Our purpose is to develop a numerical tool for the study of photonic devices. The electrodynamic behavior of these systems can be efficiently characterized by their resonances but realistic materials have a strong time dispersive permittivity at optical frequencies and it therefore depends on the very frequency we are trying to compute via an ei...
Creator:
Nicolet, Andre (Aix-Marseille Université)
Created:
2016-12-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with Dionisios Margetis (University of Maryland) and Mitchell Luskin (University of Minnesota).The electric conductivity of atomically thick materials such as graphene and black phosphorous yields an effective complex permittivity with a negative real part in the infrared spectrum. This feature allows for the propagation of slowly dec...
Creator:
Maier, Matthias (University of Minnesota, Twin Cities)
Created:
2016-12-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a director field and its degree of orientation, where the pair minimizes a sum of Frank-like energies and a double well potential. In particular, the Euler-Lagrange equati...
Creator:
Nochetto, Ricardo (University of Maryland)
Created:
2018-03-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Functions whose values are unbounded linear operators describe a large number of processes in optics. The applications include photonic crystals with material properties of Drude-Lorentz type and computations of scattering resonances.In this talk we present new enclosures of the numerical range of an operator functions T. Contrary to the numeric...
Creator:
Engström, Christian (University of Umeà¥)
Created:
2016-12-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
