Metamaterials: Beyond Crystals, Noncrystals, and Quasicrystals, 1st Edition (Hardback) book cover


Beyond Crystals, Noncrystals, and Quasicrystals, 1st Edition

By Tie Jun Cui, Wen Xuan Tang, Xin Mi Yang, Zhong Lei Mei, Wei Xiang Jiang

CRC Press

311 pages | 204 B/W Illus.

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Hardback: 9781482223101
pub: 2016-06-20
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Metamaterials: Beyond Crystals, Noncrystals, and Quasicrystals is a comprehensive and updated research monograph that focuses on recent advances in metamaterials based on the effective medium theory in microwave frequencies. Most of these procedures were conducted in the State Key Laboratory of Millimeter Waves, Southeast University, China.

The book conveys the essential concept of metamaterials from the microcosmic structure to the macroscopic electromagnetic properties and helps readers quickly obtain needed skills in creating new devices at microwave frequencies using metamaterials. The authors present the latest progress on metamaterials and transformation optics and provide abundant examples of metamaterial-based devices accompanied with detailed procedures to simulate, fabricate, and measure them.

Comprised of ten chapters, the book comprehensively covers both the fundamentals and the applications of metamaterials. Along with an introduction to the subject, the first three chapters discuss effective medium theory and artificial particles. The next three chapters cover homogeneous metamaterials (super crystals), random metamaterials (super noncrystals), and inhomogeneous metamaterials (super quasicrystals). The final four chapters examine gradient-index inhomogeneous metamaterials, nearly isotropic inhomogeneous metamaterials, and anisotropic inhomogeneous metamaterials, after which the authors provide their conclusions and closing remarks. The book is completely self-contained, making it easy to follow.

Table of Contents


Natural Materials and Metamaterials

Homogeneous Metamaterials: Several Special Cases

Random Metamaterials

Inhomogeneous Metamaterials

Structure of This Book



Effective Medium Theory

Lorentz–Drude Models

Retrieval Methods of Effective Medium Parameters

General Effective Medium Theory


Artificial Particles

Electrically Resonant Particles

Magnetically Resonant Particles

Dielectric-Metal Resonant Particles

Complementary Particles

Dielectric Particles

Nonresonant Particles

LC Particles

D.C. Particles


Homogeneous Metamaterials: Super Crystals

Homogeneous Metamaterials: Periodic Arrangements of Particles

Single-Negative Metamaterials

Double-Negative Metamaterials

Zero-Index Metamaterials

Double-Positive Metamaterials


Random Metamaterials: Super Noncrystals

Random Metamaterials: Random Arrangements of Particles

Diffuse Reflections by Metamaterial Coating with Randomly Distributed Gradients of Refractive Index

RCS Reduction by Metasurface with Random Distribution of Reflection Phase


Inhomogeneous Metamaterials: Super Quasicrystals

Inhomogeneous Metamaterials: Particularly Nonperiodic Arrays of Meta-Atoms

Geometric Optics Method: Design of Isotropic Metamaterials

Quasi-Conformal Mapping: Design of Nearly Isotropic Metamaterials

Optical Transformation: Design of Anisotropic Metamaterials



Gradient-Index Inhomogeneous Metamaterials

Several Representative GRIN Metamaterials

2D Planar Gradient-Index Lenses

2D Luneburg Lens

2D Half Maxwell Fisheye Lens

3D Planar Gradient-Index Lens

3D Half Luneburg Lens

3D Maxwell Fisheye Lens

Electromagnetic Black Hole


Nearly Isotropic Inhomogeneous Metamaterials

2D Ground-Plane Invisibility Cloak

2D Compact Ground-Plane Invisibility Cloak

2D Ground-Plane Illusion-Optics Devices

2D Planar Parabolic Reflector

3D Ground-Plane Invisibility Cloak

3D Flattened Luneburg Lens


Anisotropic Inhomogeneous Metamaterials

Spatial Invisibility Cloak

D.C. Circuit Invisibility Cloak

Spatial Illusion-Optics Devices

Circuit Illusion-Optics Devices


Conclusions and Remarks

Summary of the Book

New Trends of Metamaterials


About the Authors

Tie Jun Cui is the full professor of the School of Information Science and Engineering, Southeast University, Nanjing, China, and associate director of the State Key Laboratory of Millimeter Waves. Since 2013, he has served as a representative of the People’s Congress of China. Dr. Cui earned his BSc, MSc, and PhD degrees in electrical engineering from Xidian University, Xi’an, China, in 1987, 1990, and 1993, respectively. He is coeditor of the book Metamaterials: Theory, Design, and Applications and the author of six book chapters. He haspublished over 350 peer-reviewed journal articles in Science, PNAS, Nature Communications, Physical Review Letters, Physical Review X, Advanced Materials, Light Science & Applications, and IEEE Transactions.

Wen Xuan Tang earned her bachelor’s degree in electronic engineering and her MSc degree in electromagnetic field and microwave technology from Southeast University, Nanjing, China, in 2006 and 2009, respectively, and her PhD degree in electromagnetics from Queen Mary University of London, London, United Kingdom, in 2012. In November 2012, she joined the School of Information Science and Engineering, Southeast University, Nanjing, China, as a lecturer. She has published over 20 technical articles in highly ranked journals, including IEEE Transactions on Antenna and Propagation, New Journal of Physics, Optics Express, Applied Physics Letters, and Scientific Reports.

Xin Mi Yang was born in Suzhou, Jiangsu Province, China, in March 1982. He earned his BS and PhD degrees from Southeast University, Nanjing, China, in 2005 and 2010, respectively, both in the School of Information Science and Engineering. Since November 2010, he has been with the School of Electronics and Information Engineering, Soochow University, Suzhou, China. His current research interests include metamaterials, metasurfaces, LTCC technology, and their applications in antennas and microwave engineering.

Zhong Lei Mei is a professor in the School of Information Science and Engineering, Lanzhou University, Lanzhou, China. He is also deputy dean of the school. He received his BSc, MSc, and PhD degrees in radio physics from Lanzhou University, China, in 1996, 1999, and 2007, respectively. Dr. Mei is a visiting research fellow in the State Key Laboratory of Millimeter Waves. His current research interest includes metamaterials and computational electromagnetics. He has published over 30 peer-reviewed journal articles in international journals, including Physical Review Letters, IEEE Transactions on Antenna and Propagation, New Journal of Physics, Optics Express, and Applied Physics Letters.

Wei Xiang Jiang earned his PhD degree in electrical engineering from Southeast University, Nanjing, China, in October 2010.He joined the State Key Laboratory of Millimeter Waves, Southeast University, in November 2010, and was promoted to the post of associate professor in April 2011 and professor in April 2015.He has published more than 60 peer-reviewed journal articles in Advanced Materials, Advanced Functional Materials, Materials Today, and Applied Physics Letters.His current research interests include electromagnetic theory, illusion optics, and metamaterials. Dr. Jiang’s research has been selected as Research Highlights by Europhysics News in June 2008, Research Highlights in 2008 by Journal of Physics D: Applied Physics, and Research Highlights by Applied Physics Letters in 2011.

Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Information Technology
SCIENCE / Physics