Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Topics in Applied Physics (TAP, volume 127)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
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.Â
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.
Editors and Affiliations
About the editor
Bibliographic Information
Book Title: Numerical Methods for Metamaterial Design
Editors: Kenneth Diest
Series Title: Topics in Applied Physics
DOI: https://doi.org/10.1007/978-94-007-6664-8
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2013
Hardcover ISBN: 978-94-007-6663-1Published: 19 August 2013
Softcover ISBN: 978-94-007-9922-6Published: 26 August 2015
eBook ISBN: 978-94-007-6664-8Published: 13 August 2013
Series ISSN: 0303-4216
Series E-ISSN: 1437-0859
Edition Number: 1
Number of Pages: XVI, 213
Topics: Optics, Lasers, Photonics, Optical Devices, Optical and Electronic Materials, Microwaves, RF and Optical Engineering, Numerical and Computational Physics, Simulation, Computer-Aided Engineering (CAD, CAE) and Design