The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwellas 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 Maxwellas 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.Below we construct the lowestorder divergence conforming triangular element. First let us consider a reference triangle OK, which is formed by vertices OAi;iD1; 2;3;where OA1 D .0;0/; OA2 D .1;0/; OA3 D .0;1/: The unit outward normal vectors anbsp;...
|Title||:||Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials|
|Author||:||Jichun Li, Yunqing Huang|
|Publisher||:||Springer Science & Business Media - 2012-12-15|