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This book provides an overview of the use of toroidal moments. This includes methods of excitation, numerical analysis, and experimental measurements of associating structures. Special emphasis is placed on understanding the fundamental physics, characteristics, and real-world applications of toroidal multipoles. This book also covers a variety of both planar and 3D meta-atom and metamolecule schemes capable to sustain toroidal moments across a wide range of spectrum. It discusses the implementation of innovative approaches, for exploring the spectral features and excitation methodologies, predicting the properties of the correlating metasystems in their excited states. An applicable text for undergraduate, graduate, and postgraduate students, this book is also of interest to researchers, theorizers, and experimentalists working in optical physics, photonics, and nanotechnology.
Stefan Nanz investigates the necessity for three multipole families in classical electrodynamics. He shows that by imposing symmetry and parity constraints, it is sufficient to deal with only two multipole families. This implies that the toroidal multipole moments do not represent an independent multipole family, and they only emerge in the long-wavelength limit.
This book focuses on the use of novel electron microscopy techniques to further our understanding of the physics behind electron–light interactions. It introduces and discusses the methodologies for advancing the field of electron microscopy towards a better control of electron dynamics with significantly improved temporal resolutions, and explores the burgeoning field of nanooptics – the physics of light–matter interaction at the nanoscale – whose practical applications transcend numerous fields such as energy conversion, control of chemical reactions, optically induced phase transitions, quantum cryptography, and data processing. In addition to describing analytical and numerical techniques for exploring the theoretical basis of electron–light interactions, the book showcases a number of relevant case studies, such as optical modes in gold tapers probed by electron beams and investigations of optical excitations in the topological insulator Bi2Se3. The experiments featured provide an impetus to develop more relevant theoretical models, benchmark current approximations, and even more characterization tools based on coherent electron–light interactions.
The scope of this work is to provide an extensive experimental investigation of ferrotoroidicity, the most recently established type of ferroic order that is based on the uniform unit-cell-sized alignment of magnetic whirls. This is achieved by transferring basic spin configurations pertinent for the emergence of toroidal order to mesoscopic length scales. An engineering of and access to the system's magnetic degrees of freedom is made possible by using nanomagnetic arrays as model systems. The work revealsmicroscopic and macroscopic aspects of toroidally ordered matter beyond the reach of natural materials.
This textbook bridges the gap between university courses on electrodynamics and the knowledge needed to successfully address the problem of electrodynamics of metamaterials. It appeals to both experimentalists and theoreticians who are interested in the physical basics of metamaterials and plasmonics. Focusing on qualitative fundamental treatment as opposed to quantitative numerical treatment, it covers the phenomena of artificial magnetization at high frequencies, and discusses homogenization procedures and the basics of quantum dynamics in detail. By considering different phenomena it creates a self-consistent qualitative picture to explain most observable phenomena. This allows readers to develop a better understanding of the concepts, and helps to create a conceptual approach, which is especially important in educational contexts. This clearly written book includes problems and solutions for each chapter, which can be used for seminars and homework, as well as qualitative models that are helpful to students.
The five-volume set may serve as a comprehensive reference on electromagnetic analysis and its applications at all frequencies, from static fields to optics and photonics. The material includes micro- and nanomagnetics, the new generation of electric machines, renewable energy, hybrid vehicles, low-noise motors; antennas and microwave devices, plasmonics, metamaterials, lasers, and more.Written at a level accessible to both graduate students and engineers, Electromagnetic Analysis is a comprehensive reference, covering methods and applications at all frequencies (from statics to optical). Each volume contains pedagogical/tutorial material of high archival value as well as chapters on state-of-the-art developments.
This book consists of chapters written by international experts on various aspects of single molecule toroics (SMTs).The chapters cover a broad range of relevant topics and highlight the latest advances performed in the field. An up-to-date overview of the emerging SMT architectures is presented while particular attention is given to not only the magnetism and relaxation effects involved but also to the respective applications in advanced electronics and memory devices. The role that lanthanides play -especially that of dysprosium- is discussed, while a thorough analysis using theoretical/ab initio calculations is provided. Since SMTs have grown out of single molecule magnetism (SMM), it is an expanding and topical subject and the present book will engender excitement and interest amongst chemists, physicists, theoreticians and materials scientists. The volume will be of great interest to researchers and graduates working on this topic and particularly those involved in lanthanide chemistry, magnetism and theory.
Toroidal multipoles are the terms missing in the standard multipole expansion; they are usually overlooked due to their relatively weak coupling to the electromagnetic fields. Here, we propose and theoretically study all-dielectric metamaterials of a special class that represent a simple electromagnetic system supporting toroidal dipolar excitations in the THz part of the spectrum. In addition, we show that resonant transmission and reflection of such metamaterials is dominated by toroidal dipole scattering, the neglect of which would result in a misunderstanding interpretation of the metamaterials' macroscopic response. Due to the unique field configuration of the toroidal mode, the proposed metamaterials could serve as a platform for sensing or enhancement of light absorption and optical nonlinearities.