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<p>The equivalent circuit representation of metasurfaces (MTs) is a powerful approach for both designing and physically understanding these two-dimensional devices. This paper presents an equivalent circuit representation for anisotropic graphene patch (AGP) and anisotropic complementary graphene patch (ACGP) MTs. This representation allows us to readily extract the characteristics of surface plasmon polariton (SPP) wave propagation along these MTs. A key finding is that AGP MTs, unlike isotropic graphene patch (IGP) MTs, support the simultaneous propagation of both SPP transverse magnetic (TM) and SPP transverse electric (TE) mode waves, opening possibilities for designing diverse graphene-based devices. Using a transmission-line approach, we first examine the diagonal impedance matrix of anisotropic graphene (AG) MTs when the propagation direction aligns with a principal axis of MTs. Next, we derive the dispersion equation using the transverse resonance technique. Finally, we extend this model to calculate the full impedance matrix of AG MTs for arbitrary propagation directions. The equivalent circuit model and simulated results demonstrate good agreement and validate the proposed equivalent circuit.</p>

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Analysis and Equivalent Circuit of Anisotropic Graphene Metasurfaces

  • 期刊论文

  • 发表日期：

    2025年5月27日

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  • Hadi Soleimani,
  • Mohammad Reza Khorshidi

摘要

The equivalent circuit representation of metasurfaces (MTs) is a powerful approach for both designing and physically understanding these two-dimensional devices. This paper presents an equivalent circuit representation for anisotropic graphene patch (AGP) and anisotropic complementary graphene patch (ACGP) MTs. This representation allows us to readily extract the characteristics of surface plasmon polariton (SPP) wave propagation along these MTs. A key finding is that AGP MTs, unlike isotropic graphene patch (IGP) MTs, support the simultaneous propagation of both SPP transverse magnetic (TM) and SPP transverse electric (TE) mode waves, opening possibilities for designing diverse graphene-based devices. Using a transmission-line approach, we first examine the diagonal impedance matrix of anisotropic graphene (AG) MTs when the propagation direction aligns with a principal axis of MTs. Next, we derive the dispersion equation using the transverse resonance technique. Finally, we extend this model to calculate the full impedance matrix of AG MTs for arbitrary propagation directions. The equivalent circuit model and simulated results demonstrate good agreement and validate the proposed equivalent circuit.