Topics in Applied Physics

Numerical Methods for Metamaterial Design

Editors: Diest, Kenneth (Ed.)

  • A thorough treatment of the underlying mathematics of each optimization method, as well as detailed references that further expand on each method
  • Numerous examples that describe how each method is implemented and used to optimize specific design problems
  • Links to implementations of the optimization routines discussed throughout the book that are available online
  • An appendix that lists step-by-step instructions on how to integrate optimization routines with current electromagnetic simulation software
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About this book

This book describes a relatively new approach for the design of electromagnetic metamaterials.  Numerical optimization routines are combined with electromagnetic simulations to tailor the broadband optical properties of a metamaterial to have predetermined responses at predetermined wavelengths.

After a review of both the major efforts within the field of metamaterials and the field of mathematical optimization, chapters covering both gradient-based and derivative-free design methods are considered.  Selected topics including surrogate-base optimization, adaptive mesh search, and genetic algorithms are shown to be effective, gradient-free optimization strategies.  Additionally, new techniques for representing dielectric distributions in two dimensions, including level sets, are demonstrated as effective methods for gradient-based optimization. 

Each chapter begins with a rigorous review of the optimization strategy used, and is followed by numerous examples that combine the strategy with either electromagnetic simulations or analytical solutions of the scattering problem.  Throughout the text, we address the strengths and limitations of each method, as well as which numerical methods are best suited for different types of metamaterial designs.  This book is intended to provide a detailed enough treatment of the mathematical methods used, along with sufficient examples and additional references, that senior level undergraduates or graduate students who are new to the fields of plasmonics, metamaterials, or optimization methods; have an understanding of which approaches are best-suited for their work and how to implement the methods themselves.

About the authors

Kenneth Diest is currently a Member of Technical Staff at the Massachusetts Institute of Technology Lincoln Laboratory, where he works on the simulation, design, and fabrication of passive and active nanophotonic devices.  Prior to this, he was a research scientist with the Aerospace Research Laboratories at Northrop Grumman and a visiting scientist at the California Institute of Technology.  He holds both a M.S. and Ph.D. in Materials Science from the California Institute of Technology, and received a B.S. in Materials Engineering from Cornell University in 2002.

Table of contents (7 chapters)

  • Introduction

    Diest, Kenneth

    Pages 1-29

  • An Overview of Mathematical Methods for Numerical Optimization

    Marthaler, Daniel E.

    Pages 31-53

  • Optimization with Surrogate Models

    Schaul, Tom

    Pages 55-70

  • Metamaterial Design by Mesh Adaptive Direct Search

    Audet, Charles (et al.)

    Pages 71-96

  • Nature Inspired Optimization Techniques for Metamaterial Design

    Werner, Douglas H. (et al.)

    Pages 97-146

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-94-007-6664-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-94-007-6663-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Metamaterial Design
Editors
  • Kenneth Diest
Series Title
Topics in Applied Physics
Series Volume
127
Copyright
2013
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-6664-8
DOI
10.1007/978-94-007-6664-8
Hardcover ISBN
978-94-007-6663-1
Series ISSN
0303-4216
Edition Number
1
Number of Pages
XVI, 213
Topics