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

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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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A. Lerer

Southern Federal University

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Email: lerer@sfedu.ru
俄罗斯联邦, Zorge St., 5, Rostov-on-Don, 344090

参考

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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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