2021 Volume 25 Issue 2 Pages 87-92
Quantum mechanical wave phenomena in semiconductor multilayer structures are described by the effective-mass Schrödinger equation. To date, we have focused on the similarity between the effective-mass Schrödinger equation and Maxwell's equations, and we have effectively utilized transmission-line theory as a means of the analysis and design of quantum mechanical wave phenomena. On the other hand, wave phenomena in graphene are described by the massless Dirac equation; accordingly, treating it with circuit theory necessitates using a generalized transmission line theory. In this paper, it is shown that the generalized transmission line theory can be effectively used to treat quantum mechanical wave phenomena in graphene multilayer structures. Our results show that the wave phenomena in graphene can be treated with an equivalent transmission line having a characteristic impedance that differs in accordance with the propagation direction. Using the proposed method, we have performed numerical simulations of wave propagation in graphene multilayered structures. The characteristics of the three-layer structure are clarified, and the frequency characteristics realized by combining these structures are discussed. The results obtained in this study will be useful for the realization of graphene-based multilayer electron wave filters.
