Abstract
A parameterization of the dispersive conductivity of highly-doped graphene has been developed and is presented for use in finite-difference time-domain simulation of near infrared graphene-based photonic and plasmonic devices. The parameterization is based on fitting a Pade approximant to the conductivity arising from interband electronic transitions. The resulting parameterization provides an accurate spectral representation of the conductivity in the wavelength range 1.3 – 2.3μm which is important for near infrared graphene plasmonics. Finite-difference time-domain simulations of straight graphene plasmonic waveguides of infinite and finite width are presented.
Highlights
Graphene is an exciting new material that is receiving significant attention in the research community as a building block for both flexible and inherently novel devices
The physics of graphene is novel in that it represents one of the only examples of a truly two-dimensional solid that can be completely isolated from a substrate or supporting structure
finite difference time domain (FDTD) is an extremely powerful tool for nanophotonic modeling [25,26,27,28], and the results presented here will further enable discovery and design of photonic devices that exploit the exciting properties of graphene
Summary
Graphene is an exciting new material that is receiving significant attention in the research community as a building block for both flexible and inherently novel devices. FDTD is attractive due to its generality, ease of implementation, linear scaling in execution time with problem size, straight forward parallelizability, favorable speedup with parallelization and ability to handle dispersive and nonlinear materials. It is often the default method when modeling large three-dimensional irregular geometries. Because FDTD solves Maxwell’s equations in the time domain, incorporating dispersive materials requires special handling. FDTD is an extremely powerful tool for nanophotonic modeling [25,26,27,28], and the results presented here will further enable discovery and design of photonic devices that exploit the exciting properties of graphene
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