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Modern Analytical Electromagnetic Homogenization With Mathematica

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Modern Analytical Electromagnetic Homogenization With Mathematica

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Author : Tom G. Mackay
language : en
Publisher:
Release Date : 2020

Modern Analytical Electromagnetic Homogenization With Mathematica written by Tom G. Mackay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Composite materials categories.

Modern Analytical Electromagnetic Homogenization With Mathematica

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Author : Tom G. Mackay
language : en
Publisher:
Release Date : 2020

Modern Analytical Electromagnetic Homogenization With Mathematica

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Author : Tom G MacKay
language : en
Publisher: Myprint
Release Date : 2020-12-10

Modern Analytical Electromagnetic Homogenization With Mathematica written by Tom G MacKay and has been published by Myprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with categories.

This book is an overview of state-of-the-art analytical homogenization formalisms used to estimate the effective electromagnetic properties of complex composite materials. Beginning with an introduction to homogenization, the book progresses to cover both constitutive and depolarization dyadics. The homogenization formalisms for linear and non-linear materials are examined, followed by their applications and multiple examples using Mathematica code. This text is a valuable reference for PhD students and researchers working on the electromagnetic theory of complex composite materials. Key Features Explicit formulas provided for the homogenization of isotropic, anisotropic, and bianisotropic composite materials Numerical data provided for a wide range of representative homogenized composite materials Includes Mathematica codes to enable readers to readily perform their own calculations

Modern Analytical Electromagnetic Homogenization

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Author : Tom G Mackay
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-07-01

Modern Analytical Electromagnetic Homogenization written by Tom G Mackay and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-01 with Science categories.

Electromagnetic homogenization is the process of estimating the effective electromagnetic properties of composite materials in the long-wavelength regime, wherein the length scales of nonhomogeneities are much smaller than the wavelengths involved. This is a bird’s-eye view of currently available homogenization formalisms for particulate composite materials. It presents analytical methods only, with focus on the general settings of anisotropy and bianisotropy. The authors largely concentrate on ‘effective’ materials as opposed to ‘equivalent’ materials, and emphasize the fundamental (but sometimes overlooked) differences between these two categories of homogenized composite materials. The properties of an ‘effective’ material represents those of its composite material, regardless of the geometry and dimensions of the bulk materials and regardless of the orientations and polarization states of the illuminating electromagnetic fields. In contrast, the properties of ‘equivalent’ materials only represent those of their corresponding composite materials under certain restrictive circumstances.

Acoustic Metamaterials

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Author : Richard Craster
language : en
Publisher: Springer Nature
Release Date : 2024-11-16

Acoustic Metamaterials written by Richard Craster and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-16 with Science categories.

The revised edition of this book offers an expanded review of acoustic metamaterials; novel materials which can manipulate sound waves, surface Rayleigh waves and water waves, in surprising ways, which include collimation, focusing, negative refraction, passive and active cloaking, sonic screening and extraordinary transmission. It covers both experimental and theoretical aspects of acoustic and elastic waves propagating in structured composites, with a focus on effective properties associated with negative refraction, lensing and cloaking. Updated chapters cover filtering effects, extraordinary transmission, sub-wavelength imaging via tomography or time-reversal techniques, cloaking via transformation acoustics, elastodynamics, and acoustic scattering cancellation. For this revised edition, six new chapters have been introduced to reflect recent developments in experimental acoustics and metasurfaces including acoustic impedance gratings and mirror symmetric metamaterials, phononic subsurfaces, time-modulated and topological crystals. The latter two are illustrated by simple Python program examples. The broad scope gives the reader an overview of the state of the art in acoustic metamaterials research and an indication of future directions and applications. It will serve as a solid introduction to the field for advanced students and researchers in physics, applied mathematics and mechanical engineering, and a valuable reference for those working in metamaterials and related areas.

Acoustic Metamaterials

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Author : Richard V. Craster
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Acoustic Metamaterials written by Richard V. Craster and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

About the book: This book is the first comprehensive review on acoustic metamaterials; novel materials which can manipulate sound waves in surprising ways, which include collimation, focusing, cloaking, sonic screening and extraordinary transmission. It covers both experimental and theoretical aspects of acoustic and elastic waves propagating in structured composites, with a focus on effective properties associated with negative refraction, lensing and cloaking. Most related books in the field address electromagnetic metamaterials and focus on numerical methods, and little (or no) experimental section. Each chapter will be authored by an acknowledged expert, amongst the topics covered will be experimental results on non-destructive imaging, cloaking by surface water waves, flexural waves in thin plates. Applications in medical ultrasound imaging and modeling of metamaterials will be emphasized too. The book can serve as a reference for researchers who wish to build a solid foundation of wave propagation in this class of novel materials.

Electromagnetic Surface Waves

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Author : John Polo
language : en
Publisher: Newnes
Release Date : 2013-05-31

Electromagnetic Surface Waves written by John Polo and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Technology & Engineering categories.

For decades, the surface-plasmon-polariton wave guided by the interface of simple isotropic materials dominated the scene. However, in recent times research on electromagnetic surface waves guided by planar interfaces has expanded into new and exciting areas. In the 1990's research focused on advancing knowledge of the newly discovered Dyakonov wave. More recently, much of the surface wave research is motivated by the proliferation of nanotechnology and the growing number of materials available with novel properties. This book leads the reader from the relatively simple surface-plasmon-polariton wave with isotropic materials to the latest research on various types of electromagnetic surface waves guided by the interfaces of complex materials enabled by recent developments in nanotechnology. This includes: Dyakonov waves guided by interfaces formed with columnar thin films, Dyakonov-Tamm waves guided by interfaces formed with sculptured thin films, and multiple modes of surface-plasmon-polariton waves guided by the interface of a metal and a periodically varying dielectric material. - Gathers research from the past 5 years in a single comprehensive view of electromagnetic surface waves. - Written by the foremost experts and researchers in the field. - Layered presentation explains topics with an introductory overview level up to a highly technical level.

The Theory Of Composites

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Author : Graeme W. Milton
language : en
Publisher: SIAM
Release Date : 2022-12-07

The Theory Of Composites written by Graeme W. Milton and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-07 with Mathematics categories.

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.

Electromagnetic Anisotropy And Bianisotropy

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Author : Tom G. Mackay
language : en
Publisher: World Scientific
Release Date : 2010

Electromagnetic Anisotropy And Bianisotropy written by Tom G. Mackay and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.

The topics of anisotropy and bianisotropy are fundamental to electromagnetics from both theoretical and experimental perspectives. These properties underpin a host of complex and exotic electromagnetic phenomenons in naturally occurring materials and in relativistic scenarios, as well as in artificially produced metamaterials. As a unique guide to this rapidly developing field, the book provides a unified presentation of key classic and recent results on the studies of constitutive relations, spacetime symmetries, planewave propagation, dyadic Green functions, and homogenization of composite materials. This book also offers an up-to-date extension to standard treatments of crystal optics with coverage on both linear and weakly nonlinear regimes. Sample Chapter(s). Chapter 1: The Maxwell Postulates and Constitutive Relations (380 KB). Contents: The Maxwell Postulates and Constitutive Relations; Linear Mediums; Spacetime Symmetries and Constitutive Dyadics; Planewave Propagation; Dyadic Green Functions; Homogenization; Nonlinear Mediums. Readership: Academics and professionals interested in crystal optics and electromagnetic fields in complex materials, including anisotropic, bianisotropic, and chiral materials and metamaterials.

Mathematical Modeling And Simulation

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Author : Kai Velten
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-01

Mathematical Modeling And Simulation written by Kai Velten and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Science categories.

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Modern Analytical Electromagnetic Homogenization With Mathematica

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