Electrodynamic models magnetized graphene diffraction gratings, based on the solution of integral equations for plasmonic anisotropic structures

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Abstract

Two methods have been used to solve the boundary value problem of diffraction of a plane electromagnetic wave on a diffraction grating of graphene strips in the presence of a magnetic field. In solving the obtained integral and paired adder equations, the Galerkin method was used with a basis in the form of Legendre and Hegenbauer polynomials. As a result, systems of linear algebraic equations with fast internal convergence were obtained. All matrix elements of the system are expressed explicitly.

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About the authors

A. M. Lerer

Southern Federal University

Author for correspondence.
Email: lerer@sfedu.ru
Russian Federation, Zorge St., 5, Rostov-on-Don, 344090

References

  1. Tamagnone M., Slipchenko T. M., Moldovam C. et al. // Phys. Rev. B. 2018. V. 97. № 24. P. 241410.
  2. Chin M. L., Matschy S., Stawitzki F. et al. // J. Phys. Photonics. 2021. V.3. № 1. P. 01LT01.
  3. Kuzmin D. A., Bychkov I. V., Shavrov V. G. et al. // Nanophotonics. 2018. V. 7. № 3. P. 597. https://doi.org/10.1515/nanoph-2017–0095
  4. Ningning Wang, Linhui Ding, Weihua Wang // Phys. Rev. B. 2023. V. 108. № 8. P. 085406.
  5. Zesen Zhou, Zhilong Gan, Lei Cao // J. Phys. D: Appl. Phys. 2023. V. 56. P. 365104. https:// doi: 10.1088/1361–6463/acda45
  6. Liu Jian-Qiang, Zhou Yu-Xiu, Li Li, Wang Pan, Zayats A. V. // Opt. Express. 2015. V. 23. № . 10. P. 12525. https:// doi: 10.1364/OE.23.012524
  7. Lu Yafeng, Wang Chen, Zhao Shiqiang, Wen Yongzheng. // Frontiers Phys. 2021. V. 8. № 622839. https://doi: 10.3389/fphy.2020.622839
  8. Padmanabhan P., Boubanga-Tombet S., Fukidome H. et al. //Appl. Phys. Lett. 2020. V. 116. № 22. P. 221107. https://doi.org/10.1063/5.0006448
  9. Guo T., Argyropoulos C. J. // Appl. Phys. 2023. V.134. № 5. P. 050901. https://doi.org/10.1063/5.0152664
  10. Лерер А. М., Макеева Г. С., Черепанов В. В. // PЭ. 2021. T. 66. № 6. C. 543.
  11. Лерер А. М., Иванова И. Н., Макеева Г. С., Черепанов В. В. // Оптика и спектроскопия. 2021. Т. 129. № 3. С. 342.
  12. Лерер A. M. // PЭ. 2012. T. 57. № 11. C. 1160.
  13. Wang W. H., Apel S. P., Kinaret J. M.// Phys. Rev. B. 2012. V. 86. № 12. P. 125450.
  14. Hanson G. W. // J. Appl. Phys. 2008. V. 103. № 6. P. 064302.
  15. Градштейн И. С., Рыжик И. М. Таблицы интегралов, сумм, рядов и произведений. М.: Физматлит, 1963.

Supplementary files

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2. Fig. 1. Frequency dependences of the relative error of the results of calculating the conductivity σ using the Kubo formula [14] and the approximate formula (1) at B = 0: real (1, 1′) and imaginary parts of σ (2, 2′) at EF = = 0.25 (1, 2) and 0.45 eV (1′, 2′); τ = 1 ps.

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3. Fig. 2. Frequency dependences of the reflection coefficients R (a, c) and transmission coefficients T (b, d) at B = 0, 1, 2 and 3 T (numbers on the curves): s-polarization (a, b) and p-polarization of the incident wave (c, d). The characteristics are calculated using the PSU (solid curves) and ODDU (curves with asterisks) methods.

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4. Fig. 3. The ratio of the longitudinal and transverse components of the electric field strength on graphene ribbons at f= 0.95 (1), 1.5 (2) and 2 THz (3): s-polarization of the incident wave, (solid curves), p-polarization, (dashed).

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5. Fig. 4. Frequency dependences of the reflection coefficient when rotating the plane of incidence at different rotation angles,  = 0, 15, 30 and 45 degrees (numbers on the curves); magnetic field B= 2 T: s-polarization (a) and p-polarization of the incident wave (b).

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6. Fig. 5. Frequency dependences of the reflectivity of a DR with a gold film at B= 0 (a) and 2 T (b): s-polarization (1,1′) and p-polarization (2,2′) of the incident wave at a ribbon width of 40 (1,2) and 50 μm (1′,2′). Methods for calculating the SDR (solid curves) and the IRDR (asterisks).

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