This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.
Contents:Electron Beam OpticsSynchrotron Radiation: A Short DescriptionSynchrotron Radiation: Emission in Undulator MagnetsAccelerators with Radiative DumpingFree Electron Laser: An IntroductionFEL Pendulum EquationUndulator FEL DynamicsFEL Integral EquationMiscellaneous Considerations on the FEL Gain and the High-Gain LimitA Qualitative Description of Storage-Ring FEL Dynamics and Longitudinal Mode Coupling Readership: Laser physicists. keywords:Free Electron Laser;Laser;Linac;Microtron;Storage Ring;Synchrotron Radiation;Undulators;Wigglers;Bending Magnets;Coherent Radiation Sources;Beam Optics;Colson Equation;Electron Beam Transport;FEL Pendulum Equation;Gain Curve;High Gain Regime;Saturation;Small Gain Regime;Transport Channel;Magnetic Undulator
This is a book about Mathematics but not a book of Mathematics. It is an attempt, between the serious and facetious, of conveying the idea that a mathematical thought is the result of different experiences, geographical and social factors. Even though it is not clear when Mathematics had started, it is evident that it had been used at an early stage of human history and by ancient Babylonians and Egyptians who have already developed a sophisticated corpus of mathematical items, which were the workhorse tools in engineering, navigation, trades and astronomy. The book sweeps across the mathematical minds of the Greek and Arab traditions, concepts by Assyro-Babylonians, and ancient Indian Vedic culture. The mathematical mind has modeled the evolution of societies and has been modeled by it. It is now in the midst of a great revolution and it is not clear where it will bring us. The current new epoch needs new mathematical tools and, above this, a new way of looking at Mathematics. This book tells the tale of what went on and what might go on.
This book describes the basic properties of charged beam transport and the theory of accelerators with radiative damping. The characteristics of the third generation synchrotron radiation sources are analyzed and compared to those of the first and second generations. This is followed by the conceptual and technological problems associated with the discovery of the fourth generation sources. Within this framework, the role played by free electron laser devices is discussed and relevant theoretical and technological aspects of storage-ring and Linac-based sources are analyzed.
Organometallic Luminescence: A Case Study of Alq3, an OLED Reference Material contains many discoveries on Alq3, an important organometallic material to the optoelectronics community that includes insights that can be applied to other organic compounds. The book contains groundbreaking research from the author's own investigation into the Alq3 material that is based on years of experiments, the results of which initially escaped any logical explanation. The book describes a simple method based on photoluminescence to observe optical properties in Alq3, also covering the optical properties of absorption and long decay from theoretical and experimental perspectives. - Considers both theoretical and experimental measurements and an analysis of the optical properties of a key OLED reference material - Includes detailed experimental data and a large number of tables and figures - Describes and applies the photoluminescence method of considering the optical properties of Alq3 that can be applied to other optoelectronics materials
The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.The chapters are not organized through the mathematical study of specific problems in Physics, rather they are suggested by the formalism itself. For example, it is shown how the matrix formalism is useful to treat ray Optics, atomic systems evolution, QED, QCD and Feynman diagrams. The methods presented here are simple but rigorous. They allow a fairly substantive tool of analysis for a variety of topics and are useful for beginners as well as the more experienced researchers.
This book describes the basic properties of charged beam transport and the theory of accelerators with radiative damping. The characteristics of the third generation synchrotron radiation sources are analyzed and compared to those of the first and second generations. This is followed by the conceptual and technological problems associated with the discovery of the fourth generation sources. Within this framework, the role played by free electron laser devices is discussed and relevant theoretical and technological aspects of storage-ring and Linac-based sources are analyzed.
The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science.The chapters are not organized through the mathematical study of specific problems in Physics, rather they are suggested by the formalism itself. For example, it is shown how the matrix formalism is useful to treat ray Optics, atomic systems evolution, QED, QCD and Feynman diagrams. The methods presented here are simple but rigorous. They allow a fairly substantive tool of analysis for a variety of topics and are useful for beginners as well as the more experienced researchers.
This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.
Charged Beam Dynamics, Particle Accelerators and Free Electron Lasers summarises different topics in the field of accelerators and of Free Electron Laser (FEL) devices. It is intended as a reference manual for the different aspects of FEL devices, explaining how to design both a FEL device and the accelerator providing the driving beam. It covers both theoretical and experimental aspects, allowing researchers to attempt a first design of a FEL device in different operating conditions. It provides an analysis of what is already available, what is needed, and what the challenges are to determine new progress in this field. All chapters contain complements and exercises that are designed in such a way that the reader will gradually acquire self-confidence with the matter treated in the book.
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