Springer Series in Computational Mathematics

Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials

Authors: Li, Jichun, Huang, Yunqing

  • First book on mathematical modeling and numerical analysis of  Maxwell's equations involving metamaterials
  • Complete MATLAB source code on edge elements developed for solving Maxwell's equations
  • Introduce the-state-of-the-art of computational methods for wave propagation in metamaterials ​
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Hardcover $149.00
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  • ISBN 978-3-642-43524-9
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About this book

The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell’s equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterials present great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue and is the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwell’s equations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials.

Reviews

From the reviews:

“The book is rigorous, clearly presented, and written for researchers as well as graduate students in the fields of mathematics, computing, physics, engineering, material sciences, and optics. It helps the reader to get deeper insight and better understanding of actual mathematical and computational problems in the field of metamaterial simulations.” (Gunther Schmidt, zbMATH, Vol. 1304, 2015)

“The book is devoted to simulations of electromagnetic phenomena in metamaterials by using the finite element method (FEM). … The book is rigorous, clearly presented, and written for research mathematicians as well as graduate students in the fields of mathematics, physics, engineering, material sciences, and optics. Its pedagogical style allows the reader to get a better understanding of the mathematical analysis and metamaterial simulations.” (Barbara Zubik-Kowal, Mathematical Reviews, October, 2013)

Table of contents (9 chapters)

  • Introduction to Metamaterials

    Li, Jichun (et al.)

    Pages 1-18

  • Introduction to Finite Element Methods

    Li, Jichun (et al.)

    Pages 19-51

  • Time-Domain Finite Element Methods for Metamaterials

    Li, Jichun (et al.)

    Pages 53-125

  • Discontinuous Galerkin Methods for Metamaterials

    Li, Jichun (et al.)

    Pages 127-150

  • Superconvergence Analysis for Metamaterials

    Li, Jichun (et al.)

    Pages 151-171

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-33789-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-642-33788-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-642-43524-9
  • 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
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
43
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-33789-5
DOI
10.1007/978-3-642-33789-5
Hardcover ISBN
978-3-642-33788-8
Softcover ISBN
978-3-642-43524-9
Series ISSN
0179-3632
Edition Number
1
Number of Pages
XII, 304
Topics