Modern Analytical Electromagnetic Homogenization With Mathematicar

Author : Tom G MacKay
Publisher : Myprint
ISBN 13 : 9780750334242
Total Pages : 204 pages
Book Rating : 4.4X/5 ( download)

DOWNLOAD NOW!

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

Author : Tom G. Mackay
Publisher :
ISBN 13 : 9780750334211
Total Pages : 204 pages
Book Rating : 4.15/5 ( download)

DOWNLOAD NOW!

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

Author : Tom G. Mackay
Publisher :
ISBN 13 : 9780750334228
Total Pages : pages
Book Rating : 4.23/5 ( download)

DOWNLOAD NOW!

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.

Author : Tom G Mackay
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627057099
Total Pages : 99 pages
Book Rating : 4.97/5 ( download)

DOWNLOAD NOW!

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.

Author : Tom G. Mackay
Publisher :
ISBN 13 : 9781627057400
Total Pages : pages
Book Rating : 4.04/5 ( download)

DOWNLOAD NOW!

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.

Author : Robert P. Gilbert
Publisher : CRC Press
ISBN 13 : 1351665464
Total Pages : 418 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!

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

Author : Richard V. Craster
Publisher : Springer Science & Business Media
ISBN 13 : 9400748132
Total Pages : 333 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

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.

Author : John P. Boyd
Publisher : Courier Corporation
ISBN 13 : 0486411834
Total Pages : 690 pages
Book Rating : 4.35/5 ( download)

DOWNLOAD NOW!

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.

Author : Graeme W. Milton
Publisher : SIAM
ISBN 13 : 1611977487
Total Pages : 761 pages
Book Rating : 4.86/5 ( download)

DOWNLOAD NOW!

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.

Author : Tom G. Mackay
Publisher : World Scientific
ISBN 13 : 9814289612
Total Pages : 236 pages
Book Rating : 4.10/5 ( download)

DOWNLOAD NOW!

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.