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- ISBN:9787560394367
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 开本:16开
- 页数:136
- 出版时间:2021-06-01
- 条形码:9787560394367 ; 978-7-5603-9436-7
内容简介
本书是一部英文版的物理学专著。本书涵盖的主题如下:章概述了均质化的基本概念,包括对均质化历史发展的简要介绍;在第2章中使用二元语言阐述了各向同性的、各向异性和双各向异性材料(线性或非线性)的本质关系;在第3章中介绍了线性均质材料的很一般的分类,在此基础上,建立了解析均质形式的去极化二元和极化率密度二元的数学构造;第4章和第5章分别介绍了线性和弱非线性复合材料的均质化形式,并且包含一些具有代表性的数值例,以说明本书特别值得注意的一些内容;在第6章中,我们以简短的结语来结束本书。本著作很好简明,我们仅给出了关键的结果,每章末尾列出的参考文献提供了这些结果的推导的详细过程。
目录
Preface
Acknowledgements
Author biographies
1 Introduction to homogenization
1.1 The notion of a homogenized composite material
1.2 Salient features of homogenization formalisms
1.3 A brief history of homogenization formalisms
1.4 Organization of this book
Bibliography
2 Constitutive dyadics
2.1 Microscopic and macroscopic electromagnetic perspectives
2.2 Constitutive relations
2.3 Frequency domain
2.4 A compact representation
2.5 Dissipative and nondissipative materials
2.6 Linear materials
2.6.1 Isotropic and bi-isotropic materials
2.6.2 Anisotropic and bianisotropic materials
2.7 Nonlinear materials
Bibliography
3 Depolarization dyadics
3.1 Dyadic Green functions
3.1.1 Defining properties
3.1.2 Spectral representation
3.2 Depolarization dyadics
3.2.1 Ellipsoidal region
3.2.2 Spherical region
3.2.3 Cylindrical region
3.3 Polarizability density
Bibliography
4 Homogenization formalisms: linear materials
4.1 Preliminaries
4.1.1 Constituent materials
4.1.2 Homogenized composite materials
4.2 Maxwell Garnett formalism
4.2.1 Formulas
4.2.2 Inverse formalism
4.2.3 Incremental and differential formalisms
4.3 Bruggeman formalism
4.3.1 Formulas
4.3.2 Inverse formalism
4.4 Strong-property-fluctuation theory
4.4.1 Introduction
4.4.2 Lowest-order approximation
4.4.3 Second-order approximation
4.4.4 Third-order approximation
4.5 Extended formalisms
4.5.1 Generalities
4.5.2 An example: isotropic dielectric composite material
4.6 Applications
4.6.1 Realization of anisotropy and bianisotropy
4.6.2 Disk-shaped and needle-shaped particles
4.6.3 Plane-wave phenomena
4.6.4 Inverse homogenization
4.7 Limitations
Bibliography
5 Homogenization formalisms: nonlinear materials
5.1 Preliminaries
5.2 Maxwell Garnett formalism
5.3 Strong-property-fluctuation theory
5.3.1 Isotropic dielectric composite materials
5.3.2 Isotropic chiral composite materials
5.3.3 Anisotropic dielectric composite materials
5.4 Nonlinearity enhancement via homogenization
Bibliography
6 Epilogue
Bibliography
Appendix A 3×3 Dyadics
编辑手记
Acknowledgements
Author biographies
1 Introduction to homogenization
1.1 The notion of a homogenized composite material
1.2 Salient features of homogenization formalisms
1.3 A brief history of homogenization formalisms
1.4 Organization of this book
Bibliography
2 Constitutive dyadics
2.1 Microscopic and macroscopic electromagnetic perspectives
2.2 Constitutive relations
2.3 Frequency domain
2.4 A compact representation
2.5 Dissipative and nondissipative materials
2.6 Linear materials
2.6.1 Isotropic and bi-isotropic materials
2.6.2 Anisotropic and bianisotropic materials
2.7 Nonlinear materials
Bibliography
3 Depolarization dyadics
3.1 Dyadic Green functions
3.1.1 Defining properties
3.1.2 Spectral representation
3.2 Depolarization dyadics
3.2.1 Ellipsoidal region
3.2.2 Spherical region
3.2.3 Cylindrical region
3.3 Polarizability density
Bibliography
4 Homogenization formalisms: linear materials
4.1 Preliminaries
4.1.1 Constituent materials
4.1.2 Homogenized composite materials
4.2 Maxwell Garnett formalism
4.2.1 Formulas
4.2.2 Inverse formalism
4.2.3 Incremental and differential formalisms
4.3 Bruggeman formalism
4.3.1 Formulas
4.3.2 Inverse formalism
4.4 Strong-property-fluctuation theory
4.4.1 Introduction
4.4.2 Lowest-order approximation
4.4.3 Second-order approximation
4.4.4 Third-order approximation
4.5 Extended formalisms
4.5.1 Generalities
4.5.2 An example: isotropic dielectric composite material
4.6 Applications
4.6.1 Realization of anisotropy and bianisotropy
4.6.2 Disk-shaped and needle-shaped particles
4.6.3 Plane-wave phenomena
4.6.4 Inverse homogenization
4.7 Limitations
Bibliography
5 Homogenization formalisms: nonlinear materials
5.1 Preliminaries
5.2 Maxwell Garnett formalism
5.3 Strong-property-fluctuation theory
5.3.1 Isotropic dielectric composite materials
5.3.2 Isotropic chiral composite materials
5.3.3 Anisotropic dielectric composite materials
5.4 Nonlinearity enhancement via homogenization
Bibliography
6 Epilogue
Bibliography
Appendix A 3×3 Dyadics
编辑手记
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