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Description:
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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 . |