This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.
This book covers an extensive class of models involving inhomogeneous Poisson processes and deals with their identification, i.e. the solution of certain estimation or hypothesis testing problems based on the given dataset. These processes are mathematically easy-to-handle and appear in numerous disciplines, including astronomy, biology, ecology, geology, seismology, medicine, physics, statistical mechanics, economics, image processing, forestry, telecommunications, insurance and finance, reliability, queuing theory, wireless networks, and localisation of sources. Beginning with the definitions and properties of some fundamental notions (stochastic integral, likelihood ratio, limit theorems, etc.), the book goes on to analyse a wide class of estimators for regular and singular statistical models. Special attention is paid to problems of change-point type, and in particular cusp-type change-point models, then the focus turns to the asymptotically efficient nonparametric estimation of the mean function, the intensity function, and of some functionals. Traditional hypothesis testing, including some goodness-of-fit tests, is also discussed. The theory is then applied to three classes of problems: misspecification in regularity (MiR),corresponding to situations where the chosen change-point model and that of the real data have different regularity; optical communication with phase and frequency modulation of periodic intensity functions; and localization of a radioactive (Poisson) source on the plane using K detectors. Each chapter concludes with a series of problems, and state-of-the-art references are provided, making the book invaluable to researchers and students working in areas which actively use inhomogeneous Poisson processes.
In the adsorption phenomenon the substances from the external environment the gas or liquid are absorbed by a solid surface (adsorbent). Adsorption is used to separate gaseous and liquid mixtures, for drying and purification of gases and liquids. This reference broadly explores the calculation of the equilibrium and dynamic characteristics of adsorption in porous bodies at the molecular level. Two new theories of statistical physics are presented, both developed by the author for the consistent description of the equilibrium distribution of molecules and dynamics of flows in complex porous materials to be able to solve a wide range of practical tasks in the development of new technologies.
This book covers a topic that has been neglected for years and has returned to the spotlight only recently. Until the genetic role of DNA was firmly established, many researchers suspected that proteins, rather than nucleic acids, could be carriers of heritable information. However, these models were completely forgotten with the triumphal march of the double helix and the development of a central dogma postulating that information flow occurs strictly from DNA, through RNA, to protein, making it seemingly impossible for the proteins to possess a coding potential. Proteins were downgraded to the role of simple perpetuators and executors of DNA orders. Taken together, data included in this book prove beyond a reasonable doubt that proteins and multiprotein complexes are able to control heritable traits, and that, at least in some examples, this control occurs in a template-like fashion, so that new structures strictly reproduce patterns of pre-existing structures that were not specifically coded in DNA. Thus, protein-based inheritance has left the area of speculation and has emerged as a new topic amenable to high-quality experimental analysis.
This book explores the major techniques involved in optimization, control theory, and calculus of variations. The book serves as a concise contemporary guide to optimal control theory, optimization, numerical methods and beyond. As such, it is a valuable source to learn mathematical modeling and the mathematical nature of optimization and optimal control. The presence of a variety of exercises solved down to numerical values is one of the main characteristic features of the book. Another one is its compactness, and the material’s usefulness in preparing and teaching several different university courses. The investigation of trends and their formation undertaken in the book leads seamlessly into extrapolation techniques and rigorous methods of scientific prediction. The research for this book was accomplished at the Russian Technological University (RTU) MIREA, based on the courses which have been taught at the RTU for many years.
This book covers the most attractive problem in robot control, dealing with the direct interaction between a robot and a dynamic environment, including the human-robot physical interaction. It provides comprehensive theoretical and experimental coverage of interaction control problems, starting from the mathematical modeling of robots interacting with complex dynamic environments, and proceeding to various concepts for interaction control design and implementation algorithms at different control layers. Focusing on the learning principle, it also shows the application of new and advanced learning algorithms for robotic contact tasks.The ultimate aim is to strike a good balance between the necessary theoretical framework and practical aspects of interactive robots.
As man turns his attention from the overcrowded continents of this planet and explores the spaciousness of the ocean, the applications of ocean acoustics become increasingly numerous and important. This book pro- vides an up-to-date introduction to the theory of sound propagation in the ocean, with much new material having been added throughout the second edition. It includes both ray and wave treatments and considerable attention is paid to stochastic problems such as the scattering of sound at rough surfaces and random inhomogeneties. An introductory chapter that discusses the basic experimental data complements the following theoretical chapters.
The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.
This book guides readers through the systematic analysis of Arc Spraying: one of the most widespread and important thermal spraying methods. Along the way, readers from industry and research laboratories become familiar with the features of the process and physical-chemical regulations of particles in flight, coating formation, internal coating properties, and their output parameters. The book is ideal for engineers, technicians, and scientists engaged in welding and thermal spraying and stands as an excellent reference for students interested in advanced coatings technology.
This book addresses problems of GNSS performance support under geomagnetic storms and solar radio bursts. It analyses both physical and radio-engineering sources of GNSS performance deterioration caused by geomagnetic storms, solar radio bursts and peculiarities of the polar and equatorial ionosphere. The book takes into consideration both standalone GNSS and differential GNSS. Based on experimental data analysis, it presents a systematic approach to maintaining reliable GNSS performance despite the Space Weather impacts. Given its scope, the book offers a valuable resource for GNSS users and equipment developers, as well as researchers and students whose work involves GNSS remote sensing, surveying, navigation, and related disciplines.
This resource provides a comprehensive treatment of the methods, analysis, and practice of impulse and ultrawideband (UWB) systems. Sources, antennas, propagation, electromagnetic theory, and actual practical systems are explored.This book provides novel perspective on impulse and short-pulse wireless engineering along with practical guidance on how to build antennas and radio hardware for high-power impulse signals. Theoretical and experimental results in the time-frequency domain are presented. The book explains and discusses the scattering of UWB electromagnetic pulses by conducting and dielectric objects. Impulse responses of objects and propagation channels are explored with details of signal models and their spectral characteristics and uses of regularization of a Kramers-Kroning type relation for estimating transfer functions. Readers gain insight into the development of high-power sources of UWB radiation with megavolt effective potential on the base of combined antenna arrays excited with bipolar voltage pulses. This in-depth volume includes chapters on receiving antennas, transmitting antennas, and antenna arrays along with details on high-power UWB radiation sources as well as problem sets.
This book presents materials on the implementation of modern technologies for aircraft information support and ground-based radio equipment for flights in the Russian Federation, especially in the Arctic and far Eastern regions, as well as new methods for monitoring the flight of civil aviation aircraft based on the use of local control and correction stations and optical systems that fully meet the requirements of international and domestic organizations for the reliability and integrity of transmitted information. The book is intended for engineering and technical specialists involved in the development, manufacturing and operation of aircraft avionics and ground-based radio electronic flight support systems, as well as graduate students and senior students of radio engineering specialties. It is useful to researchers and professionals whose activities are related to air traffic control.
This book is devoted primarily to the various kinds of resonant nonlinear in teractions of light with two-level (or, in many cases, multilevel) systems. The interactions can involve one-photon as well as multiphoton processes in which some combinations of frequencies of participating photons are close to tran sitions of atoms or molecules (e.g., we consider stimulated Raman scattering (SRS) as a resonant interaction). This approach involves a broad spectrum of problems. Discussion of some of the basic phenomena as well as the pertinent theory could be found, for instance, in such well-known books as the ones due to N. Bloembergen; S.A. Akhmanov and R.V. Khokhlov; L. Allen and J.H. Eberly, and to V.M. Fain and Ya.1. Khanin. The book "Quantum Electronics" by A. Yariv could serve as an introductory guide to the subject. Thus, some of the basic material in the present book will already be well known to the reader who is an expert in the field. There are, for instance, general density matrix equations; two-level model and basic effects associated with this model, such as saturation of one-photon absorption and Raby oscillations; some basic multiphoton processes such as two-photon absorption, SRS, etc.
This completely revised and enlarged English edition of the original Russianbook deals with the identification and separation of charged particles in high energy physics experiments. Proportional drift and streamer chambers as well as ionization measurements with cloud, spark, and ionization chambers are discussed. Both scientists and advanced undergraduate students specializing in high energy or nuclear physics will find useful information for planning and performing ionization measurements and their analyses.
This book addresses the most advanced to-date mathematical approach and numerical methods in electromagnetic field theory and wave propagation. It presents the application of developed methods and techniques to the analysis of waves in various guiding structures —shielded and open metal-dielectric waveguides of arbitrary cross-section, planar and circular waveguides filled with inhomogeneous dielectrics, metamaterials, chiral media, anisotropic media and layered media with absorption. It also looks into spectral properties of wave propagation for the waveguide families being considered, and the relevant mathematical techniques such as spectral theory of non-self-adjoint operator-valued functions are described, including rigorous proofs of the existence of various types of waves. Further, numerical methods constructed on the basis of the presented mathematical approach and the results of numerical modeling for various structures are also described in depth. The book is beneficial to a broad spectrum of readers ranging from pure and applied mathematicians in electromagnetic field theory to researchers and engineers who are familiar with mathematics. Further, it is also useful as a supplementary text for upper-level undergraduate students interested in learning more advanced topics of mathematical methods in electromagnetics.
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