Efficient numerical algorithms for virtual design in nanoplasmonics

Abstract

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.