Hierarchic Electrodynamics and Free Electron Lasers: Concepts, Calculations, and Practical Applications, 1st Edition (Paperback) book cover

Hierarchic Electrodynamics and Free Electron Lasers

Concepts, Calculations, and Practical Applications, 1st Edition

By Victor V. Kulish

CRC Press

697 pages | 251 B/W Illus.

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Hierarchic Electrodynamics and Free Electron Lasers: Concepts, Calculations, and Practical Applications presents intriguing new fundamental concepts in the phenomenon of hierarchical electrodynamics as a new direction in physics. Concentrating on the key theory of hierarchic oscillations and waves, this book focuses on the numerous applications of nonlinear theory in different types of high-current Free Electron Lasers (FEL), including their primary function in the calculation methods used to analyze various multi-resonant, multi-frequency nonlinear FEL models.

This is considered the first book to:

  • Completely and systematically describe the foundation of hierarchical electrodynamics as a new direction of physics
  • Fully represent the physics of high-current FEL—and associated models—from the hierarchic oscillation wave perspective
  • Cover the multi-harmonic nonlinear theory of new types of electronic devices, such as plasma-beam and two-stream FEL
  • Formulate and substantiate the concept of cluster femtosecond FEL
  • Analyze practical prospects for a new generation of a global "Star Wars" strategic defense systems

These subjects involve a wide range of disciplines. Using numerous real-world examples to illustrate information and concepts, the book offers a mathematical foundation to explore FEL applications as well as analyze hierarchic plasma-like electrodynamic systems and femto-second clusters of electromagnetic energy. Assembling fragmented concepts from existing literature, the author re-examines classic approaches in order to develop new insights and achieve scientific breakthroughs.


"The book makes a strong impression not only by the scheme of the material organization but also by the choice of this material. One can say that it is extraordinary—really there are no analogous books in the contemporary literature of physics."

—Peter O. Kondratenko, National Aviation University, Ukraine

Table of Contents

Part I: Hierarchical Electrodynamics: Key Concepts, Ideas, and Investigation Methods

High-Current Free Electron Lasers as a Historical Relic of the Star Wars Epoch

Star Wars Program from Today’s Point of View

Key Ideas and Potential Design Elements of the Star Wars Program

Femtosecond Laser Systems: Basis, Concepts, and Ideas

CFEL Systems: Methods for Formation and Application of Electromagnetic Clusters

Other Exotic Methods of Formation of Super-Powerful EMPs

Elements of the Theory of Hierarchic Dynamic Systems

Hierarchy and Hierarchic Dynamic Systems

Fundamental Principles in Natural Hierarchic Systems

Postulates of the Theory of Hierarchic Systems

Hierarchic Trees and the Concept of the System God

Hierarchic Description: Basic Ideas and Approaches

Hierarchic Oscillations

Oscillations as a Universal Physical Phenomenon

Hierarchic Oscillations and Hierarchic Trees

Relativistic Electron Beam without the Proper Magnetic Field as a Hierarchic Oscillation System

Relativistic Electron Beam with the Proper Magnetic Field as a Hierarchic Oscillation System

Hierarchic Waves


Electron Beam as a Hierarchic Wave System

Elementary Mechanisms of Wave Amplification in FELs

Hierarchic Description

Decompression and Compression Operators: General Case of Lumped Systems

Distributed Hierarchic Systems

Decompression Operator in the Case of the Van der Pol Method

Decompression and Compression Operators in the Case of the Averaging Methods

Decompression Operator in the Case of Systems with Slow and Fast Variables

Hierarchic Systems with Fast Rotating Phases

General Approach

Decompression Operator in the Simplest Case of One Scalar Phase

Case of Two Fast Rotating Scalar Phases

Case of Many Rotating Scalar Phases

Method of Averaged Characteristics

One Example of the Application of the Method of Averaged Characteristics

Electron Oscillations in FEL-Like Electronic Systems

Formulation of the Problem

Cyclotron Resonances

Parametric Resonances: General Case

Case of Two Electromagnetic Waves

Bounded (Coupled) Parametric Resonance in the Field of Three Electromagnetic Waves

Model with Pumping by the Crossed Magnetic and Electric Undulation Fields

Hierarchic Oscillations and Waves: The Foundation of the World?

Tree of Life: The Ancient Cosmogonic Concept and Method of Investigation

Hierarchy, Oscillations, Modern Physics, and the Tree of Life

Evolution of the Universe in Terms of the Tree of Life Doctrine

Hierarchic Cycles (Oscillations) in Earth Systems

Integrity of the Surrounding World as a Totality of Seven-Level Hierarchic Besoms

Instead of a Conclusion

Part II: High-Current Free Electron Lasers

Free Electron Lasers for the Cluster Systems

Parametrical Free Electron Lasers: Most General Information

Two-Stream Superheterodyne Free Electron Lasers: History and Typical Design Schemes

Cluster Klystron SFEL: The Main Design Schemes and Operation Principles

Linear High-Current Induction Accelerators

Undulation High-Current Induction Accelerators

General Description of the FEL Models

General FEL Model

Formulation of the General FEL Problem

Method of Simulating the FEL Pumping Fields

Parametrical (Ordinary) Free Electron Lasers: Weak-Signal Theory

Self-Consistent Truncated Equations: Simplest Example

Kinematical Analysis

Amplitude Analysis

More General Dopplertron Model: Explosive Instability

Arbitrarily Polarized Dopplertron Model: Truncated Equations

Arbitrarily Polarized Kinetic Model: Approximation of Given Pumping Field in the Case of Raman Mode

Arbitrarily Polarized Kinetic Model: An Approximation of a Given Pumping Field in the Case of the Compton Mode

Arbitrarily Polarized Dopplertron Model: Explosive Instability in the Raman Model

Explosive Instability in the Linearly Polarized Compton Model

Effect of Generation of the Transverse H-Ubitron Field

Ordinary (Parametrical) Free Electron Lasers: Cubic-Nonlinear Theory

Truncated Equations: Dopplertron Model

Truncated Equations: The H-Ubitron Model

Effect of Nonlinear Generation of the Longitudinal Electric Field

Isochronous Model of a Dopplertron Amplifier

Generation of the Additional H-Ubitron Magnetic Field

Two-Stream Superheterodyne Free Electron Lasers

Two-Stream Instability

Ordinary Two-Stream Superheterodyne Free Electron Lasers

Project of the Simplest Femtosecond TSFEL Former

Plasma-Beam and Parametrical Electron- Wave Superheterodyne FEL

Plasma-Beam Superheterodyne Free Electron Lasers: H-Ubitron Model

Plasma-Beam Superheterodyne Free Electron Lasers: Dopplertron Model

Parametrical Three-Wave Instability in Two- Velocity High-Current Beams

Parametrical Electron-Wave Two-Stream Superheterodyne Free Electron Lasers


About the Author

Victor V. Kulish is a Professor of Theoretical Physics at the National Aviation University, Ukraine.

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics