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

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.

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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.

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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.


Content:
Front Matter....Pages i-xii
Introduction to Metamaterials....Pages 1-18
Introduction to Finite Element Methods....Pages 19-51
Time-Domain Finite Element Methods for Metamaterials....Pages 53-125
Discontinuous Galerkin Methods for Metamaterials....Pages 127-150
Superconvergence Analysis for Metamaterials....Pages 151-171
A Posteriori Error Estimation....Pages 173-193
A Matlab Edge Element Code for Metamaterials....Pages 195-214
Perfectly Matched Layers....Pages 215-240
Simulations of Wave Propagation in Metamaterials....Pages 241-283
Back Matter....Pages 285-302

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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.


Content:
Front Matter....Pages i-xii
Introduction to Metamaterials....Pages 1-18
Introduction to Finite Element Methods....Pages 19-51
Time-Domain Finite Element Methods for Metamaterials....Pages 53-125
Discontinuous Galerkin Methods for Metamaterials....Pages 127-150
Superconvergence Analysis for Metamaterials....Pages 151-171
A Posteriori Error Estimation....Pages 173-193
A Matlab Edge Element Code for Metamaterials....Pages 195-214
Perfectly Matched Layers....Pages 215-240
Simulations of Wave Propagation in Metamaterials....Pages 241-283
Back Matter....Pages 285-302
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