Aleksić, N.B., Belić, M.R.: Quasi-stable rotating solitons supported by a single spiraling waveguide. Opt. Quant. Electron. 50, 126 (2018)
Zhang, X., Ye, F., Kartashov, Y., Vysloukh, V., Chen, X.: Localized waves supported by the rotating waveguide array. Opt. Lett. 41, 4106–4109 (2016)
Acknowledgements
This work was supported by the Ministry of Science of the Republic of Serbia under the Projects OI 171033 and 171006, by the NPRP 11S-1126-170033 project of the Qatar National Research Fund, and the Russian Science Foundation Project No. 18-11-00247. Authors acknowledge supercomputer time provided by the IT Research Computing group of Texas A&M University at Qatar. MRB acknowledges support by the Al Sraiya Holding Group.
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This article is part of the Topical Collection on Advanced Photonics Meets Machine Learning.
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Strinić, A.I., Aleksić, N.B., Belić, M.R. et al. Light propagation along a helical waveguide: variational approach. Opt Quant Electron 52, 310 (2020). https://doi.org/10.1007/s11082-020-02382-w
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DOI: https://doi.org/10.1007/s11082-020-02382-w