Ebook: Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2

The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative–wave systems. This theory has been called the theory of hi- archical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic c- cepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a - sis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this descr- tion. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hier- chical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical– numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory.

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This monograph consists of two volumes and provides a unified comprehensive presentation of a new hierarchical paradigm and discussions of various applications of hierarchical methods for nonlinear electrodynamic problems.
Volume 2 is the first book in which a hierarchical treatment of Undulative Electrodynamic Systems is given and in which such systems like EH-accelerators, EH-formers, EH-coolers, the klystron and multi-harmonic Two-Stream Superheterodyne Free Electron Lasers (TSFELs) are described and analysed.

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This monograph consists of two volumes and provides a unified comprehensive presentation of a new hierarchical paradigm and discussions of various applications of hierarchical methods for nonlinear electrodynamic problems.
Volume 2 is the first book in which a hierarchical treatment of Undulative Electrodynamic Systems is given and in which such systems like EH-accelerators, EH-formers, EH-coolers, the klystron and multi-harmonic Two-Stream Superheterodyne Free Electron Lasers (TSFELs) are described and analysed.

Content:
Front Matter....Pages i-xvii
Hierarchical Theory of Undulative Induction Accelerators (Eh-Accelerators)....Pages 1-88
Free Electron Lasers as a Classical Electron Device with Long-Time Interaction....Pages 89-122
Hierarchical Single-Particle Theory of Free Electron Lasers....Pages 123-167
Hierarchical Self-Consistent Theory of Free Electron Lasers....Pages 169-290
Hierarchical Theory of Two-Stream Superheterodyne Free Electron Lasers....Pages 291-351
Back Matter....Pages 353-382

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This monograph consists of two volumes and provides a unified comprehensive presentation of a new hierarchical paradigm and discussions of various applications of hierarchical methods for nonlinear electrodynamic problems.
Volume 2 is the first book in which a hierarchical treatment of Undulative Electrodynamic Systems is given and in which such systems like EH-accelerators, EH-formers, EH-coolers, the klystron and multi-harmonic Two-Stream Superheterodyne Free Electron Lasers (TSFELs) are described and analysed.

Content:
Front Matter....Pages i-xvii
Hierarchical Theory of Undulative Induction Accelerators (Eh-Accelerators)....Pages 1-88
Free Electron Lasers as a Classical Electron Device with Long-Time Interaction....Pages 89-122
Hierarchical Single-Particle Theory of Free Electron Lasers....Pages 123-167
Hierarchical Self-Consistent Theory of Free Electron Lasers....Pages 169-290
Hierarchical Theory of Two-Stream Superheterodyne Free Electron Lasers....Pages 291-351
Back Matter....Pages 353-382
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