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Effective Medium Theory

Author: Tuck C. Choy

Publisher: Oxford University Press

Published: 2016

Total Pages: 257

ISBN-13: 0198705093

Effective medium theory dates back to the early days of the theory of electricity. Faraday 1837 proposed one of the earliest models for a composite metal-insulator dielectric, and around 1870 Maxwell and later Garnett (1904) developed models to describe a composite or mixed material medium. The subject has been developed considerably since and while the results are useful for predicting materials performance, the theory can also be used in a wide range of problems in physics and materials engineering. This book develops the topic of effective medium theory by bringing together the essentials of both the static and the dynamical theory. Electromagnetic systems are thoroughly dealt with, as well as related areas such as the CPA theory of alloys, liquids, the density functional theory etc, with applications to ultrasonics, hydrodynamics, superconductors, porous media and others, where the unifying aspects of the effective medium concept are emphasized. In this new second edition two further chapters have been added to deal with the theory of electrolytes and the exciting frontiers in electromagnetic and related areas of cloaking research all from the perspective of effective medium theory. In addition, a new appendix with notes on the example problems makes this an ideal graduate level text book and research reference source.

Effective Medium Theory of Metamaterials and Metasurfaces

Author: Wei Xiang Jiang

Publisher: Cambridge University Press

Published: 2022-02-03

Total Pages: 86

ISBN-13: 1108872050

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Metamaterials, including their two-dimensional counterparts, are composed of subwavelength-scale artificial particles. These materials have novel electromagnetic properties, and can be artificially tailored for various applications. Based on metamaterials and metasurfaces, many abnormal physical phenomena have been realized, such as negative refraction, invisible cloaking, abnormal reflection and focusing, and many new functions and devices have been developed. The effective medium theory lays the foundation for design and application of metamaterials and metasurfaces, connecting metamaterials with real world applications. In this Element, the authors combine these essential ingredients, and aim to make this Element an access point to this field. To this end, they review classical theories for dielectric functions, effective medium theory, and effective parameter extraction of metamaterials, also introducing front edge technologies like metasurfaces with theories, methods, and potential applications. Energy densities are also included.

Polarization and Moment Tensors

Author: Habib Ammari

Publisher: Springer Science & Business Media

Published: 2007-06-16

Total Pages: 320

ISBN-13: 0387715665

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This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

Theoretical Thermotics

Author: Ji-Ping Huang

Publisher: Springer Nature

Published: 2019-12-31

Total Pages: 260

ISBN-13: 9811523010

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This book focuses on theoretical thermotics, the theory of transformation thermotics and its extended theories for the active control of macroscopic thermal phenomena of artificial systems, which is in sharp contrast to classical thermodynamics comprising the four thermodynamic laws for the passive description of macroscopic thermal phenomena of natural systems. The book covers the basic concepts and mathematical methods, which are necessary to understand thermal problems extensively investigated in physics, but also in other disciplines of engineering and materials. The analyses rely on models solved by analytical techniques accompanied with computer simulations and laboratory experiments. This book serves both as a reference work for senior researchers and a study text for zero beginners.

Memory Functions, Projection Operators, and the Defect Technique

Author: V. M. (Nitant) Kenkre

Publisher: Springer Nature

Published: 2021-04-13

Total Pages: 374

ISBN-13: 3030686671

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This book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique. Memory functions appear in the formalism of the generalized master equations that express the time evolution of probabilities via equations non-local in time, projection operators allow the extraction of parts of quantities, such as the diagonal parts of density matrices in statistical mechanics, and the defect technique allows solution of transport equations in which the translational invariance is broken in small regions, such as when crystals are doped with impurities. These three methods combined form an immensely useful toolkit for investigations in such disparate areas of physics as excitation in molecular crystals, sensitized luminescence, charge transport, non-equilibrium statistical physics, vibrational relaxation, granular materials, NMR, and even theoretical ecology. This book explains the three techniques and their interrelated nature, along with plenty of illustrative examples. Graduate students beginning to embark on a research project in condensed matter physics will find this book to be a most fruitful source of theoretical training.

The Theory of Composites

Author: Graeme W. Milton

Publisher: SIAM

Published: 2022-12-07

Total Pages: 761

ISBN-13: 1611977487

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Composites have been studied for more than 150 years, and interest in their properties has been growing. This classic volume provides the foundations for understanding a broad range of composite properties, including electrical, magnetic, electromagnetic, elastic and viscoelastic, piezoelectric, thermal, fluid flow through porous materials, thermoelectric, pyroelectric, magnetoelectric, and conduction in the presence of a magnetic field (Hall effect). Exact solutions of the PDEs in model geometries provide one avenue of understanding composites; other avenues include microstructure-independent exact relations satisfied by effective moduli, for which the general theory is reviewed; approximation formulae for effective moduli; and series expansions for the fields and effective moduli that are the basis of numerical methods for computing these fields and moduli. The range of properties that composites can exhibit can be explored either through the model geometries or through microstructure-independent bounds on the properties. These bounds are obtained through variational principles, analytic methods, and Hilbert space approaches. Most interesting is when the properties of the composite are unlike those of the constituent materials, and there has been an explosion of interest in such composites, now known as metamaterials. The Theory of Composites surveys these aspects, among others, and complements the new body of literature that has emerged since the book was written. It remains relevant today by providing historical background, a compendium of numerous results, and through elucidating many of the tools still used today in the analysis of composite properties. This book is intended for applied mathematicians, physicists, and electrical and mechanical engineers. It will also be of interest to graduate students.

Cohesion in Metals

Author: Frank R. Boer

Publisher: North Holland

Published: 1988

Total Pages: 788

ISBN-13:

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Hardbound. - Complete collection of phase diagrams; - Up-to-date experimental information and bibliography on thermochemical data; - Formation enthalpies as predicted by the Miedema model for binary solid and liquid solutions and compounds. The first volume in this series presents a complete collection of heat of formation data on binary intermetallic compounds that contain at least one transition metal.Both solid compounds and liquid alloys are considered. A complete table of model predictions is given for systems which lack this experimental information and the origin of the model and the accuracy of the predictions are discussed extensively. Furthermore, the authors demonstrate the applicability of the atomic model in predicting energy effects in metal science in general. When surface energies and vacancy-formation energies of pure metals and model values for enthalpies of alloying are available, one can deal with a large variety of proble

Polymer Films with Embedded Metal Nanoparticles

Author: Andreas Heilmann

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 224

ISBN-13: 3662052334

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This book presents an overview of nanostructure determination and ways to find relationships to the electronic and optical properties. The methods described can be applied to a large number of other granular metal-insulator systems and used as a guideline for characterisation and modelling. In addition, the book describes the manufacture of artificially structured nanomaterials using laser or electron-beam irradiation.

The Method of Volume Averaging

Author: S. Whitaker

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 236

ISBN-13: 9401733899

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Multiphase systems dominate nearly every area of science and technology, and the method of volume averaging provides a rigorous foundation for the analysis of these systems. The development is based on classical continuum physics, and it provides both the spatially smoothed equations and a method of predicting the effective transport coefficients that appear in those equations. The text is based on a ten-week graduate course that has been taught for more than 20 years at the University of California at Davis and at other universities around the world. Problems dealing with both the theoretical foundations and the applications are included with each chapter, and detailed solutions for all problems are available from the author. The course has attracted participants from chemical engineering, mechanical engineering, civil engineering, hydrologic science, mathematics, chemistry and physics.

Ellipsometry at the Nanoscale

Author: Maria Losurdo

Publisher: Springer Science & Business Media

Published: 2013-03-12

Total Pages: 740

ISBN-13: 3642339565

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This book presents and introduces ellipsometry in nanoscience and nanotechnology making a bridge between the classical and nanoscale optical behaviour of materials. It delineates the role of the non-destructive and non-invasive optical diagnostics of ellipsometry in improving science and technology of nanomaterials and related processes by illustrating its exploitation, ranging from fundamental studies of the physics and chemistry of nanostructures to the ultimate goal of turnkey manufacturing control. This book is written for a broad readership: materials scientists, researchers, engineers, as well as students and nanotechnology operators who want to deepen their knowledge about both basics and applications of ellipsometry to nanoscale phenomena. It starts as a general introduction for people curious to enter the fields of ellipsometry and polarimetry applied to nanomaterials and progresses to articles by experts on specific fields that span from plasmonics, optics, to semiconductors and flexible electronics. The core belief reflected in this book is that ellipsometry applied at the nanoscale offers new ways of addressing many current needs. The book also explores forward-looking potential applications.