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Controllable Nonlinear Waves in Graded-Index Waveguides (SpringerBriefs in Applied Sciences and Technology)
By Thokala Soloman Raju. 2024
This book highlights the dynamical behavior of self-similar waves in graded-index waveguides in (1+1)-dimensions and (2+1)-dimensions. The mechanism to control…
these optical similaritons by tailoring the tapering profile is presented. Various nonlinear waves like rogons, butterfly-shaped, and dromion-like waves and their controllable behavior are discussed in detail. The phenomenon of unbreakable Parity-Time symmetry of some of these waves has been delineated for different variety of solvable potentials. Compression of these exotic waves has been demonstrated for dispersion decreasing fiber and periodic management of dispersion and nonlinearity parameters. Competing cubic-quintic nonlinearity scenario and its potential implication on the dynamics of these similaritons has been described in detail. Symbiotic self-similar rogue waves have been discussed in (2+1)-dimensional garded-index waveguide. The book also includes numerical simulations that complement these analytical insights.This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that…
is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe–Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential.This updated and significantly expanded third edition features an extension of this framework to all dimensions, offering a now complete theory of self-adjoint Schrödinger operators within periodic potentials. Drawing from recent advancements in mathematical analysis, this edition delves even deeper into the intricacies of the subject. It explores the connections between the multidimensional Schrödinger operator, periodic potentials, and other fundamental areas of mathematical physics. The book's comprehensive approach equips both students and researchers with the tools to tackle complex problems and contribute to the ongoing exploration of quantum phenomena.This book is part of a 2 volume book series that provides current, state-of-the-art knowledge, fundamentals of electrochemistry, design strategies,…
and future challenges in carbon-based materials for electrochemical energy production and storage devices. The key goals for nanocarbons based electrochemical devices are to provide safe operation, sustainability, high energy and power density, long working life, and reduced cost. This book describes the fundamentals and working principles of nanocarbons for basic to advanced applications for energy storage devices such as metal-ion batteries, supercapacitors, and flexible energy storage devices. The book is written by leading experts in these areas making this a suitable textbook for students and providing new directions to researchers and scientists working in science and technology areas.Korteweg–de Vries Flows with General Initial Conditions (Mathematical Physics Studies)
By Shinichi Kotani. 2024
Large numbers of studies of the KdV equation have appeared since the pioneering paper by Gardner, Greene, Kruskal, and Miura…
in 1967. Most of those works have employed the inverse spectral method for 1D Schrödinger operators or an advanced Fourier analysis. Although algebraic approaches have been discovered by Hirota–Sato and Marchenko independently, those have not been fully investigated and analyzed. The present book offers a new approach to the study of the KdV equation, which treats decaying initial data and oscillating data in a unified manner. The author’s method is to represent the tau functions introduced by Hirota–Sato and developed by Segal–Wilson later in terms of the Weyl–Titchmarsh functions (WT functions, in short) for the underlying Schrödinger operators. The main result is stated by a class of WT functions satisfying some of the asymptotic behavior along a curve approaching the spectrum of the Schrödinger operators at +∞ in an order of -(n-1/2)for the nth KdV equation. This class contains many oscillating potentials (initial data) as well as decaying ones. Especially bounded smooth ergodic potentials are included, and under certain conditions on the potentials, the associated Schrödinger operators have dense point spectrum. This provides a mathematical foundation for the study of the soliton turbulence problem initiated by Zakharov, which was the author’s motivation for extending the class of initial data in this book. A large class of almost periodic potentials is also included in these ergodic potentials. P. Deift has conjectured that any solutions to the KdV equation starting from nearly periodic initial data are almost periodic in time. Therefore, our result yields a foundation for this conjecture. For the reader’s benefit, the author has included here (1) a basic knowledge of direct and inverse spectral problem for 1D Schrödinger operators, including the notion of the WT functions; (2)Sato’s Grassmann manifold method revised by Segal–Wilson; and (3) basic results of ergodic Schrödinger operators.On the Wave Nature of Matter: A New Approach to Reconciling Quantum Mechanics and Relativity
By Donald C. Chang. 2024
This book presents a new approach to understanding the foundation of quantum physics through the "quantum wave model" hypothesis. It…
addresses some of the key challenges in the current quantum theory, including the conflict between quantum mechanics and relativity, and offers a comprehensive solution to many of the existing mysteries in the field. By proposing that the vacuum is a dielectric medium and quantum particles are quantized excitation waves of the vacuum, the book provides a clear physical interpretation of wave-particle duality and explains the physical basis of energy, momentum, and mass.With topics ranging from the physical foundation of quantum mechanics to the derivation of the quantum wave equations and the resolution of the conflict between quantum physics and relativity, this book offers a comprehensive overview of the most pressing issues in the field. Written at a level accessible to undergraduate students and senior researcher scientists alike,this book offers a valuable resource for anyone seeking a deeper understanding of quantum mechanics and its fundamental role in shaping our understanding of the physical world.This book highlights recent advances in nonlinear dynamics and control with applications in mechanics and physics. The book includes selected…
articles from the 5th Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2023) and presents recent theoretical, experimental and numerical findings covering various topics in nonlinear structural dynamics and diagnosis. The main topics includes multiple scales dynamics, energy harvesting, dynamics of MEMS, NEMS and AFM, systems with time delay, quasi-periodic oscillations and synchronization, stochastic dynamics, analytical and semi-analytical methods, time series analysis, control and analysis of switching systems, structural health monitoring, nonlinear vibrations of structures, nonsmouth dynamics, nonlinear phenomena in discrete and continuum systems, dynamic modeling and fault diagnosis, constrained multi-catenary systems, conservative chaotic system, hysteretic structures, and nonlinear PDEs and their dynamics.Selected Studies in Geophysics, Tectonics and Petroleum Geosciences: Proceedings of the 3rd Conference of the Arabian Journal of Geosciences (CAJG-3) (Advances in Science, Technology & Innovation)
By Sami Khomsi, Mourad Bezzeghoud, Santanu Banerjee, Mehdi Eshagh, Ali Cemal Benim, Broder Merkel, Amjad Kallel, Sandeep Panda, Haroun Chenchouni, Stefan Grab, Maurizio Barbieri. 2024
This edited book is based on the best papers accepted for presentation during the 3rd Springer Conference of the Arabian…
Journal of Geosciences (CAJG-3). It is of interest to all researchers practicing geophysics/seismology, structural, and petroleum geology. It includes a set of research studies spanning a large spectrum of geological and geophysical topics with particular reference to Middle East, Mediterranean region, and Africa. It also presents a series of research methods that are nowadays in use for measuring, quantifying, and analyzing several geological domains. Papers cover new research studies on earthquake geodesy, seismotectonics, archeoseismology and active faulting, well logging methods, geodesy and exploration/theoretical geophysics, petroleum geochemistry, petroleum engineering, structural geology, basement architecture and potential data, tectonics and geodynamics, and thermicity, petroleum, and other georesources. The book follows a multidisciplinary approach which combined with the geodynamics of tectonic provinces and investigations of potential zones of natural resources (petroleum reservoirs) provides the basis for a more sustainability in the economic development.Handbook of Liquid Crystals—Volume I: Foundations and Fundamental Aspects
By Shri Singh. 2024
This expert and self-contained authored handbook provides comprehensive coverage of liquid crystals from the fundamental materials science, physics, and modeling…
through cutting-edge applications. Written by an author with over 40 years of active experience in this growing field, it offers an unprecedented self-contained treatment of this key research area.Liquid Crystals are a state of matter sharing properties that are usually associated with both solids and liquids. Their study belongs to wider field of soft condensed matter physics, an area growing in importance because of the new physics being discovered and the possibilities of various technological applications being developed. Liquid crystals continue to have a revolutionary technological impact and consistently pose new challenges of basic understanding. While the experimental side of liquid crystal research is very well developed, theoretical understanding has lagged, and this volume fills a gap in thepublished literature in terms of rigorous treatment of mathematical and computer modeling approaches.Volume I of this handbook deals with the physical foundations and fundamental aspects of liquid crystals, addressing their physical properties, measurement techniques, and various types. Overall, this handbook serves as the ultimate scholarly guide for researchers, scientists, and engineers seeking to unlock the full potential of liquid crystals. It offers a comprehensive understanding of these materials and their diverse applications, empowering readers to navigate the complex intricacies of liquid crystal science and technology.Dieses Buch bietet einen behutsamen Einstieg in die Tensoranalysis, in die Grundlagen der speziellen Relativitätstheorie und in die relativistische Formulierung…
der Elektrodynamik. Die Maxwell’schen Gleichungen im Vakuum und die kovariante Form der Maxwellgleichungen werden intensiv behandelt. Auch Dipole und die Abstrahlung elektromagnetischer Wellen bilden inhaltliche Schwerpunkte.Mathematisch präzise und durch ausführliche Rechnungen leicht verständlich, stellt das Buch eine Verbindung zwischen Elektrotechnik, Mathematik und Physik her. Für diesen Vertiefungsband ist ein Grundwissen der Elektrodynamik hilfreich, wie es im Band „Grundlagen der elektromagnetischen Feldtheorie — Maxwellgleichungen, Lösungsmethoden und Anwendungen“ des Autors oder vergleichbaren Lehrbüchern vermittelt wird.Übungsaufgaben mit ausführlichen Musterlösungen vertiefen den Stoff und helfen bei der Kontrolle des Lernerfolgs. Ein umfangreicher Tabellenteil am Ende des Buchs erlaubt die Nutzung alsNachschlagewerk.In der vorliegenden vierten Auflage wurden zahlreiche Themen überarbeitet, neue hinzugefügt sowie an vielen Stellen kleinere Ergänzungen des Textes vorgenommen, um die Verständlichkeit weiter zu erhöhen und die Darstellung zu vervollständigen.Wutz Handbuch Vakuumtechnik: Theorie Und Praxis
By Karl Jousten, Wolfgang Jitschin, Felix Sharipov, Rudolf Lachenmann, Alfons Jünemann, Uwe Friedrichsen, Erik Lippelt, Boris Kossek, Harald Grave, Klaus Galda, Frank Leiter, Christian Day, Norbert Müller, Robert Ellefson, Werner Große Bley, Markus Veldkamp, Uwe Meißner, Bernhard Schimunek. 2012
Dieses Standardwerk gibt dem Leser umfassend Auskunft über Theorie und Praxis der Vakuumtechnik. Eine große Anzahl von numerischen Beispielen sowie…
aussagekräftigen Abbildungen erläutert und visualisiert überzeugend die theoretischen Sachverhalte. In der aktuellen Auflage wurde im Kapitel 12 das Pulsrohrverfahren aufgenommen sowie die Abschnitte Kryokondensation und Kryotrapping aktualisiert. Das Kapitel Vakuumsysteme wurde um zwei Abschnitte Berechnung und Druckregelung ergänzt.Tunnel Fire Dynamics
By Haukur Ingason, Ying Zhen Li, Anders Lönnermark. 2024
This updated, second edition unveils the mystery of the tunnel fires, covering most of the issues in fire safety engineering…
in tunnels, clearly describes the phenomena related to tunnel fire safety, presents state-of-the-art research, and gives detailed solutions to these major issues. The book retains its chapters on fuel and ventilation control, combustion products, gas temperatures, heat fluxes, smoke stratification, visibility, tenability, design fire curves, heat release, fire suppression and detection, CFD modelling, and scaling techniques allowing readers to create their own fire safety plans for tunnels. It gives detailed solutions to the major issues in fire safety engineering in tunnels and provides example calculations. A new chapter on Alternative Fuel Vehicle (AFV) safety has been introduced as well as updated information related to AFVs in respective chapters.Emplacement Mechanisms of Nappes and Thrust Sheets (Petrology and Structural Geology #9)
By Olivier Merle. 1998
Nappes and overthrusts are the mosl representative geological structures in mountain chains. The issue of their emplacement mechanisms and of…
the driving force of these displacements is a major problem in tectonics which interests, for near to a century now and not without harsh controversies, a significant proportion of structural geologists and geoscientists who work in the field of rock mechanics. This book attempts to give a clear and didactic synthesis of the current knowledge of the concept of thrusting, principally by tackling two approaches, mechanics and kinematics, which have proposed some solutions to this problem. At first (Chapter I), the notions of thrusting are defined, with the most recent terminology and the most important geometric aspects. This introduction to the geometry of thrusts is logically followed by the presentation of their problem; the issue of the emplacement mechanisms (Chapter 2). Let us note in passing that the formulation of the concept and the presentation of its problem are associated historically, which justifies presenting them in the historical framework of this discovery before tackling the different solutions and mechanical hypotheses. These are detailed in Chapter 3 by following a chronological progression, and emphasising the divergences and oppositions between different models so as to cover them fully. The chapter on the kinematics (Chapter 4) then returns to the type of data which can be collected in the field, by clarifying the relationships between displacement and internal strain.Computational Physics: Problem Solving with Python
By Rubin H. Landau, Manuel J. Páez, Cristian C. Bordeianu. 2024
Computational Physics The classic in the field for more than 25 years, now with increased emphasis on data science and…
new chapters on quantum computing, machine learning (AI), and general relativity Computational physics combines physics, applied mathematics, and computer science in a cutting-edge multidisciplinary approach to solving realistic physical problems. It has become integral to modern physics research because of its capacity to bridge the gap between mathematical theory and real-world system behavior. Computational Physics provides the reader with the essential knowledge to understand computational tools and mathematical methods well enough to be successful. Its philosophy is rooted in “learning by doing”, assisted by many sample programs in the popular Python programming language. The first third of the book lays the fundamentals of scientific computing, including programming basics, stable algorithms for differentiation and integration, and matrix computing. The latter two-thirds of the textbook cover more advanced topics such linear and nonlinear differential equations, chaos and fractals, Fourier analysis, nonlinear dynamics, and finite difference and finite elements methods. A particular focus in on the applications of these methods for solving realistic physical problems. Readers of the fourth edition of Computational Physics will also find: An exceptionally broad range of topics, from simple matrix manipulations to intricate computations in nonlinear dynamicsA whole suite of supplementary material: Python programs, Jupyter notebooks and videos Computational Physics is ideal for students in physics, engineering, materials science, and any subjects drawing on applied physics.Introduction to Simulations of Semiconductor Lasers
By Marek Wartak. 2024
Simulations play an increasingly important role not only in scientific research but also in engineering developments. Introduction to Simulations of…
Semiconductor Lasers introduces senior undergraduates to the design of semiconductor lasers and their simulations. The book begins with explaining the physics and fundamental characteristics behind semiconductor lasers and their applications. It presumes little prior knowledge, such that only a familiarity with the basics of electromagnetism and quantum mechanics is required. The book transitions from textbook explanations, equations, and formulas to ready-to-run numeric codes that enable the visualization of concepts and simulation studies. Multiple chapters are supported by MATLAB code which can be accessed by the students. These are ready-to-run, but they can be modified to simulate other structures if desired. Providing a unified treatment of the fundamental principles and physics of semiconductors and semiconductor lasers, Introduction to Simulations of Semiconductor Lasers is an accessible, practical guide for advanced undergraduate students of Physics, particularly for courses in laser physics.Key Features: A unified treatment of fundamental principles Explanations of the fundamental physics of semiconductor Explanations of the operation of semiconductor lasers An historical overview of the subjectElectromagnetic Metamaterials and Metasurfaces: From Theory To Applications
By Long Li, Yan Shi, Tie Jun Cui. 2024
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.This two-volume set LNCS 14509-14510, constitutes the refereed proceedings of the First International Conference on Artificial Intelligence Security and Privacy,…
AIS&P 2023, held in Guangzhou, China, during December 3–5, 2023.The 40 regular papers and 23 workshop papers presented in this two-volume set were carefully reviewed and selected from 115 submissions.Topics of interest include, e.g., attacks and defence on AI systems; adversarial learning; privacy-preserving data mining; differential privacy; trustworthy AI; AI fairness; AI interpretability; cryptography for AI; security applications.This two-volume set LNCS 14509-14510, constitutes the refereed proceedings of the First International Conference on Artificial Intelligence Security and Privacy,…
AIS&P 2023, held in Guangzhou, China, during December 3–5, 2023.The 40 regular papers and 23 workshop papers presented in this two-volume set were carefully reviewed and selected from 115 submissions. Topics of interest include, e.g., attacks and defence on AI systems; adversarial learning; privacy-preserving data mining; differential privacy; trustworthy AI; AI fairness; AI interpretability; cryptography for AI; security applications.Photonic Integrated Phased Array Technology
By Tao Dong, Jingwen He, Yue Xu. 2024
This book primarily focuses on the authors’ research and practical achievements in the field of photonic integrated phased arrays in…
recent years. Firstly, a comprehensive introduction on the concept, operation principles, and research progress of photonic integrated phased arrays is introduced. Then, detailed explanations of the optical antenna and array design in photonic integrated phased arrays are given. Combined with design cases of silicon-based optical phased arrays with different scales, the design methods for achieving low sidelobes are deeply researched, and the test principle and design of photonic integrated phased arrays are elaborated. Finally, the design, implementation, and test of photonic integrated phased arrays are illustrated through a detailed case study on the development of a silicon-based optical phased array chip and verify its short-distance space optical communication based on the chip.This book is dedicated to integrating the theory, design, processing, and test cases of photonic integrated phased arrays, and it provides a valuable reference for researchers and designers in the field of optical phased array technology.Advanced Computational Applications of Geometric Algebra: First International Conference, ICACGA 2022, Denver, CO, USA, October 2-5, 2022, Proceedings (Lecture Notes in Computer Science #13771)
By David W. Silva, Eckhard Hitzer, Dietmar Hildenbrand. 2024
This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022,…
held in Denver, CO, USA, during October 2-5, 2022. The 18 full papers presented in this book together with 12 abstracts of invited talks were carefully reviewed and selected from 24 submissions. The papers are grouped in the following topical sections: geometric applications; computer science applications; technological applications; and applications to physics and mathematics.Coming of Age in the Milky Way
By Timothy Ferris. 2003
From the second-century celestial models of Ptolemy to modern-day research institutes and quantum theory, this classic book offers a breathtaking…
tour of astronomy and the brilliant, eccentric personalities who have shaped it. From the first time mankind had an inkling of the vast space that surrounds us, those who study the universe have had to struggle against political and religious preconceptions. They have included some of the most charismatic, courageous, and idiosyncratic thinkers of all time. In Coming of Age in the Milky Way, Timothy Ferris uses his unique blend of rigorous research and captivating narrative skill to draw us into the lives and minds of these extraordinary figures, creating a landmark work of scientific history.