Optimal shape design for a layered periodic structure
Abstract
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.
Subject
diffractioninverse problems
optimal design
scientific computation
optics
mathematics
photonics
photonic crystals
level set
Citation
Flanagan, Michael Brady (2002). Optimal shape design for a layered periodic structure. Doctoral dissertation, Texas
A&M University. Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /382.