In this paper, for the first time, we derive the appropriate form of Maxwell-Dirac equations for simulation of
the coupling transport of electromagnetic fields and carriers in graphene nanostructures, and propose a time
splitting spectral method for the numerical solution of this multiphysics problem.In this time splitting spectral
method, we split each time step into three substeps. In each substep, we split the linear and nonlinear parts of
the complicated nonlinear coupling Maxwell-Dirac system, then iteratively solving each simple part by linearizing
the nonlinear part. The time derivatives are discretized by finite difference method with second order accuracy
schemes. The spatial differential operators are approximated by spectral differentiation matrices. The proposed
numerical method is validated by numerical examples that simulate the propagation of electromagnetic wave in
graphene nanowaveguides.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.