Optimal shape design for a layered periodic structure
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.
Advisor:Dobson, David; Pasciak, Joe; Sarin, Vivek; Zhou, Jianxin
School:Texas A&M University
School Location:USA - Texas
Source Type:Master's Thesis
Keywords:diffraction inverse problems optimal design scientific computation optics mathematics photonics photonic crystals level set
Date of Publication:12/01/2002