Journal ArticleDOI
Band Structure Optimization of Two-Dimensional Photonic Crystals in H-Polarization
Steven J. Cox,David C. Dobson +1 more
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TLDR
In this article, an optimization-based evolution algorithm was proposed to find a material distribution within the fundamental cell which produces a maximal band gap at a given point in the spectrum for H-polarization in two dimensions.About:
This article is published in Journal of Computational Physics.The article was published on 2000-03-01. It has received 130 citations till now. The article focuses on the topics: Band gap & Direct and indirect band gaps.read more
Citations
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Journal ArticleDOI
Inverse design in nanophotonics
Sean Molesky,Zin Lin,Alexander Y. Piggott,Weiliang Jin,Jelena Vuckovic,Alejandro W. Rodriguez +5 more
TL;DR: In this paper, the authors outline a cross-section of key developments in this emerging field of photonic optimization: moving from a recap of foundational results to motivation of applications in nonlinear, topological, near-field and on-chip optics.
Journal ArticleDOI
Systematic design of phononic band-gap materials and structures by topology optimization.
TL;DR: In this article, the authors show how topology optimization can be used to design and optimize periodic materials and structures exhibiting phononic band gaps, which can prevent elastic waves in certain frequency ranges from propagating.
Journal ArticleDOI
Topology optimization for nano‐photonics
TL;DR: The paper reviews the basic procedures behind topology optimization, a large number of applications ranging from photonic crystal design to surface plasmonic devices, and lists some of the future challenges in non-linear applications.
Journal ArticleDOI
Level set methods for optimization problems involving geometry and constraints I. Frequencies of a two-density inhomogeneous drum
Stanley Osher,Fadil Santosa +1 more
TL;DR: This paper uses the level set method, the variational level set calculus, and the projected gradient method to construct a simple numerical approach for problems of this type involving a vibrating system whose resonant frequency or whose spectral gap is to be optimized subject to constraints on geometry.
Journal ArticleDOI
Outlook for inverse design in nanophotonics
Sean Molesky,Zin Lin,Alexander Y. Piggott,Weiliang Jin,Jelena Vuckovic,Alejandro W. Rodriguez +5 more
TL;DR: A cross-section of key developments in this emerging field of photonic optimization is outlined: moving from a recap of foundational results to motivation of applications in nonlinear, topological, near-field and on-chip optics.
References
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Book
Optimization and nonsmooth analysis
TL;DR: The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.
Book
Photonic Crystals: Molding the Flow of Light
TL;DR: In this paper, the authors developed the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory, and investigated the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions.
Book
Analysis of Operators
Michael C. Reed,Barry Simon +1 more
TL;DR: This revision will make this book mroe attractive as a textbook in functional analysis and reinforce its well-established use as a course book in mathemtical physics.
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Systematic design of phononic band-gap materials and structures by topology optimization.
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