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20182022
most citedAccelerating Adjoint Variable Method Based Photonic Optimization with Schur Complement Domain Decomposition

16 citations · 19 across the 5 of their papers we have counts for

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5 papers

math.NA2022★ 2 cited

Effect of Choices of Boundary Conditions on the Numerical Efficiency of Direct Solutions of Finite Difference frequency Domain Systems with Perfectly Matched Layers

Nathan Zhao, Shanhui Fan

Direct solvers are a common method for solving finite difference frequency domain (FDFD) systems that arise in numerical solutions of Maxwell's equations. In a direct solver, one f…

physics.comp-ph2021★ 1 cited

Efficient method for accelerating line searches using a combined Schur complement domain decomposition and Born series expansions in photonic-based adjoint optimization

Nathan Zhao, Salim Boutami, Shanhui Fan

A line search in gradient-based optimization algorithm solves the problem of determining the optimal learning rate for a given gradient or search direction in a single iteration. F…

physics.comp-ph2019★ 16 cited

Accelerating Adjoint Variable Method Based Photonic Optimization with Schur Complement Domain Decomposition

Nathan Zhao, Salim Boutami, Shanhui Fan

Adjoint variable method in combination with gradient descent optimization has been widely used for the inverse design of nanophotonic devices. In many of such optimizations, the de…

physics.optics2019

Penetration depth reduction with plasmonic metafilms

Nathan Z. Zhao, Ian A. D. Williamson, Zhexin Zhao +2

In many optical systems, including metal films, dielectric reflectors, and photonic crystals, electromagnetic waves can experience evanescent decay. The spatial length scale of suc…

physics.optics2018

High reflection from a one-dimensional array of graphene nanoribbons

Nathan Zhao, Zhexin Zhao, Ian Williamson +3

We show that up to 90% reflectivity can be achieved by using guided plasmonic resonances in a one-dimensional periodic array of plasmonic nanoribbon. In general, to achieve strong…