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Optimal shape design for a layered periodic structure [electronic resource] /

by Flanagan, Michael Brady.

Abstract (Summary)
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.
Bibliographical Information:

Advisor:

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

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