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Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices: Physical Interpretation And Applications (Springer Theses)
by Evdokiya Georgieva KostadinovaThis book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered.Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.
Spectral Atlas for Amateur Astronomers: A Guide to the Spectra of Astronomical Objects and Terrestrial Light Sources
by Richard WalkerFeaturing detailed commented spectral profiles of more than one hundred astronomical objects, in colour, this spectral guide documents most of the important and spectroscopically observable objects accessible using typical amateur equipment. It allows you to read and interpret the recorded spectra of the main stellar classes, as well as most of the steps from protostars through to the final stages of stellar evolution as planetary nebulae, white dwarfs or the different types of supernovae. It also presents integrated spectra of stellar clusters, galaxies and quasars, and the reference spectra of some terrestrial light sources, for calibration purposes. Whether used as the principal reference for comparing with your recorded spectra or for inspiring independent observing projects, this atlas provides a breathtaking view into our Universe's past. The atlas is accompanied and supplemented by Spectroscopy for Amateur Astronomers, which explains in detail the methods for recording, processing, analysing and interpreting your spectra.
Spectral Evolution in Blazars
by Christian FrommThis prize-winning thesis deals with the observation and modeling of the spectral evolution of blazars. Based on single-dish light curves, a model of shock-shock interaction is tested and confirmed using multi-frequency high resolution Very Long Baseline Observations. He presents state-of-the art numerical relativistic hydrodynamic simulations and the corresponding non-thermal emission is calculated (eRHD simulations). The author further presents new analysis techniques for VLBI observations that can be applied to numerous sources and provide reliable results including an error estimate using Monte Carlo simulations. He also develops an analytical shock model that can be applied quickly to other single dish observations. He shows how novel techniques of extraction of physical parameters from observations can be applied to other astrophysical sources and provide a link to a better understanding of the physical mechanism operating in blazar jets.
Spectral Functions in Mathematics and Physics
by Klaus KirstenThe literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,
Spectral Geometry of Graphs (Operator Theory: Advances and Applications #293)
by Pavel KurasovThis open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.The book has two central themes: the trace formula and inverse problems.The trace formula is relating the spectrum to the set of periodic orbits and is comparable to the celebrated Selberg and Chazarain-Duistermaat-Guillemin-Melrose trace formulas. Unexpectedly this formula allows one to construct non-trivial crystalline measures and Fourier quasicrystals solving one of the long-standing problems in Fourier analysis. The remarkable story of this mathematical odyssey is presented in the first part of the book.To solve the inverse problem for Schrödinger operators on metric graphs the magnetic boundary control method is introduced. Spectral data depending on the magnetic flux allow one to solve the inverse problem in full generality, this means to reconstruct not only the potential on a given graph, but also the underlying graph itself and the vertex conditions.The book provides an excellent example of recent studies where the interplay between different fields like operator theory, algebraic geometry and number theory, leads to unexpected and sound mathematical results. The book is thought as a graduate course book where every chapter is suitable for a separate lecture and includes problems for home studies. Numerous illuminating examples make it easier to understand new concepts and develop the necessary intuition for further studies.
Spectral Imaging: Dual-Energy, Multi-Energy and Photon-Counting CT (Medical Radiology)
by Hatem Alkadhi André Euler David Maintz Dushyant SahaniThis book, edited by leading experts in radiology, offers a state-of-the-art overview of the specifics and the added value of dual-energy, multi-energy, and spectral computed tomography (CT). Latest advances and upcoming innovations such as photon-counting detector CT are covered by renown experts in the field. The entire spectrum of clinical applications of dual-energy and spectral CT throughout the body is covered. Book chapters are written by expert authors with a background in physics and radiology and are richly illustrated with high quality figures, graphical illustrations, and tables. The first section covers background issues and the most relevant technical aspects of the technique, including a detailed description of the approaches to dual-energy, spectral and photon-counting CT by different vendors of CT scanners. The second part focusses on the use of dual-energy, spectral and photon-counting CT in daily clinical practice, and individual chapters are devoted to imaging of the brain, cardiovascular system, gastrointestinal tract, abdominal organs, skeletal system, and the chest. The focus of the book ensures that it will be of interest for a multidisciplinary forum of readers comprising radiologists, medical physicists, and other medical professionals and scientists being interested in cutting-edge CT imaging.
Spectral Measures and Dynamics: Typical Behaviors (Latin American Mathematics Series)
by César R. de Oliveira Moacir Aloisio Silas L. CarvalhoThis book convenes and deepens generic results about spectral measures, many of them available so far in scattered literature. It starts with classic topics such as Wiener lemma, Strichartz inequality, and the basics of fractal dimensions of measures, progressing to more advanced material, some of them developed by the own authors.A fundamental concept to the mathematical theory of quantum mechanics, the spectral measure relates to the components of the quantum state concerning the energy levels of the Hamiltonian operator and, on the other hand, to the dynamics of such state. However, these correspondences are not immediate, with many nuances and subtleties discovered in recent years.A valuable example of such subtleties is found in the so-called “Wonderland theorem” first published by B. Simon in 1995. It shows that, for some metric space of self-adjoint operators, the set of operators whose spectral measures are singular continuous is a generic set (which, for some, is exotic). Recent works have revealed that, on top of singular continuity, there are other generic properties of spectral measures. These properties are usually associated with a number of different notions of generalized dimensions, upper and lower dimensions, with dynamical implications in quantum mechanics, ergodicity of dynamical systems, and evolution semigroups. All this opens ways to new and instigating avenues of research.Graduate students with a specific interest in the spectral properties of spectral measure are the primary target audience for this work, while researchers benefit from a selection of important results, many of them presented in the book format for the first time.
Spectral Methods in Chemistry and Physics
by Bernard ShizgalThis book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.
Spectral Methods in Geodesy and Geophysics
by Christopher JekeliThe text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.
Spectral Mixture for Remote Sensing: Linear Model and Applications (Springer Remote Sensing/Photogrammetry)
by Yosio Edemir Shimabukuro Flávio Jorge PonzoniThis book explains in a didactic way the basic concepts of spectral mixing, digital numbers and orbital sensors, and then presents the linear modelling technique of spectral mixing and the generation of fractional images. In addition to presenting a theoretical basis for spectral mixing, the book provides examples of practical applications such as projects for estimating and monitoring deforested areas in the Amazon. In its seven chapters, the book offers remote sensing techniques to understand the main concepts, methods, and limitations of spectral mixing for digital image processing. Chapter 1 addresses the basic concepts of spectral mixing, while chapters 2 and 3 discuss digital numbers and orbital sensors such as MODIS and Landsat MSS. Chapter 4 details the linear spectral mixing model, and chapter 5 talks about how to use this technique to create fraction images. Chapter 6 offers remote sensing applications of fraction images in deforestation monitoring, burned-area mapping, selective logging detection, and land-use/land-cover mapping. Chapter 7 gives some concluding thoughts on spectral mixing, and considers future uses in environmental remote sensing. This book will be of interest to students, teachers, and researchers using remote sensing for Earth observation and environmental modelling.
Spectral Multi-Detector Computed Tomography: Data Acquisition, Image Formation, Quality Assessment and Contrast Enhancement (Series in Medical Physics and Biomedical Engineering)
by Xiangyang TangX-ray computed tomography (CT) has been one of the most popular diagnostic imaging modalities for decades in the clinic for saving patients’ lives or improving their quality of life. This book is an introductory one-stop shop for technological and clinical topics in multi-detector computed tomography (MDCT). Starting with MDCT’s fundamentals in physics and mathematics, the book provides an in-depth introduction to its system architecture and imaging chain, signal detection via energy-integration and photon-counting mechanisms, clinical application-driven scan modes and protocols, analytic and iterative image reconstruction solutions, and spectral imaging – the latest technological advancement in MDCT. The book extends its coverage on image quality assessment under the theory of signal detection and statistical decision. In recognition of its clinical relevance for conspicuity enhancement in angiographic and parenchymal imaging applications, the book features a chapter dedicated to the fundamental (chemical, physical and physicochemical) properties and clinical administration of iodinated contrast agent. The book ends with an outlook of the contrast agents that are novel in material and delivery, and their synergy with spectral MDCT to elevate CT’s contrast resolution in cardiovascular, neurovascular and oncologic applications. This book will be an invaluable reference for researchers, engineers, radiological physicians and technologists, and graduate and senior undergraduate students. Features Provides an accessible introduction to the subject Up to date with the latest advances in emerging technologies and procedures Provides a historical overview of CT technology Xiangyang Tang, PhD, is an imaging scientist with extensive research and development experience in industry (GE Healthcare), academia (Emory University School of Medicine) and the clinic (Emory Healthcare). With a focus on computed tomography, Tang has been working in the field of medical imaging for more than 20 years. He is a professor of radiology and imaging sciences at Emory University School of Medicine, Fellow of SPIE (International Society for Optics and Photonics) and Fellow of AAPM (American Association of Physicists in Medicine). Along with the publication of more than 200 papers in leading scientific journals and conferences, his contributions to the scientific community include serving as associate editor for a number of prestigious journals, in addition to working on the scientific committees of leading conferences and panels for numerous federal and foundational study sections.
Spectral Techniques In Proteomics
by Daniel S. SemFacilitating the innovation, development, and application of new spectroscopic methods in proteomics, Spectral Techniques in Proteomics provides a broad overview of the spectroscopic toolbox that can be used, either with proteome or sub-proteome mixtures or with individual/purified proteins studied in parallel. It gives a modest overview of
Spectral Theory and Mathematical Physics: STMP 2018, Santiago, Chile (Latin American Mathematics Series #254)
by Georgi Raikov Pablo Miranda Nicolas PopoffThis proceedings volume contains peer-reviewed, selected papers and surveys presented at the conference Spectral Theory and Mathematical Physics (STMP) 2018 which was held in Santiago, Chile, at the Pontifical Catholic University of Chile in December 2018. The original works gathered in this volume reveal the state of the art in the area and reflect the intense cooperation between young researchers in spectral theoryand mathematical physics and established specialists in this field. The list of topics covered includes: eigenvalues and resonances for quantum Hamiltonians; spectral shift function and quantum scattering; spectral properties of random operators; magnetic quantum Hamiltonians; microlocal analysis and its applications in mathematical physics. This volume can be of interest both to senior researchers and graduate students pursuing new research topics in Mathematical Physics.
Spectral Theory and Quantum Mechanics
by Valter MorettiThis book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that are privileged. Another not lesser purpose is to collect in one place a number of useful rigorous statements on the mathematical structure of Quantum Mechanics, including some elementary, yet fundamental, results on the Algebraic Formulation of Quantum Theories. In the attempt to reach out to Master's or PhD students, both in physics and mathematics, the material is designed to be self-contained: it includes a summary of point-set topology and abstract measure theory, together with an appendix on differential geometry. The book should benefit established researchers to organise and present the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.
Spectral Theory and Quantum Mechanics (Universitext)
by Mathieu LewinThis textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation incorporates numerous physical examples to illustrate the abstract theory. The final two chapters present recent findings on Schrödinger’s equation for systems of particles. While primarily designed for graduate courses, the book can also serve as a valuable introduction to the subject for more advanced readers. It requires no prior knowledge of physics, assuming only a graduate-level understanding of mathematical analysis from the reader.
Spectral Theory of Guided Waves
by A.S Silbergleit Y KopilevichSpectral Theory of Guided Waves represents a distillation of the authors' (and others) efforts over several years to rigorously discuss many of the properties of guided waves. The bulk of the book deals with the properties of eigenwaves of regular waveguiding systems and relates these to a variety of physical situations and applications to illustrate their generality. The book also includes considerable discussion of the basic properties of normal waves with quadratic operator pencils. Unique in its coverage of these subjects, the book will be of interest to engineers, applied mathematicians, and physicists with a working knowledge of functional analysis and spectral theory.
Spectral Theory of Localized Resonances and Applications
by Hongyu Liu Youjun DengThis book is devoted to the spectral theory of localized resonances including surface plasmon/polariton resonances, atypical resonances, anomalous localized resonances and interior transmission resonances. Those resonance phenomena arise in different physical contexts, but share similar features. They form the fundamental basis for many cutting-edge technologies and applications including invisibility cloaking and super-resolution imaging. The book presents a systematic and comprehensive treatment on these resonance phenomena and the associated applications in a unified manner from a mathematical and spectral perspective, covering acoustic, electromagnetic and elastic wave scattering.The book can serve as a handy reference book for researchers in this field and it can also serve as a textbook or an inspiring source for postgraduate students who are interested in entering this field.
Spectral Theory of Nonautonomous Dynamical Systems and Applications
by Thai Son DoanThe main challenge in the study of nonautonomous phenomena is to understand the very complicated dynamical behaviour both as a scientific and mathematical problem. The theory of nonautonomous dynamical systems has experienced a renewed and steadily growing interest in the last twenty years, stimulated also by synergetic effects of disciplines which have developed relatively independent for some time such as topological skew product, random dynamical systems, finite-time dynamics and control systems. The book provides new insights in many aspects of the qualitative theory of nonautonomous dynamical systems including the spectral theory, the linearization theory, the bifurcation theory. The book first introduces several important spectral theorem for nonautonomous differential equations including the Lyapunov spectrum, Sacker-Sell spectrum and finite-time spectrum. The author also establishes the smooth linearization and partial linearization for nonautonomous differential equations in application part. Then the second part recalls the multiplicative ergodic theorem for random dynamical systems and discusses several explicit formulas in computing the Lyapunov spectrum for random dynamical systems generated by linear stochastic differential equations and random difference equations with random delay. In the end, the Pitchfork bifurcation and Hopf bifurcation with additive noise are investigated in terms of change of the sign of Lyapunov exponents and loss of topological equivalence. This book might be appealing to researchers and graduate students in the field of dynamical systems, stochastic differential equations, ergodic theory.
Spectral and Dynamical Stability of Nonlinear Waves
by Keith Promislow Todd KapitulaThis book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbital stability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functional analytic point of view, including essential and absolute spectra, and develops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems is carefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of the Evans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative examples. The book is intended for first or second year graduate students in mathematics, or those with equivalent mathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position to understand and contribute to current research in nonlinear stability.
Spectral and Imaging Cytometry: Methods and Protocols (Methods in Molecular Biology #2635)
by Natasha S. Barteneva Ivan A. VorobjevThis second edition volume expands on the previous edition with discussions on the latest approaches used in the spectral cytometry field. Beginning with a brief history of spectral cytometry development, this book continues with a section addressing new protocols in different areas of imaging cytometry based on the unique technology of Imagestream and also introduces FlowCam – cytometer with capabilities of analyzing phytoplankton and zooplankton. Written for the highly successful Methods in Molecular Biology series, chapters include brief introductions to their respective topics, complete lists of the materials and reagents necessary, and reproducible laboratory protocols with tips on troubleshooting and recommendations.Cutting-edge and thorough, Spectral and Imaging Flow Cytometry: Methods and Protocols, Second Edition is a valuable resources for beginners and professionals interested in learning more about this developing field. Chapters 1, 2, and 5 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Spectral and Shape Analysis in Medical Imaging
by Martin Reuter Christian Wachinger Hervé LombaertThis book constitutes the refereed post-conference proceedings of the First International Workshop on Spectral and Shape Analysis in Medical Imaging, SeSAMI 2016, held in conjunction with MICCAI 2016, in Athens, Greece, in October 2016. The 10 submitted full papers presented in this volume were carefully reviewed. The papers reflect the following topics: spectral methods; longitudinal methods; and shape methods.
Spectral, Photon Counting Computed Tomography: Technology and Applications (Devices, Circuits, and Systems)
by Krzysztof Iniewski Katsuyuki Taguchi Ira BlevisSpectral, Photon Counting Computed Tomography is a comprehensive cover of the latest developments in the most prevalent imaging modality (x-ray computed tomography (CT)) in its latest incarnation: Spectral, Dual-Energy, and Photon Counting CT. Disadvantages of the conventional single-energy technique used by CT technology are that different materials cannot be distinguished and that the noise is larger. To address these problems, a novel spectral CT concept has been proposed. Spectral Dual-Energy CT (DE-CT) acquires two sets of spectral data, and Spectral Photon Counting CT (PC-CT) detects energy of x-ray photons to reveal additional material information of objects by using novel energy-sensitive, photon-counting detectors. The K-edge imaging may be a gateway for functional or molecular CT. The book covers detectors and electronics, image reconstruction methods, image quality assessments, a simulation tool, nanoparticle contrast agents, and clinical applications for spectral CT.
Spectrally Resolved Detector Arrays for Multiplexed Biomedical Fluorescence Imaging (Springer Theses)
by Anna Siri LuthmanThis book describes the design, development, characterisation and application of two novel fluorescence imaging instruments based on spectrally resolved detector arrays (SRDAs). The simplest SRDA is the standard colour camera, which integrates a Bayer filter array of red, green and blue colour filters to replicate the colour sensing capability of the human eye. The SRDAs used in this book contain many more colours, ranging from 16 to over 100 colour channels. Using these compact, robust and low-cost detectors for biomedical applications opens new avenues of exploration that were not possible before, in particular, the use of spectral imaging in endoscopy. The work presented shows for the first time that not only can this new type of camera be used for fluorescence imaging, but also that it is able to resolve signals from up to 7 different dyes – a level of multiplexing not previously achieved in tissue with such compact and robust equipment. Furthermore, it reports the application of a bimodal endoscope performing both reflectance and fluorescence imaging using these cameras in an ex vivo pig oesophagus model.
Spectrophotometric Determination of Palladium & Platinum: Methods & Reagents
by Ajay Kumar GoswamiThis versatile resource consolidates available methods for the spectrophotometric determination of palladium and platinum and serves as a practical ready-to-use guide for those researching palladium and platinum and for those working in the field of medicinal metal complexes of the two metals. The beauty of spectrophotometric methods lies in their simplicity, convenience, and easy operability, not to mention their cost-effectiveness. They can be automated easily and are thus the most affordable methods for the below reasons: Address analysts from all areas of industry, research labs and postgraduate students of analytical or medicinal chemistry as well as material science Detail all recently developed methods for palladium and platinum determination using spectrophotometry in a single source. Organized so that anyone interested in a particular method using a specific reagent can go directly to those details Facilitates the development of better methods for specific conditions of a sample
Spectroscopic Ellipsometry for Photovoltaics: Volume 1: Fundamental Principles and Solar Cell Characterization (Springer Series in Optical Sciences #212)
by Hiroyuki Fujiwara Robert W. CollinsThis book provides a basic understanding of spectroscopic ellipsometry, with a focus on characterization methods of a broad range of solar cell materials/devices, from traditional solar cell materials (Si, CuInGaSe2, and CdTe) to more advanced emerging materials (Cu2ZnSnSe4, organics, and hybrid perovskites), fulfilling a critical need in the photovoltaic community.The book describes optical constants of a variety of semiconductor light absorbers, transparent conductive oxides and metals that are vital for the interpretation of solar cell characteristics and device simulations. It is divided into four parts: fundamental principles of ellipsometry; characterization of solar cell materials/structures; ellipsometry applications including optical simulations of solar cell devices and online monitoring of film processing; and the optical constants of solar cell component layers.