Inverse design in nanophotonics

S Molesky, Z Lin, AY Piggott, W Jin, J Vucković… - Nature …, 2018 - nature.com
Recent advancements in computational inverse-design approaches—algorithmic
techniques for discovering optical structures based on desired functional characteristics …

Topology optimization approaches: A comparative review

O Sigmund, K Maute - Structural and multidisciplinary optimization, 2013 - Springer
Topology optimization has undergone a tremendous development since its introduction in
the seminal paper by Bendsøe and Kikuchi in 1988. By now, the concept is developing in …

A survey of structural and multidisciplinary continuum topology optimization: post 2000

JD Deaton, RV Grandhi - Structural and Multidisciplinary Optimization, 2014 - Springer
Topology optimization is the process of determining the optimal layout of material and
connectivity inside a design domain. This paper surveys topology optimization of continuum …

An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions

P Wei, Z Li, X Li, MY Wang - Structural and Multidisciplinary Optimization, 2018 - Springer
This paper presents a compact and efficient 88-line MATLAB code for the parameterized
level set method based topology optimization using radial basis functions (RBFs), which is …

Level-set methods for structural topology optimization: a review

NP Van Dijk, K Maute, M Langelaar… - Structural and …, 2013 - Springer
This review paper provides an overview of different level-set methods for structural topology
optimization. Level-set methods can be categorized with respect to the level-set-function …

Fabrication-constrained nanophotonic inverse design

AY Piggott, J Petykiewicz, L Su, J Vučković - Scientific reports, 2017 - nature.com
A major difficulty in applying computational design methods to nanophotonic devices is
ensuring that the resulting designs are fabricable. Here, we describe a general inverse …

[图书][B] Inverse problems for partial differential equations

V Isakov - 2006 - Springer
In this chapter, we are interested in finding coefficients of the second-order hyperbolic
operator:(8.0. 1) a0∂ 2 t u+ Au= f in Q= Ω×(0, T) given the initial data (8.0. 2) u= u0,∂ tu= u1 …

Newton-type methods for non-convex optimization under inexact Hessian information

P Xu, F Roosta, MW Mahoney - Mathematical Programming, 2020 - Springer
We consider variants of trust-region and adaptive cubic regularization methods for non-
convex optimization, in which the Hessian matrix is approximated. Under certain condition …

[图书][B] Iterative regularization methods for nonlinear ill-posed problems

B Kaltenbacher, A Neubauer, O Scherzer - 2008 - degruyter.com
Bibliography Page 1 Bibliography [1] V. Akcelik, G. Biros, A. Draganescu, J. Hill, O. Ghattas,
and B. Van Bloemen Waanders, Dynamic data-driven inversion for terascale simulations …

[图书][B] Variational methods in imaging

O Scherzer, M Grasmair, H Grossauer, M Haltmeier… - 2009 - Springer
Imaging is an interdisciplinary research area with profound applications in many areas of
science, engineering, technology, and medicine. The most primitive form of imaging is visual …