The performance of a multi-layered parallel plate waveguide, supported by graphene plates, is evaluated here. The graphene layers were biased with both magnetic and electric fields. The graphene plates weremodelled as an anisotropic surface derived from the Kubo formula. Maxwell's equations were solved for these waveguides; and it is shown when both magnetic and electric biases were applied to the graphene, hybrid modes propagated inside the waveguides. The intensity of each TM and TE mode could be adjusted with an applied external field bias. This study of wave confinement has shown that, by varying the bias, full control can be exerted over the wave's propagation within a waveguide; whereby, increasing the bias causes added phase changes over the propagation length, while increasing the waveguide's attenuation. It must be emphasized that the presented procedure is also applicable to other guiding structures that have boundary with isotropic or anisotropic conductivities.

这里评估了由石墨烯板支撑的多层平行板波导的性能。石墨烯层被磁场和电场偏置。石墨烯板被建模为源自 Kubo 公式的各向异性表面。对这些波导求解了麦克斯韦方程；当磁偏压和电偏压同时施加到石墨烯上时，混合模式在波导内传播。每个 TM 和 TE 模式的强度可以通过施加的外场偏置进行调整。这项关于波限制的研究表明，通过改变偏置，可以完全控制波在波导内的传播；因此，增加偏置会导致在传播长度上增加相位变化，同时增加波导的衰减。