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Center for Nonlinear Studies |
This talk is concerned with shape optimization of periodic nanoscale inclusions in a type of optical metamaterial called “graphene plasmons”. More precisely, I am interested in altering the shape of the nanosheet inclusions in order to achieve target material parameters such as a target electric permittivity. These nanoscale inclusions are composed of dielectric low-dimensional material that are suspended periodically in a non-magnetic bulk dielectric. Such plasmonic metamaterials have a wide range of applications, from biomedical devices to photovoltaic batteries, and they exhibit a variety of striking optical phenomena that are unlike the classical behaviour of electromagnetic waves. I will first summarise the underlying microscale model, the corresponding homogenization theory, and the eigenvalue representation, that will serve as a basis for the shape optimization problem. I will then introduce a deformation field on the cell problem and the eigenvalue problem. Finally, I will formulate and solve the shape optimization problems using an adjoint approach.
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Host: Svetlana Tokareva (T-5)