Study of Localization-Delocalization Transition of Light in Photonic Moiré Lattices Fabricated with Saturable Nonlinear Materials

Article Preview

Abstract:

Recently, Moiré lattices have received much attention from physicists and materials scientists. These structures have opened the door to the exploration of numerous physical phenomena such as superconductivity, the commensurate-incommensurate transition, the appearance of quasicrystals at special rotation angles, or the two-dimensional localization-delocalization transition of light in linear systems. In this study, we propose photonic Moiré lattices induced by saturable nonlinear materials. After performing numerical simulations, it is observed that there exists a transition between delocalized and localized formation of laser beams under different geometrical conditions, commensurate and incommensurate lattices. The results suggest that Moiré lattices with their compactness and tunability would be utilized to control the light patterns in integrated optical devices.

You might also be interested in these eBooks

Info:

Periodical:

Solid State Phenomena (Volume 368)

Pages:

29-34

Citation:

Online since:

December 2024

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2024 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] M. Feuerbacher, "Moire, euler and self-similarity–the lattice parameters of twisted hexagonal crytals", Acta Crystallographica Section A: Foundations and Advances, vol. 77, pp.460-471, 2021.

DOI: 10.1107/s2053273321007245

Google Scholar

[2] Z. Hennighausen and S. Kar, "Twistronics: a turning point in 2D quantum materials", Electronic Structure, vol. 3, number 1, p.014004, 22 March (2021)

DOI: 10.1088/2516-1075/abd957

Google Scholar

[3] C. Huang, F. Ye, X. Chen, Y. V. Kartashov, V. V. Konotop, and T. Torner, "Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials", Scientific Report, vol. 6, p.32546, 2016.

DOI: 10.1038/srep32546

Google Scholar

[4] S. G. and J. Herrmann, "Soliton propagation in materials with saturable nonlinearity", Optical Society of America B, vol. 8, no. 11, pp.2296-2302, 1991.

Google Scholar

[5] Q. Fu, P. Wang, C. Huang, Y. V. Kartoshov, L. Torner, V. V. Konotop, and F. Ye, "Optical soliton formation controlled by angle twisting in photonic moiré lattices", Nature Photonics, vol. 14, no. November 2020, pp.663-668, 2020.

DOI: 10.1038/s41566-020-0679-9

Google Scholar

[6] J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices", Nature, vol. 422, pp.147-150, 2003.

DOI: 10.1038/nature01452

Google Scholar

[7] M. Skorobogatiy and J. Yang, "Chapter 7 Quasi-2D photonic crystal, section 7.2.1 Light propagation in low-index-constrast periodic photonic lattices", in Fundamentals of photonic crystal guiding, Cambridge university press, 2009, p.179.

DOI: 10.1017/cbo9780511575228.008

Google Scholar

[8] Y. S. Kivshar and G. P. Agrawal, "Chapter 1 Introduction, section 1.2.2 Nonlinear Response" in: Optical Solitons: from fibers to photonic crystals, Academic Press, 2003, p.7.

Google Scholar

[9] O. Borovkova, "Soliton generation and control in engineered materials" 2013.

Google Scholar

[10] G. I. S. and R. H. Stolen, "Waveguides and fibers for nonlinear optics", Optical Society of America B, vol. 6, no. 4, pp.652-662, 1989.

Google Scholar

[11] J.-L. C. and M. Kull, "Saturation of the nonlinear index of refraction in semiconductor-doped glass", Optical Society of America B, vol. 8, no. 1, pp.95-98, 1991.

Google Scholar

[12] P. Wang, Y. Zheng, X. Chen, C. Huang, Y. V. Kartashov, L. Torner, V. V. Konotop, and F. Ye, "Localization and delocalization of light in photonic moire lattices", Nature, vol. 577, pp.42-46, 2020.

DOI: 10.1038/s41586-019-1851-6

Google Scholar

[13] S. K. Ivanov, V. V. Konotop, Y. V. Kartashov, and L. Torner, "Vortex solitons in moiré optical lattices", Optics Letters, vol. 48, pp.3797-3800, 2023.

DOI: 10.1364/ol.494681

Google Scholar

[14] J. Yang, "Chapter 7 Numerical methods for nonlinear wave equations, section 7.2 Numerical methods for computations of solitary waves" in: Nonlinear waves in integrable and nonintegrable systems, SIAM, 2010, p.375.

DOI: 10.1137/1.9780898719680.ch7

Google Scholar

[15] Y. S. Kivshar and G. P. Agrawal, "Chapter 2 Spatial solitons, section 2.3.2 Vakhitov-Kolokolov Criterion" in: Optical soltions: from fibers to photonic crystals, Academic press, 2003, p.38.

Google Scholar

[16] N. V. Hung, L. X. T. Tai, M. Longobucco, R. Buczyński, B. Malomed, M. Trippenbach, "Self-trapping and switching of solitonic pulses in mismatched dual-core highly nonlinear fibers", Chaos, Solitons and Fractals, 167, 113045 (2023).

DOI: 10.1016/j.chaos.2022.113045

Google Scholar