Download or read book Modern Analytical Electromagnetic Homogenization with Mathematica written by Tom G MacKay and published by Myprint. This book was released on 2020-12-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Modern Analytical Electromagnetic Homogenization with Mathematica written by Tom G. Mackay and published by . This book was released on 2020-12-04 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Modern Analytical Electromagnetic Homogenization with Mathematica written by Tom G. Mackay and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Modern Analytical Electromagnetic Homogenization written by Tom G Mackay and published by Morgan & Claypool Publishers. This book was released on 2015-07-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Modern Analytical Electromagnetic Homogenization written by Tom G. Mackay and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multivariable Calculus with Mathematica written by Robert P. Gilbert and published by CRC Press. This book was released on 2020-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student’s theoretical understanding of the mathematics, and there are also computer algebra questions which test the student’s ability to apply their knowledge in non-trivial ways. Features Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics Written in a style that engages the students’ interest and encourages the understanding of the mathematical ideas

Download or read book Acoustic Metamaterials written by Richard V. Craster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Chebyshev and Fourier Spectral Methods written by John P. Boyd and published by Courier Corporation. This book was released on 2001-12-03 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Download or read book The Theory of Composites written by Graeme W. Milton and published by SIAM. This book was released on 2022-12-07 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Electromagnetic Anisotropy and Bianisotropy written by Tom G. Mackay and published by World Scientific. This book was released on 2010 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2009-06-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sculptured Thin Films written by Akhlesh Lakhtakia and published by SPIE Press. This book was released on 2005 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sculptured thin films (STFs) are a class of nanoengineered materials with properties that can be designed and realized in a controllable manner using physical vapor deposition. This text, presented as a course at the SPIE Optical Science and Technology Symposium, couples detailed knowledge of thin-film morphology with the optical response characteristics of STF devices. An accompanying CD contains Mathematica programs for use with the presented formalisms. Thus, readers will learn to design and engineer STF materials and devices for future applications, particularly with optical applications. Graduate students in optics and practicing optical engineers will find the text valuable, as well as those interested in emerging nanotechnologies for optical devices.

Download or read book Electromagnetic Surface Waves written by John Polo and published by Newnes. This book was released on 2013-05-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mirror Symmetry and Algebraic Geometry written by David A. Cox and published by American Mathematical Soc.. This book was released on 1999 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

Download or read book Cardiovascular Soft Tissue Mechanics written by Stephen C. Cowin and published by Springer Science & Business Media. This book was released on 2001 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cowin (New York Center for Biomedical Engineering) and Humphrey (biomedical engineering, Texas A&M U.) present seven papers that discuss current research and future directions. Topics concern tissues within the cardiovascular system (arteries, the heart, and biaxial testing of planar tissues such as heart valves). Themes include an emphasis on data on the underlying microstructure, especially collagen; the consideration of the fact that both arteries and the heart contain muscle and that there is, therefore, a need to quantify both the active and passive response; constitutive relations for active behavior; and the growth and remodeling of cardiovascular tissues. Of interest to cardiovascular and biomechanics soft tissue researchers, and bioengineers. Annotation copyrighted by Book News, Inc., Portland, OR.

Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.