Generalized form of Snell's law in anisotropic media: A practical approach

Slawiński, Michael A.; Slawinski, Raphaël A.; Parkin, John M.

doi:10.1190/1.1885751

Cited by 2 publications

(3 citation statements)

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“…Inspired by [ 27 ], the unit in the middle of the metasurface is taken as the origin and coordinates are defined as mn , − mn , and so on when expanding in different directions on both sides of the origin unit. The formula for far-field scattering is shown in Equation (8) according to the relevant conventional phased array antenna theory [ 28 ] and generalized Snell’s law [ 29 ].

where

and

are the pitch and azimuth angles of the scattered field,

is the far-field of the unit,

is the propagation constant, and

are the amplitude and phase of the excitation current in the unit located at the coordinates ( x m , y n ), respectively.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Inspired by [27], the unit in the middle of the metasurface is taken as the origin and coordinates are defined as mn, −mn, and so on when expanding in different directions on both sides of the origin unit. The formula for far-field scattering is shown in Equation (8) according to the relevant conventional phased array antenna theory [28] and generalized Snell's law [29].…”

Section: Graphene-based Metasurface Codingmentioning

confidence: 99%

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Design of Tunable Broadband Graphene-Based Metasurface with Amplitude-Phase Modulation

et al. 2023

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Due to the growing scarcity of spectrum resources in the low-frequency band, the requirement of beam-reconfigurable antennas in the millimeter wave band is urgent. In this paper, a W-band graphene-based metasurface working in a broad bandwidth is proposed with reflective amplitude coding. Here, graphene sheets play a dual role in radiating and regulating electromagnetic waves. By adjusting the Fermi levels of graphene, the reflective amplitude and phase of the metasurface can be modulated simultaneously, enabling multi-beam switching and beam deflection in far-field. The proposed metasurface achieves amplitude-phase modulation within a significantly wide bandwidth which covers 75–91.5 GHz and 99.3–115 GHz. By optimizing the coding patterns, the proposed graphene-based metasurfaces are able to not only realize 2-D beam steering, but also achieve beam switching from single beam to four beams at 87 GHz. The proposed design provides a novel solution for the flexible manipulation of millimeter waves, which can be applied to various fields such as vehicle radar, satellite communication, 6G wireless communication, and beyond.

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where

and

are the pitch and azimuth angles of the scattered field,

is the far-field of the unit,

is the propagation constant, and

are the amplitude and phase of the excitation current in the unit located at the coordinates ( x m , y n ), respectively.…”

Section: Theoretical Analysismentioning

confidence: 99%

“…Inspired by [27], the unit in the middle of the metasurface is taken as the origin and coordinates are defined as mn, −mn, and so on when expanding in different directions on both sides of the origin unit. The formula for far-field scattering is shown in Equation (8) according to the relevant conventional phased array antenna theory [28] and generalized Snell's law [29].…”

Section: Graphene-based Metasurface Codingmentioning

confidence: 99%

Design of Tunable Broadband Graphene-Based Metasurface with Amplitude-Phase Modulation

et al. 2023

View full text Add to dashboard Cite

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“…Вектора медленности отраженных и преломленных волн находятся из закона Снеллиуса для анизотропных сред [Slawinski et al, 2000], который в данном случае заключается в равенстве проекций векторов медленности на ось X падающей, отраженных и преломленных волн. Вектора поляризации находятся путем нахождения собственных векторов соответствующей матрицы Кристоффеля.…”

Section: расчет коэффициентов отражения от границы азимутально-анизотропных средunclassified

Study of the influence of anisotropy parameters on reflection coefficients from a boundary between two azimuthally anisotropic media

Дугаров

Bekrenev

Нефедкина

2020

Russian Journal of geophysical technologies

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The paper considers an algorithm for calculating reflection coefficients from boundary between two HTI media. Analysis of the presence of anisotropy above and below the target boundary, as well as variations in the parameters of HTI media, was done. Interpretation of reflection data from the boundary between two HTI media with neglect of anisotropy above or below potentially leads to significant errors in estimation of symmetry axes directions, and hence fracturing orientation. Overestimation/underestimation of an elastic parameter in the overlying HTI medium could lead to a corresponding overestimation/underestimation of similar parameter in the underlying target layer in the result of AVAZ inversion. Furthermore, among the anisotropy parameters Thomsen parameter γ has most significant influence on the reflection coefficients dependences. Thus, the parameter γ could be used foremost as a result of the AVAZ inversion.

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Generalized form of Snell's law in anisotropic media: A practical approach

Cited by 2 publications

References 0 publications

Design of Tunable Broadband Graphene-Based Metasurface with Amplitude-Phase Modulation

Design of Tunable Broadband Graphene-Based Metasurface with Amplitude-Phase Modulation

Study of the influence of anisotropy parameters on reflection coefficients from a boundary between two azimuthally anisotropic media

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