Optimal shape design for a layered periodic structure
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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.
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