Skip to main content
SpringerLink
Log in

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

  • Book
  • © 2013

Overview

Authors:
  1. Jichun Li

    1. , Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Yunqing Huang

    1. Xiangtan University, Xiangtan, China, People's Republic

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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 ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Computational Mathematics (SSCM, volume 43)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction to Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 1-18

  3. Introduction to Finite Element Methods

    • Jichun Li, Yunqing Huang
    Pages 19-51

  4. Time-Domain Finite Element Methods for Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 53-125

  5. Discontinuous Galerkin Methods for Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 127-150

  6. Superconvergence Analysis for Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 151-171

  7. A Posteriori Error Estimation

    • Jichun Li, Yunqing Huang
    Pages 173-193

  8. A Matlab Edge Element Code for Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 195-214

  9. Perfectly Matched Layers

    • Jichun Li, Yunqing Huang
    Pages 215-240

  10. Simulations of Wave Propagation in Metamaterials

    • Jichun Li, Yunqing Huang
    Pages 241-283

  11. Back Matter

    Pages 285-302
    Download chapter PDF
Back to top

Keywords

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)

Authors and Affiliations

  • , Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, USA

    Jichun Li

  • Xiangtan University, Xiangtan, China, People's Republic

    Yunqing Huang

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation