Energy Stored in a Slab Covered by Graphene Sheets

Sarısaman M.

in: Carbon Related Materials, Satoru Kaneko,et al., Editor, Springer Nature Singapore Pte Ltd., Singapore, pp.71-89, 2020

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2020
  • Publisher: Springer Nature Singapore Pte Ltd.
  • City: Singapore
  • Page Numbers: pp.71-89
  • Editors: Satoru Kaneko,et al., Editor
  • Istanbul University Affiliated: Yes


This chapter discusses the emergence conditions of energy states arisen from the interaction of electromagnetic waves with an optically active planar slab covered by graphene sheets. All energy configurations inside and outside the graphene layers are explicitly revealed. In particular, we specialize to some certain cases of maximal energy storage by imposing the spectral singularity condition and show that energy density stored within graphene layers can be increased tremendously because of the presence of graphene layers surrounding the complex potential slab. Method presented here relies on the most fundamental principles embracing its power from Maxwell’s equations and employing the whole control of transfer matrix formalism of scattering theory. In this respect, various situations are discussed to see how graphene sheets can be handled in order to increase the energy storage within a slab. It is attained that both graphene layers are required and there must be currents flowing in the same direction in order to preserve the parity invariance. If the parity invariance is broken, energy stored inside the slab slumps to much lower values. Besides, it is illustrated that graphene features can be effectively used in order to enhance energy storage efficiently. Predictions proposed in this work are perceptibly supported by the corresponding graphical demonstrations. The suggested method is quite illustrative and instructive and gives rise to extend all other cases by following similar steps. These observations and predictions suggest a concrete and sound way of forming graphene-related energy storage devices.