Simulation of photon transport in a fractal waveguide considered for 3–5 order nonlinearity
- 作者: Trofimov R.R.1, Konobeeva N.N.1
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隶属关系:
- Volgograd State University
- 期: 卷 89, 编号 3 (2025)
- 页面: 488–492
- 栏目: Articles
- URL: https://hum-ecol.ru/0367-6765/article/view/686034
- DOI: https://doi.org/10.31857/S0367676525030269
- EDN: https://elibrary.ru/FTYHMD
- ID: 686034
如何引用文章
详细
We study the features of quantum transport of photons in a waveguide lattice with a fractal structure of two types — a triangle and a Sierpinski square, formed by hexagons. Based on the discrete Schrodinger equation, considering 3–5 order nonlinearity, the evolution of the system is analyzed. The influence of fractal geometry on quantum transport of photons in a waveguide lattice is revealed.
作者简介
R. Trofimov
Volgograd State University
Email: yana_nn@volsu.ru
Volgograd, 400062 Russia
N. Konobeeva
Volgograd State UniversityVolgograd, 400062 Russia
参考
- Семенова Е.М., Иванов Д.В., Ляхова М.Б. и др. // Изв. РАН. Сер. физ. 2021. Т. 85. № 9. С. 1245 // Semenova E.M., Ivanov D.V., Lyahova M.B. // Bull. Russ. Acad. Sci. Phys. 2021. V. 85. No. 9. P. 955.
- Иванов Д.В., Антонов А.С., Кузьмин Н.Б. и др. // Изв. РАН. Сер. физ. 2023. Т. 87. № 10. С. 1389; Ivanov D.V., Antonov A.S., Kuz’min N.B. et al. // Bull. Russ. Acad. Sci. Phys. 2023. V. 87. No. 10. P. 1425.
- Vu C.C., Truong T.T.N., Kim J. // Materials Today. Physics. 2022. V. 27. P. 100795.
- Perets H.B., Lahini Y., Pozzi F. et al. // Phys. Rev. Lett. 2008. V. 100. P. 170506.
- Ghadiyali M., Chacko S. // ArXiv: 1904.11862. 2019.
- Westerhout T., van Veen E., Katsnelson M.I. et al. // Phys. Rev. B. 2018. V. 97. P. 2054348.
- Pedersen T.G. // Phys. Rev. B. 2020. V. 101. P. 235427.
- Hanafi H., Menz P., Denz C. // In: Nonlinear Optics. Washington, 2021. P. NM2A.6.
- Biesenthal T., Maczewsky L., Yang Z. et al. // Science. 2022. V. 376. No. 6597. P. 1114.
- Li M., Li C., Yan L. et al. // Light. Sci. Appl. 2023. V. 12. Art. No. 262.
- ben-Avraham D., Havlin S. Diffusion and reactions in fractals and disordered systems. Cambridge: Cambridge Univ. Press, 2000.
- Sokolov I.M. // J. Phys. A. Math. Teor. 2016. V. 49. P. 095003.
- Reis F.D.A., Voller V.R. // Phys. Rev. E. 2019. V. 99. P. 042111.
- Sibatov R.T., Golmnkhaneh A.Kh., Meftakhutdinov R.M. et al. // Fractal Fract. 2022. V. 6. P. 115.
- Xu X.-Y., Wang X.-W., Chen D.-Y. et al. // Nature Photonics. 2021. V. 15. P. 703.
- Bagnato V.S., Frantzeskakis D.J., Kevrekidis P.G. et al. // Roman. Rep. Phys. 2015. V. 67. P. 5.
- Кандидов В.П., Чекалин С.В., Компанец В.О и др. // Сб. тезисов XI международного симпозиума по фотонному эхо и когерентной спектроскопии «ФЭКС-2017». (Светлогорск, 2017). С. 16.
- Tang H., Lin X.-F., Fen Z. et al. // Sci. Advances. 2018. V. 4. No. 5. Art. No. eaat3174.
- Eisenberg H.S., Silberberg Y., Morandotti R. et al. // Phys. Rev. Lett. 1998. V. 81. No. 16. P. 3383.
- Ashcroft N.W., Mermin N.D. Solid State Physics. Belmont: Brooks Cole, 1976.
- Corem N., Ditkowski A. // J. Sci. Comput. 2012. V. 53. No. 1. P. 35.
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