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Optimal shape design for a layered periodic structure

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: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

ISBN:

Date of Publication:12/01/2002

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