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

  • Jichun Li
  • Yunqing Huang

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Jichun Li, Yunqing Huang
    Pages 1-18
  3. Jichun Li, Yunqing Huang
    Pages 19-51
  4. Jichun Li, Yunqing Huang
    Pages 53-125
  5. Jichun Li, Yunqing Huang
    Pages 127-150
  6. Jichun Li, Yunqing Huang
    Pages 151-171
  7. Jichun Li, Yunqing Huang
    Pages 173-193
  8. Jichun Li, Yunqing Huang
    Pages 195-214
  9. Jichun Li, Yunqing Huang
    Pages 215-240
  10. Jichun Li, Yunqing Huang
    Pages 241-283
  11. Back Matter
    Pages 285-302

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.


Maxwell' s equations electromagnetic wave propagation finite element method metamaterial numerical analysis

Authors and affiliations

  • Jichun Li
    • 1
  • Yunqing Huang
    • 2
  1. 1., Mathematical SciencesUniversity of Nevada Las VegasLas VegasUSA
  2. 2.Xiangtan UniversityXiangtanChina, People's Republic

Bibliographic information