Abstract
The reflectivity properties of graphene and graphene-coated substrates, as prospective materials for nanocommunications, are calculated using the formalism of the polarization tensor. Simple analytic expressions for the transverse magnetic and transverse electric reflection coefficients are obtained at zero temperature and for sufficiently high frequencies at any temperature. The previously known results for the transverse magnetic case are reproduced. The transverse electric coefficients of graphene and graphene-coated plates are shown to depend on the angle of incidence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dresselhaus, M.S.: On the past and Present of Carbon Nanostructures. Phys. Status Solidi B 248, 1566–1574 (2011)
Rutherglen, C., Burke, P.: Carbon Nanotube Radio. Nano Lett. 7, 3296–3299 (2007)
Jensen, K., Weldon, J., Garcia, H., Zettl, A.: Nanotube Radio. Nano Lett. 7, 3508–3511 (2007)
Castro Neto, A.H., Guinea, F., Peres, N.M.R., Novoselov, K.S., Geim, A.K.: The Electronic Properties of Graphene. Rev. Mod. Phys. 81, 109–162 (2009)
Katsnelson, M.I.: Graphene: Carbon in Two Dimensions. Cambridge University Press, Cambridge (2012)
Falkovsky, L.A., Pershoguba, S.S.: Optical Far-Infrared Properties of a Graphene Monolayer and Multylayer. Phys. Rev. B 76, 153410-1–4 (2007)
Stauber, T., Peres, N.M.R., Geim, A.K.: Optical Conductivity of Graphene in the Visible Region of the Spectrum. Phys. Rev. B 78, 085432-1–8 (2008)
Sernelius, B.E.: Retarded Interactions in Graphene Systems. Phys. Rev. B 85, 195427-1–10 (2012)
Klimchitskaya, G.L., Mostepanenko, V.M., Sernelius, B.E.: Two Approaches for Describing the Casimir Interaction in Graphene: Density-Density Correlation Function Versus Polarization Tensor. Phys. Rev. B 89, 125407-1–9 (2014)
Bordag, M., Fialkovsky, I.V., Gitman, D.M., Vassilevich, D.V.: Casimir Interaction Between a Perfect Conductor and Graphene Described by the Dirac Model. Phys. Rev. B 80, 245406-1–5 (2009)
Fialkovsky, I.V., Marachevsky, V.N., Vassilevich, D.V.: Finite-Temperature Casimir Effect for Graphene. Phys. Rev. B 84, 035446-1–10 (2011)
Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M.: Theory of Casimir Interaction from Graphene-Coated Substrates Using the Polarization Tensor and Comparison with Experiment. Phys. Rev. B 89, 115419-1–8 (2014)
Bordag, M., Klimchitskaya, G.L., Mohideen, U., Mostepanenko, V.M.: Advances in the Casimir Effect. Oxford University Press, Oxford (2009)
Banishev, A.A., Wen, H., Xu, J., Kawakami, R.K., Klimchitskaya, G.L., Mostepanenko, V.M., Mohideen, U.: Measuring the Casimir Force Gradient from Graphene on a SiO2 Substrate. Phys. Rev. B 87, 205433-1–5 (2013)
Klimchitskaya, G.L., Mostepanenko, V.M.: Observability of Thermal Effects in the Casimir Interaction from Graphene-Coated Substrates. Phys. Rev. A 89, 052512-1–7 (2014)
Chaichian, M., Klimchitskaya, G.L., Mostepanenko, V.M., Tureany, A.: Thermal Casimir-Polder Interaction of Different Atoms with Graphene. Phys. Rev. A 86, 012515-1–9 (2012)
Wunsch, B., Stauber, T., Sols, F., Guinea, F.: Dynamical Polarization of Graphene at Finite Doping. New J. Phys. 8, 318-1–16 (2006)
Peres, N.M.R., Guinea, F., Castro Neto, A.H.: Electronic Properties of Disordered Two-Dimensional Carbon. Phys. Rev. B 73, 125411-1–23 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Klimchitskaya, G.L., Mostepanenko, V.M., Petrov, V.M. (2014). Reflectivity Properties of Graphene and Graphene-Coated Substrates. In: Balandin, S., Andreev, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN 2014. Lecture Notes in Computer Science, vol 8638. Springer, Cham. https://doi.org/10.1007/978-3-319-10353-2_40
Download citation
DOI: https://doi.org/10.1007/978-3-319-10353-2_40
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10352-5
Online ISBN: 978-3-319-10353-2
eBook Packages: Computer ScienceComputer Science (R0)