@Article{CiCP-34-1,
author = {François, Fillion-Gourdeau and Lorin, Emmanuel and Steve, Maclean},
title = {Inverse Design of Strained Graphene Surfaces for Electron Control},
journal = {Communications in Computational Physics},
year = {2023},
volume = {34},
number = {1},
pages = {235--260},
abstract = {<p style="text-align: justify;">This paper is devoted to the inverse design of strained graphene surfaces for
the control of electrons in the semi-classical optical-like regime. Assuming that charge
carriers are described by the Dirac equation in curved-space and exploiting the fact
that wave propagation can be described by ray-optics in this regime, a general computational strategy is proposed in order to find strain fields associated with a desired
effective refractive index profile. The latter is first determined by solving semi-classical
trajectories and by optimizing a chosen objective functional using a genetic algorithm.
Then, the graded refractive index corresponding to the strain field is obtained by using
its connection to the metric component in isothermal coordinates. These coordinates
are evaluated via numerical quasiconformal transformations by solving the Beltrami
equation with a finite volume method. The graphene surface deformation is finally
optimized, also using a genetic algorithm, to reproduce the desired index of refraction. Some analytical results and numerical experiments are performed to illustrate
the methodology.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2022-0011},
url = {https://global-sci.com/article/79366/inverse-design-of-strained-graphene-surfaces-for-electron-control}
}