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Efficient Numerical Algorithms for Virtual Design in Nanoplasmonic

Posted on:2018-07-22Degree:Ph.DType:Dissertation
University:University of MinnesotaCandidate:Ortan, AlexandraFull Text:PDF
GTID:1442390002498577Subject:Mathematics
Abstract/Summary:
Nanomaterials have given rise to many devices, from high-density data storage to optical bio-sensors capable of detecting specific biochemicals. The design of new nanodevices relies increasingly on numerical simulations, driving a need for efficient numerical methods. In this work, integral equations are used to efficiently solve the electromagnetic transmission problem at the interface of a dielectric and a periodic metal nanostructure. Derivative-free trust-region methods are then used to optimize the geometry of the nanostructure.
Keywords/Search Tags:Numerical
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