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Author: Kenneth Diest
Publisher: Springer Science & Business Media
ISBN: 9400766645
Category : Science
Languages : en
Pages : 226
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Book Description
This book describes a relatively new approach for the design of electromagnetic metamaterials. Numerical optimization routines are combined with electromagnetic simulations to tailor the broadband optical properties of a metamaterial to have predetermined responses at predetermined wavelengths. After a review of both the major efforts within the field of metamaterials and the field of mathematical optimization, chapters covering both gradient-based and derivative-free design methods are considered. Selected topics including surrogate-base optimization, adaptive mesh search, and genetic algorithms are shown to be effective, gradient-free optimization strategies. Additionally, new techniques for representing dielectric distributions in two dimensions, including level sets, are demonstrated as effective methods for gradient-based optimization. Each chapter begins with a rigorous review of the optimization strategy used, and is followed by numerous examples that combine the strategy with either electromagnetic simulations or analytical solutions of the scattering problem. Throughout the text, we address the strengths and limitations of each method, as well as which numerical methods are best suited for different types of metamaterial designs. This book is intended to provide a detailed enough treatment of the mathematical methods used, along with sufficient examples and additional references, that senior level undergraduates or graduate students who are new to the fields of plasmonics, metamaterials, or optimization methods; have an understanding of which approaches are best-suited for their work and how to implement the methods themselves.
Author: Kenneth Diest
Publisher: Springer Science & Business Media
ISBN: 9400766645
Category : Science
Languages : en
Pages : 226
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Book Description
This book describes a relatively new approach for the design of electromagnetic metamaterials. Numerical optimization routines are combined with electromagnetic simulations to tailor the broadband optical properties of a metamaterial to have predetermined responses at predetermined wavelengths. After a review of both the major efforts within the field of metamaterials and the field of mathematical optimization, chapters covering both gradient-based and derivative-free design methods are considered. Selected topics including surrogate-base optimization, adaptive mesh search, and genetic algorithms are shown to be effective, gradient-free optimization strategies. Additionally, new techniques for representing dielectric distributions in two dimensions, including level sets, are demonstrated as effective methods for gradient-based optimization. Each chapter begins with a rigorous review of the optimization strategy used, and is followed by numerous examples that combine the strategy with either electromagnetic simulations or analytical solutions of the scattering problem. Throughout the text, we address the strengths and limitations of each method, as well as which numerical methods are best suited for different types of metamaterial designs. This book is intended to provide a detailed enough treatment of the mathematical methods used, along with sufficient examples and additional references, that senior level undergraduates or graduate students who are new to the fields of plasmonics, metamaterials, or optimization methods; have an understanding of which approaches are best-suited for their work and how to implement the methods themselves.
Author: Guy Bouchitt́e
Publisher:
ISBN: 9781523118182
Category : Materials
Languages : en
Pages : 354
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Book Description
"The domain of metamaterials now covers many area of physics: electromagnetics, acoustics, mechanics, thermics, or even seismology. Huge literature is now available on the subject but the results are scattered. Although many ideas and possible applications have been proposed, which of these will emerge as a viable technology will only unfold with time. This book covers the fundamental science behind metamaterials, from the physical, mathematical, and numerical points of view, focusing mainly on methods. It concentrates on electromagnetic waves, but would also be useful in studying other types of metamaterials. It presents the structure of Maxwell equations, discusses the homogenization theory in detail, and includes important problems on resonance. It has an entire section devoted to numerical methods (finite elements, Fourier modal methods, scattering theory), which aims to motivate a reader to implement them. The book is not written as a collection of independent chapters but as a textbook with a strong pedagogical flavor."--Provided by publisher.
Author: Jichun Li
Publisher: Springer Science & Business Media
ISBN: 3642337899
Category : Computers
Languages : en
Pages : 309
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Book Description
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.
Author: Didier Felbacq
Publisher: CRC Press
ISBN: 1315341077
Category : Science
Languages : en
Pages : 346
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Book Description
The domain of metamaterials now covers many area of physics: electromagnetics, acoustics, mechanics, thermics, or even seismology. Huge literature is now available on the subject but the results are scattered. Although many ideas and possible applications have been proposed, which of these will emerge as a viable technology will only unfold with time. This book covers the fundamental science behind metamaterials, from the physical, mathematical, and numerical points of view, focusing mainly on methods. It concentrates on electromagnetic waves, but would also be useful in studying other types of metamaterials. It presents the structure of Maxwell equations, discusses the homogenization theory in detail, and includes important problems on resonance. It has an entire section devoted to numerical methods (finite elements, Fourier modal methods, scattering theory), which aims to motivate a reader to implement them. The book is not written as a collection of independent chapters but as a textbook with a strong pedagogical flavor.
Author: Habib Ammari
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110785137
Category : Mathematics
Languages : en
Pages : 179
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Book Description
Metamaterials are advanced composite materials which have exotic and powerful properties. Their complicated microstructures make metamaterials challenging to model, requiring the use of sophisticated mathematical techniques. This book uses a from-first-principles approach (based on boundary integral methods and asymptotic analysis) to study a class of high-contrast metamaterials. These mathematical techniques are applied to the problem of designing graded metamaterials that replicate the function of the cochlea.
Author: Bo Song
Publisher: Elsevier
ISBN: 0443189013
Category : Technology & Engineering
Languages : en
Pages : 344
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Book Description
Metamaterial Design and Additive Manufacturing covers optimization design, manufacturing, microstructure, mechanical properties, acoustic properties, mass-transport properties and application examples of PMs fabricated by selective laser melting additive manufacturing technology. The book introduces the definition and concept of pentamode metamaterials and then describes their characterization, including manufacturing fidelity, mechanical response, acoustic properties and so on. Final sections analyze research situations, problems and applications of additive manufacturing pentamode metamaterials. Covers design and optimization methods of pentamode metamaterials Describes manufacturing fidelity, microstructure and physical properties of pentamode metamaterials fabricated by AM Includes recent applications for pentamode metamaterials, along with research situations and potential problems
Author: Erick I. Saavedra Flores
Publisher: Springer Nature
ISBN: 3031533755
Category :
Languages : en
Pages : 406
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Book Description
Author: Yang Hao
Publisher: Artech House
ISBN: 1596931604
Category : Technology & Engineering
Languages : en
Pages : 395
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Book Description
Master powerful new modeling tools that let you quantify and represent metamaterial properties with never-before accuracy. This first-of-its-kind book brings you up to speed on breakthrough finite-difference time-domain techniques for modeling metamaterial characteristics and behaviors in electromagnetic systems. This practical resource comes complete with sample FDTD scripts to help you pave the way to new metamaterial applications and advances in antenna, microwave, and optics engineering. You get in-depth coverage of state-of-the-art FDTD modeling techniques and applications for electromagnetic bandgap (EBG) structures, left-handed metamaterials (LHMs), wire medium, metamaterials for optics, and other practical metamaterials. You find steps for computing dispersion diagrams, dealing with material dispersion properties, and verifying the left-handedness. Moreover, this comprehensive volume offers guidance for handling the unique properties possessed by metamaterials, including how to define material parameters, characterize the interface of metamaterial slabs, and quantify their spatial as well as frequency dispersion characteristics. The book also presents conformal and dispersive FDTD modeling of electromagnetic cloaks, perfect lens, and plasmonic waveguides, as well as other novel antenna, microwave, and optical applications. Over 190 illustrations support key topics throughout the book.
Author: Tie Jun Cui
Publisher: Springer Science & Business Media
ISBN: 1441905731
Category : Technology & Engineering
Languages : en
Pages : 376
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Book Description
Metamaterials:Theory, Design, and Applications goes beyond left-handed materials (LHM) or negative index materials (NIM) and focuses on recent research activity. Included here is an introduction to optical transformation theory, revealing invisible cloaks, EM concentrators, beam splitters, and new-type antennas, a presentation of general theory on artificial metamaterials composed of periodic structures, coverage of a new rapid design method for inhomogeneous metamaterials, which makes it easier to design a cloak, and new developments including but not limited to experimental verification of invisible cloaks, FDTD simulations of invisible cloaks, the microwave and RF applications of metamaterials, sub-wavelength imaging using anisotropic metamaterials, dynamical metamaterial systems, photonic metamaterials, and magnetic plasmon effects of metamaterials.
Author: Teik-Cheng Lim
Publisher: Springer Nature
ISBN: 9811564469
Category : Technology & Engineering
Languages : en
Pages : 702
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Book Description
This book discusses bulk solids that derive their mechanical properties not from those of their base materials, but from their designed microstructures. Focusing on the negative mechanical properties, it addresses topics that reveal the counter-intuitive nature of solids, specifically the negativity of properties that are commonly positive, such as negative bulk modulus, negative compressibility, negative hygroexpansion, negative thermal expansion, negative stiffness phase, and negative Poisson’s ratio. These topics are significant not only due to the curiosity they have sparked, but also because of the possibility of designing materials and structures that can behave in ways that are not normally expected in conventional solids, and as such, of materials that can outperform solids and structures made from conventional materials. The book includes illustrations to facilitate learning, and, where appropriate, reference tables. The presentation is didactic, starting with simple cases, followed by increasingly complex ones. It provides a solid foundation for graduate students, and a valuable resource for practicing materials engineers seeking to develop novel materials through the judicious design of microstructures and their corresponding mechanisms.
