Optimal shape design for a layered periodic structure [electronic resource] /
A multi-layered periodic structure is investigated for optimal shape design in diffraction gratings. A periodic dielectric material is used as the scattering profile for a planar incident wave. Designing optimal profiles for scattering is a type of inverse problem. The ability to fabricate such materials on the order of the wavelength of the incoming light is key for design strategies. We compute a finite element approximation on a variational setup of the forward problem. On the inverse and optimal design problem, we discuss the stability of the designs and develop computational strategies based on a level-set evolutionary approach.
School:Texas A&M International University
School Location:USA - Texas
Source Type:Master's Thesis
Keywords:major photonics mathematics optics scientific computation optimal design inverse problems diffraction photonic crystals level set
Date of Publication: