▎ 摘　　要

We theoretically study the confined (guided) subbands (modes) in strongly coupled double waveguides based on graphene. We find the spectra of the two-dimensional (2D) Dirac-like Hamiltonian with a quasi-mass parameter beta, which is incorporated into the Hamiltonian in an ad hoc manner. Such a term can represent phenomenologically the spin-orbit interaction strength in the graphene sample. We found strongly coupled modes as the wavevector k(y) increased. We show that different choices for the parameter beta in both waveguides induce asymmetry effects on the guided modes, reflecting anomalous effects on their probability density functions. We also find the same spectra for a single waveguide of width 50 nm. We plot the guided modes up to the seventh order in the E-theta phase space. By showing them, we completely map out the values of the reflection angle theta for which the guidance takes place with the most probability. (C) 2010 Elsevier Ltd. All rights reserved.