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.

Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that hyperbolic metamaterials demonstrate a number of novel phenomena resulting from the broadband singular behavior of their density of photonic states. These novel phenomena and applications include super resolution imaging, new stealth technologies, enhanced quantum-electrodynamic effects, thermal hyperconductivity, superconductivity, and interesting gravitation theory analogs. Here I review typical material systems, which exhibit hyperbolic behavior and outline important new applications of hyperbolic metamaterials, such as imaging experiments with plasmonic hyperbolic metamaterials and novel VCSEL geometries, in which the Bragg mirrors may be engineered in such a way that they exhibit hyperbolic properties in the long wavelength infrared range, so that they may be used to efficiently remove excess heat from the laser cavity. I will also discuss potential applications of self-assembled photonic hypercrystals. This system bypasses 3D nanofabrication issues, which typically limit hyperbolic metamaterial applications. Photonic hypercrystals combine the most interesting features of hyperbolic metamaterials and photonic crystals.

The subject of this book is the fast-developing area of research known as metamaterials/metasurfaces and some of their engineering applications. This book comprehensively presents the state of the art of metamaterials/metasurfaces from theory to applications. The theoretical side includes electrodynamics of left-handed medium, generalized Snell's law, digital coding metamaterials/metasurfaces, group theory of metamaterials, information metamaterials and metasurfaces, etc. On the application side, a wide range of design examples are discussed, including metamaterial antennas, electromagnetic interference, frequency selective surfaces, wireless power transmission and energy harvesting, cloaking and radar cross section reduction, orbital angular momentum, wireless communication, imaging, etc. The book provides researchers, engineers, and graduate students with a variety of new discoveries, results, information, and knowledge in the field of metamaterials and metasurfaces.

Dielectric Metamaterials: Fundamentals, Designs, and Applications links fundamental Mie scattering theory with the latest dielectric metamaterial research, providing a valuable reference for new and experienced researchers in the field. The book begins with a historical, evolving overview of Mie scattering theory. Next, the authors describe how to apply Mie theory to analytically solve the scattering of electromagnetic waves by subwavelength particles. Later chapters focus on Mie resonator-based metamaterials, starting with microwaves where particles are much smaller than the free space wavelengths. In addition, several chapters focus on wave-front engineering using dielectric metasurfaces and the nonlinear optical effects, spontaneous emission manipulation, active devices, and 3D effective media using dielectric metamaterials. - Highlights a crucial link in fundamental Mie scattering theory with the latest dielectric metamaterial research spanning materials, design and applications - Includes coverage of wave-front engineering and 3D metamaterials - Provides computational codes for calculating and simulating Mie resonances

Metamaterials have attracted enormous interests from both physics and engineering communities in the past 20 years, owing to their powerful ability in manipulating electromagnetic waves. However, the functionalities of traditional metamaterials are fixed at the time of fabrication. To control the EM waves dynamically, active components are introduced to the meta-atoms, yielding active metamaterials. Recently, a special kind of active metamaterials, digital coding and programmable metamaterials, are proposed, which can achieve dynamically controllable functionalities using field programmable gate array (FPGA). Most importantly, the digital coding representations of metamaterials set up a bridge between the digital world and physical world, and allow metamaterials to process digital information directly, leading to information metamaterials. In this Element, we review the evolution of information metamaterials, mainly focusing on their basic concepts, design principles, fabrication techniques, experimental measurement and potential applications. Future developments of information metamaterials are also envisioned.

Metamaterials and metasurfaces are developing exciting new frontier researches on reconfigurable materials with promising applications on tunable and active devices. The combination of metamaterials and microsystems not only uncap the controllability limits of optical metamaterials, but also pave the way for vast applications. This book focuses on structural reconfiguration of metasurfaces and metamaterials using microsystems, which have previously been developed for tiny machines and droplets formations. It covers multi-disciplinary researches on reconfigurable metamaterials and metasurfaces revealing their potential applications on densely integrated devices with working frequencies ranging from GHz to infrared region. Topics like MEMS metamaterials, frequency selective surface, photonic reconfigurable metasurfaces, and microfluidic metamaterials are just a few examples, which present lively research communities within the scope of this book. This book is intended for undergraduate and graduate students who are interested in fundamental science and technology of micro-optics and artificial materials, researchers in the field of reconfigurable and tunable metamaterials, and engineers working on tunable lens, Lidar, beam steering devices, or other applications.

Dielectric Metamaterials and Metasurfaces in Transformation Optics and Photonics addresses the complexity of electromagnetic responses from arrays of dielectric resonators, which are often omitted from consideration when using simplified metamaterials concepts. The book's authors present a thorough consideration of dielectric resonances in different environments which is needed to design optical and photonic devices. Dielectric metamaterials and photonic crystals are compared, with their effects analyzed. Design approaches and examples of designs for invisibility cloaks based on artificial media are also included. Current challenge of incorporating artificial materials into transformation optics-based and photonics devices are also covered. - Presents advanced concepts of utilizing artificial materials for optical and photonic device applications - Includes design approaches of materials for transformation optics, cloaking, applications and examples of these designs - Compares photonic crystals and metamaterials, their effects, properties and characteristics