Effective Medium Theory


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Effective Medium Theory


Effective Medium Theory

Author: Tuck C. Choy

language: en

Publisher: Oxford University Press

Release Date: 1999


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Effective medium theory arises in condensed matter physics when a field in a material medium is to be considered. The subject has been developed considerably 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 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 and others, and the unifying aspects of the effective medium concept are emphasized. The final chapter contains a wide range of useful applications in condensed matter physics and material science.

The Principles of Deep Learning Theory


The Principles of Deep Learning Theory

Author: Daniel A. Roberts

language: en

Publisher: Cambridge University Press

Release Date: 2022-05-26


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This volume develops an effective theory approach to understanding deep neural networks of practical relevance.

Effective Medium Theory of Metamaterials and Metasurfaces


Effective Medium Theory of Metamaterials and Metasurfaces

Author: Wei Xiang Jiang

language: en

Publisher: Cambridge University Press

Release Date: 2022-01-31


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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.