| Preface |
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xix | |
| Acknowledgments |
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xxiii | |
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Part I Hierarchic Electrodynamics: Key Concepts, Ideas, and Investigation Methods |
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1 High-Current Free Electron Lasers as a Historical Relic of the Star Wars Epoch |
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5 | (52) |
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1.1 Star Wars Program from Today's Point of View |
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5 | (3) |
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1.2 Key Ideas and Potential Design Elements of the Star Wars Program |
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8 | (10) |
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1.2.1 What Is the Star Wars Program? |
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8 | (3) |
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1.2.2 Electromagnetic Systems of Weapons |
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11 | (1) |
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12 | (4) |
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16 | (1) |
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1.2.5 What Was the Star Wars Program? |
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16 | (2) |
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1.3 Femtosecond Laser Systems: Basis, Concepts, and Ideas |
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18 | (8) |
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1.3.1 Femtosecond EMPs: Physical Mechanisms of Propagation |
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18 | (2) |
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1.3.2 Femtosecond EMPs: Role of the Wave Dispersion |
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20 | (4) |
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1.3.3 Main Technological Problems of the Classic Femtosecond Weapon Systems |
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24 | (2) |
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1.4 CFEL Systems: Methods for Formation and Application of Electromagnetic Clusters |
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26 | (10) |
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1.4.1 Clusters of Electromagnetic Energy as a New Subject of Electrodynamics |
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26 | (3) |
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1.4.2 Harmonic Coherence Problem and Some Key Principles of Construction of the Cluster Weapons |
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29 | (2) |
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1.4.3 A New Star Wars System Based on CFEL: Is It Possible? |
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31 | (4) |
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1.4.4 Example of Multiharmonic FELs |
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35 | (1) |
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1.5 Other Exotic Methods of Formation of Super-Powerful EMPs |
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36 | (21) |
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1.5.1 History of the Problem |
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36 | (3) |
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1.5.2 Example of the Experimental Realization of a Resonator with a Moving Mirror Wall |
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39 | (2) |
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1.5.3 Evolution of the Electromagnetic Wave Frequency in the Process of Multiple Reflections |
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41 | (1) |
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1.5.4 Process of Pulse Energy Transformation |
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42 | (4) |
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1.5.5 Evolution of the EMP during Its Compression |
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46 | (2) |
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1.5.6 Discussion of Obtained Results |
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48 | (1) |
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1.5.7 Other Examples of Electromagnetic Guns Based on the Resonator with a Moving Wall |
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49 | (6) |
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55 | (2) |
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2 Elements of the Theory of Hierarchic Dynamic Systems |
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57 | (38) |
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2.1 Hierarchy and Hierarchic Dynamic Systems |
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57 | (7) |
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57 | (1) |
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2.1.2 Systems and Hierarchic Systems |
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58 | (2) |
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2.1.3 Complex Hierarchic Systems |
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60 | (1) |
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2.1.4 Purposefulness and Self-Organization in Cognitive Hierarchic Systems |
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61 | (1) |
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2.1.5 Structural Hierarchy |
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61 | (1) |
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62 | (2) |
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2.2 Fundamental Principles in Natural Hierarchic Systems |
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64 | (7) |
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2.2.1 General Hierarchic Principle |
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64 | (1) |
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2.2.2 Principle of Hierarchic Resemblance (Holographic Principle) |
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64 | (1) |
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2.2.3 Sequences of the Principle of Hierarchic Resemblance |
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65 | (1) |
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2.2.4 Method of Hierarchic Resemblance |
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66 | (1) |
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2.2.5 Principle of Information Compression |
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67 | (1) |
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2.2.6 Hierarchic Analog of the Second and Third Laws of Thermodynamics |
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68 | (1) |
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2.2.7 Physicalness Principle |
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69 | (1) |
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2.2.8 Principle of the Ability to Model |
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69 | (1) |
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2.2.9 Purposefulness Principle |
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70 | (1) |
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2.2.10 Two Approaches to the Theory of Hierarchic Dynamic Systems |
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70 | (1) |
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2.3 Postulates of the Theory of Hierarchic Systems |
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71 | (2) |
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2.3.1 Integrity Postulate |
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71 | (1) |
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72 | (1) |
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2.3.3 Complementarity Postulate |
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72 | (1) |
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72 | (1) |
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2.3.5 Uncertainty Postulate |
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73 | (1) |
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2.4 Hierarchic Trees and the Concept of the System God |
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73 | (8) |
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73 | (3) |
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2.4.2 Concept of the System God |
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76 | (1) |
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2.4.3 Hierarchic Tree of Our Universe |
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77 | (1) |
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2.4.4 Concept of the Hierarchic Besom |
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78 | (3) |
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2.5 Hierarchic Description: Basic Ideas and Approaches |
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81 | (14) |
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2.5.1 Hierarchic Level as an Information-Diagnostic-Operation System |
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82 | (1) |
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2.5.2 Hierarchic Principles and the Mathematical Formulation of the Hierarchic Problem |
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83 | (2) |
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2.5.3 Hierarchic Analog of the Concept of Short-Range Action |
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85 | (2) |
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2.5.4 Compression and Decompression Operators |
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87 | (1) |
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2.5.5 Main and Partial Competence Levels |
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88 | (1) |
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2.5.6 Some Philosophical Aspects of the Theory of Hierarchic Dynamic Systems |
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89 | (1) |
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2.5.7 Main Idea of the Hierarchic Methods |
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90 | (2) |
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92 | (3) |
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3 Hierarchic Oscillations |
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95 | (52) |
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3.1 Oscillations as a Universal Physical Phenomenon |
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96 | (19) |
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3.1.1 General Definitions and Classification: Free Linear Oscillations |
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96 | (1) |
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3.1.2 Conditionally Periodic Oscillations: Concept of Slowly Varying Amplitudes |
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97 | (2) |
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3.1.3 Stimulated (Forced) Oscillations: Resonance |
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99 | (3) |
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3.1.4 Nonlinear Oscillations |
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102 | (3) |
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3.1.5 Multiharmonic Nonlinear Oscillations |
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105 | (2) |
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3.1.6 Rotating and Oscillation Phases |
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107 | (1) |
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3.1.7 Hidden and Explicit Phases |
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108 | (1) |
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109 | (1) |
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3.1.9 Resonances at Harmonics |
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110 | (1) |
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3.1.10 Slow and Fast Combination Phases: Resonances |
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111 | (1) |
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3.1.11 Hierarchy of Resonances |
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112 | (1) |
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3.1.12 Slowly Varying Amplitudes and Initial Phases: Complex Amplitudes |
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113 | (2) |
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3.2 Hierarchic Oscillations and Hierarchic Trees |
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115 | (13) |
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3.2.1 Hierarchic Series and the Hierarchic Trees |
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115 | (1) |
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3.2.2 Pairwise Main Resonances: Simplest Version |
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116 | (1) |
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3.2.3 Pairwise Main Resonances: Bounded Resonances |
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116 | (2) |
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3.2.4 Pairwise Main Resonances: Case of Two Slow Phases |
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118 | (4) |
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3.2.5 Multiple Resonances |
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122 | (2) |
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3.2.6 Resonances at Harmonics |
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124 | (2) |
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3.2.7 Our Universe as an Oscillation-Resonant Hierarchic System |
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126 | (2) |
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3.3 Relativistic Electron Beam without the Proper Magnetic Field as a Hierarchic Oscillation System |
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128 | (10) |
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129 | (2) |
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131 | (2) |
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3.3.3 Hierarchic Standard System |
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133 | (2) |
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3.3.4 Model with Two Rotation Phases |
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135 | (3) |
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3.4 Relativistic Electron Beam with the Proper Magnetic Field as a Hierarchic Oscillation System |
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138 | (9) |
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3.4.1 Description of the Model |
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139 | (2) |
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3.4.2 Solutions for the Fields and the Velocities |
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141 | (1) |
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3.4.3 Separation of the Fast Phase |
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142 | (1) |
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143 | (1) |
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144 | (3) |
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147 | (36) |
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147 | (6) |
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147 | (1) |
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4.1.2 Phase and Group Wave Velocities |
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148 | (2) |
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150 | (1) |
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4.1.4 Transverse and Longitudinal Waves |
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151 | (1) |
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4.1.5 Surface and Volumetric Waves Dispersion |
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151 | (1) |
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4.1.6 Waves with Negative, Zero, and Positive Energy |
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152 | (1) |
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4.2 Electron Beam as a Hierarchic Wave System |
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153 | (17) |
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153 | (1) |
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4.2.2 Proper and Stimulated (Induced or Forced) Electron Waves |
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154 | (4) |
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4.2.3 Parametric Wave Resonance |
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158 | (1) |
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4.2.4 Slowly Varying Complex Amplitudes: Raman and Compton Interaction Modes |
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159 | (2) |
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4.2.5 SCWs in a Limited Electron Beam |
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161 | (2) |
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4.2.6 Beam Waves of Other Types |
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163 | (2) |
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4.2.7 Again: Parametric Wave Resonance |
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165 | (3) |
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4.2.8 Superheterodyne Amplification Effect in FEL |
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168 | (2) |
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4.3 Elementary Mechanisms of Wave Amplification in FELs |
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170 | (13) |
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4.3.1 Longitudinal Grouping Mechanism in TWT |
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170 | (2) |
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4.3.2 Longitudinal Grouping Mechanism in FEL |
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172 | (4) |
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4.3.3 Elementary Mechanism of Longitudinal Electron Wave Amplification and Transverse Grouping |
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176 | (2) |
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4.3.4 Elementary Mechanism of the Signal Wave Amplification and the Energy Transfer |
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178 | (2) |
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180 | (3) |
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183 | (28) |
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5.1 Decompression and Compression Operators: General Case of Lumped Systems |
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183 | (6) |
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5.1.1 Decompression Operators |
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184 | (3) |
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5.1.2 Compression Operators |
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187 | (2) |
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5.2 Distributed Hierarchic Systems |
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189 | (8) |
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5.2.1 Stochastic Hierarchic Distributed Systems |
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189 | (2) |
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5.2.2 Decompression Operator in the General Case of Hierarchic Wave Problems |
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191 | (2) |
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5.2.3 Some Particular Cases of the Hierarchic Problems |
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193 | (2) |
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5.2.4 Decompression Operator in the Form of a Krylov-Bogolyubov Substitution |
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195 | (1) |
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196 | (1) |
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5.3 Decompression Operator in the Case of the van der Pol Method |
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197 | (4) |
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5.3.1 A Few Introductory Words |
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197 | (1) |
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5.3.2 van der Pol Variables |
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198 | (1) |
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5.3.3 Truncated Equations and Their Hierarchic Sense |
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199 | (2) |
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5.4 Decompression and Compression Operators in the Case of the Averaging Methods |
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201 | (4) |
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5.4.1 Bogolyubov's Standard System |
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202 | (2) |
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5.4.2 Compression Operator and the Problem of Secular Terms |
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204 | (1) |
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5.5 Decompression Operator in the Case of Systems with Slow and Fast Variables |
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205 | (6) |
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5.5.1 General Case of Systems with Slow and Fast Variables |
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205 | (2) |
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5.5.2 Two-Level Systems with Fast Rotating Phases |
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207 | (1) |
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208 | (3) |
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6 Hierarchic Systems with Fast Rotating Phases |
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211 | (42) |
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211 | (7) |
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6.1.1 Formulation of the Hierarchic Oscillation Problem |
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211 | (3) |
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6.1.2 Oscillation Phases and Resonances |
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214 | (1) |
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6.1.3 Hierarchic Transformations |
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215 | (3) |
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6.2 Decompression Operator in the Simplest Case of One Scalar Phase |
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218 | (10) |
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6.2.1 Formulation of the Problem |
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218 | (1) |
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6.2.2 Compression and Decompression Operators |
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219 | (3) |
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6.2.3 Accuracy of the Approximate Solutions |
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222 | (3) |
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6.2.4 Case of Successive Approximations |
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225 | (2) |
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6.2.5 Case of Fourier Transformation |
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227 | (1) |
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6.3 Case of Two Fast Rotating Scalar Phases |
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228 | (8) |
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6.3.1 Formulation of the Problem |
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228 | (1) |
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229 | (3) |
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232 | (4) |
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6.4 Case of Many Rotating Scalar Phases |
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236 | (3) |
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6.4.1 Formulation of the Problem |
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236 | (1) |
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6.4.2 Compression and Decompression Operators |
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237 | (2) |
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6.5 Method of Averaged Characteristics |
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239 | (8) |
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6.5.1 Some General Concepts and Definitions |
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239 | (1) |
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6.5.2 Concept of the Standard Form |
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240 | (1) |
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6.5.3 General Scheme of the Method |
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241 | (6) |
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6.6 One Example of the Application of the Method of Averaged Characteristics |
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247 | (6) |
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247 | (1) |
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247 | (1) |
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6.6.3 Passage to the First Hierarchic Level |
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248 | (2) |
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6.6.4 Reverse Transformations |
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250 | (1) |
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251 | (2) |
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7 Electron Oscillations in FEL-Like Electronic Systems |
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253 | (56) |
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7.1 Formulation of the Problem |
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253 | (9) |
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7.1.1 Electron Motion in the Field of Electromagnetic Waves and Magnetic and Electrostatic Fields |
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253 | (4) |
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7.1.2 Reducing the Initial Equations to the Hierarchic Standard Form |
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257 | (3) |
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7.1.3 Classification of the Models |
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260 | (2) |
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262 | (7) |
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7.2.1 Model and the General Hierarchic Tree |
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262 | (1) |
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7.2.2 Case of the Main Cyclotron Resonance |
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263 | (4) |
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7.2.3 Case of the Fractional Cyclotron Resonance |
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267 | (2) |
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7.3 Parametric Resonances: General Case |
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269 | (9) |
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7.3.1 A Few Words about the Parametrical Resonances |
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269 | (1) |
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7.3.2 Model and Formulation of the Problem |
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270 | (2) |
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7.3.3 Formation of the Combination Phases: The General Case |
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272 | (1) |
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7.3.4 Example of Three Oscillation Phases |
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273 | (2) |
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7.3.5 Separation of the Resonant Combination Phases |
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275 | (3) |
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7.4 Case of Two Electromagnetic Waves |
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278 | (8) |
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7.4.1 Model and Hierarchic Tree |
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278 | (1) |
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7.4.2 Equations of the First Hierarchic Level |
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278 | (3) |
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7.4.3 Model with the Magnetic Undulator |
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281 | (1) |
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7.4.4 Dimensionless Variables |
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282 | (2) |
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7.4.5 Isochronous Model with the Optimal Electrostatic Support |
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284 | (2) |
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7.4.6 Method of Optimal Variation of the Retardation Factor |
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286 | (1) |
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7.5 Bounded (Coupled) Parametric Resonance in the Field of Three Electromagnetic Waves |
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286 | (3) |
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7.5.1 Model and the Hierarchic Trees |
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286 | (2) |
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7.5.2 Truncated Equations |
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288 | (1) |
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7.6 Model with Pumping by the Crossed Magnetic and Electric Undulation Fields |
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289 | (20) |
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7.6.1 FEL Pumping with Crossed Magnetic and Electric Undulation Fields |
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289 | (1) |
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7.6.2 Model and Formulation of the Problem |
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290 | (2) |
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7.6.3 Parametric Resonance |
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292 | (2) |
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7.6.4 Coupled Parametric Cyclotron Resonance: The First Approximation |
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294 | (1) |
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7.6.5 Coupled Parametric Cyclotron Resonance: The Second Hierarchic Level |
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294 | (6) |
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7.6.6 Isochronous FEL Model with the EH-Pumping |
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300 | (1) |
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7.6.7 Single-Particle Numerical Analysis |
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301 | (1) |
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7.6.8 Some Qualitative Peculiarities of the Multiparticle Dynamics |
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301 | (3) |
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7.6.9 Example of Quantitative Analysis of the Multiparticle EH-Model |
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304 | (2) |
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306 | (3) |
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8 Hierarchic Oscillations and Waves: The Foundation of the World? |
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309 | (48) |
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8.1 Tree of Life: The Ancient Cosmogonic Concept and Method of Investigation |
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309 | (6) |
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8.1.1 A Few Words of Introduction |
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309 | (1) |
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310 | (2) |
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8.1.3 Evolution Process in Terms of the Tree of Life |
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312 | (1) |
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8.1.4 Metric of the Tree of Life |
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313 | (1) |
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8.1.5 Manifested and Hidden Worlds |
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314 | (1) |
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8.1.6 Tree of Life as a Subject and as a Method of Investigation |
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314 | (1) |
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8.2 Hierarchy, Oscillations, Modern Physics, and the Tree of Life |
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315 | (7) |
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8.2.1 Seven Levels of Hierarchy of the Material Universe |
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315 | (1) |
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8.2.2 Oscillation-Wave Nature of the Material Universe |
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316 | (2) |
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8.2.3 Complete Dimensionality and Information Properties of the Universe |
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318 | (2) |
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8.2.4 Our Universe as a Multiresonant Oscillation-Wave Hierarchic System |
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320 | (1) |
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8.2.5 About Modern Physics and Its Theories of Everything |
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321 | (1) |
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8.3 Evolution of the Universe in Terms of the Tree of Life Doctrine |
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322 | (12) |
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8.3.1 Hypothesis about the Existence of Subtypes of the Fundamental Interactions |
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322 | (2) |
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8.3.2 Metric of the Universe Space: The Universe Zero Hierarchic Level |
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324 | (1) |
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8.3.3 First and Second Universe Hierarchic Levels |
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325 | (1) |
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8.3.4 Third Hierarchic Level and the Modern State of the Universe's Evolution |
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326 | (1) |
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8.3.5 Five Subtypes of Gravitational Interaction: Can This Be Real? |
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327 | (1) |
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8.3.6 "The King Is Dead, Long Live the King!" |
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328 | (2) |
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8.3.7 Once Again about the Problem of the End of the Universe |
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330 | (1) |
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8.3.8 The External World: What Does It Look Like? |
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331 | (2) |
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8.3.9 The Living Superuniverse |
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333 | (1) |
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8.4 Hierarchic Cycles (Oscillations) in Earth Systems |
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334 | (8) |
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8.4.1 A Few Words of Introduction |
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334 | (1) |
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8.4.2 Ancient Indian Hierarchic Cycles |
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335 | (3) |
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8.4.3 Ancient Mesoamerican Hierarchic Cycles |
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338 | (1) |
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8.4.4 Other Ancient Hierarchic Cycles |
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339 | (1) |
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8.4.5 Chmykhov's Theory of Historical Cycles |
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340 | (2) |
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8.5 Integrity of the Surrounding World as a Totality of Seven-Level Hierarchic Besoms |
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342 | (9) |
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8.5.1 Once More about the Earth and the Universe as Hierarchic Besoms |
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342 | (2) |
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8.5.2 Vernardsky's Doctrine of the Earth Biosphere |
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344 | (1) |
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8.5.3 Gumiliov's Theory of Ethnogenesis |
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345 | (1) |
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8.5.4 Hierarchic Resemblance in Ethnogenetics |
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346 | (1) |
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8.5.5 Concept of the Living Universe |
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347 | (1) |
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8.5.6 Daat as an Information Aspect of God |
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348 | (1) |
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8.5.7 Angels, Archangels, Spirits, and Others as Physical Subjects: Why Shouldn't They Exist? |
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349 | (1) |
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8.5.8 Vikramsingh's Living Space Clouds |
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350 | (1) |
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8.5.9 Planetary, Star, Galaxy, and All-Universe Noospheres |
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350 | (1) |
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8.5.10 Other Civilizations: Can They Really Exist? |
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351 | (1) |
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8.6 Instead of a Conclusion |
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351 | (6) |
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353 | (4) |
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Part II High-Current Free Electron Lasers |
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9 Free Electron Lasers for the Cluster Systems |
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357 | (74) |
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9.1 Parametrical Free Electron Lasers: Most General Information |
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358 | (14) |
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358 | (1) |
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9.1.2 Basic FEL Physical Mechanisms: Kapitza-Dirac and Doppler Effects |
|
|
359 | (3) |
|
9.1.3 Is the Pantell's Device the First True FEL? |
|
|
362 | (3) |
|
9.1.4 FEL Is a Classical Device |
|
|
365 | (2) |
|
9.1.5 Linear Quasiclassical Mechanism of Amplification in FEL |
|
|
367 | (2) |
|
9.1.6 First Designs of the Free Electron Lasers |
|
|
369 | (3) |
|
9.2 Two-Stream Superheterodyne Free Electron Lasers: History and Typical Design Schemes |
|
|
372 | (14) |
|
9.2.1 History of the Two-Stream Problem |
|
|
372 | (3) |
|
|
|
375 | (1) |
|
9.2.3 Short History of the SFEL |
|
|
376 | (2) |
|
9.2.4 Examples of the Design Schemes of the Monochromatic TSFEL |
|
|
378 | (2) |
|
9.2.5 Theoretical Models One-Sectional and Klystron TSFEL |
|
|
380 | (5) |
|
9.2.6 Example of TSFEL with Multistage Transformation Up of Signal Frequency |
|
|
385 | (1) |
|
9.3 Cluster Klystron SFEL: The Main Design Schemes and Operation Principles |
|
|
386 | (8) |
|
9.3.1 General Scheme of the Cluster Klystron SFEL |
|
|
386 | (3) |
|
|
|
389 | (1) |
|
|
|
390 | (1) |
|
9.3.4 Pumping Systems for the Terminal Sections |
|
|
391 | (3) |
|
9.4 Linear High-Current Induction Accelerators |
|
|
394 | (10) |
|
9.4.1 Classification of Multichannel High-Current Induction Accelerators |
|
|
395 | (1) |
|
9.4.2 Linear Induction Accelerators as a Technological Basis of the MHIAC |
|
|
395 | (1) |
|
|
|
396 | (4) |
|
9.4.4 Acceleration Sections |
|
|
400 | (1) |
|
|
|
401 | (1) |
|
9.4.6 Traditional Design Schemes |
|
|
402 | (2) |
|
9.5 Undulation High-Current Induction Accelerators |
|
|
404 | (27) |
|
9.5.1 Key Design Elements |
|
|
404 | (4) |
|
9.5.2 Concept of Undulation Accelerators |
|
|
408 | (3) |
|
9.5.3 Multichannel Concept |
|
|
411 | (1) |
|
9.5.4 Multichannel Acceleration Sections |
|
|
412 | (2) |
|
9.5.5 Multichannel Injectors |
|
|
414 | (3) |
|
9.5.6 One-Channel Undulation Accelerators |
|
|
417 | (2) |
|
9.5.7 Multichannel Undulation Accelerators |
|
|
419 | (4) |
|
9.5.8 Systems on the Basis of Acceleration Blocks with External Channels |
|
|
423 | (1) |
|
9.5.9 Multichannel Systems on the Basis of Acceleration Blocks with External and Internal Channels |
|
|
424 | (1) |
|
|
|
425 | (1) |
|
|
|
426 | (5) |
|
10 General Description of the FEL Models |
|
|
431 | (26) |
|
|
|
431 | (5) |
|
10.1.1 About "Precise" and "Rough" Theoretical Models |
|
|
431 | (1) |
|
10.1.2 Rough Model of a Wide Electron Beam |
|
|
432 | (2) |
|
10.1.3 Isochronous Models |
|
|
434 | (1) |
|
|
|
435 | (1) |
|
10.2 Formulation of the General FEL Problem |
|
|
436 | (12) |
|
10.2.1 Equations for the Electromagnetic Field |
|
|
436 | (1) |
|
10.2.2 Beam Current and Space Charge Densities |
|
|
437 | (1) |
|
|
|
437 | (3) |
|
10.2.4 Quasihydrodynamic Equation |
|
|
440 | (2) |
|
10.2.5 Fields and Resonances |
|
|
442 | (1) |
|
10.2.6 Reduction of the Maxwell Equation to the Standard Form |
|
|
443 | (3) |
|
10.2.7 Free Electron Laser as a Hierarchic Oscillation System |
|
|
446 | (2) |
|
10.3 Method of Simulating the FEL Pumping Fields |
|
|
448 | (9) |
|
10.3.1 Modeling the Pumping System Using the Method of Simulated Magnetodielectric |
|
|
448 | (5) |
|
10.3.2 Types of Modeled Pumping Fields |
|
|
453 | (2) |
|
|
|
455 | (2) |
|
11 Parametrical (Ordinary) Free Electron Lasers: Weak-Signal Theory |
|
|
457 | (62) |
|
11.1 Self-Consistent Truncated Equations: Simplest Example |
|
|
459 | (7) |
|
11.1.1 Formulation of the Quadratic Nonlinear Problem |
|
|
459 | (1) |
|
|
|
460 | (1) |
|
11.1.3 Truncated Equations in the Complex Form |
|
|
460 | (4) |
|
11.1.4 Truncated Equations in Real Form |
|
|
464 | (1) |
|
|
|
464 | (1) |
|
11.1.6 Raman and Compton Modes |
|
|
465 | (1) |
|
11.2 Kinematical Analysis |
|
|
466 | (5) |
|
11.2.1 Model of Cold Electron Beam |
|
|
466 | (1) |
|
11.2.2 Anomalous Doppler Effect in the Dopplertron FEL |
|
|
467 | (1) |
|
11.2.3 Passing to the Case of H-Ubitron Pumping |
|
|
468 | (1) |
|
11.2.4 Dopplertron FEL Models with Retarded Pumping |
|
|
468 | (2) |
|
11.2.5 Model of Thermalized Electron Beam |
|
|
470 | (1) |
|
|
|
471 | (6) |
|
11.3.1 Approximation of the Given Pumping Field |
|
|
471 | (2) |
|
11.3.2 Self-Consistent Model: Integration Algorithm |
|
|
473 | (3) |
|
11.3.3 Self-Consistent Model: Passage to the Case of Given Pumping Field |
|
|
476 | (1) |
|
11.4 More General Dopplertron Model: Explosive Instability |
|
|
477 | (7) |
|
11.4.1 Truncated Equations |
|
|
478 | (1) |
|
11.4.2 Kinematical Analysis |
|
|
479 | (1) |
|
11.4.3 Amplitude Analysis |
|
|
480 | (1) |
|
11.4.4 Case of Degeneration on the Wave Frequencies |
|
|
481 | (2) |
|
11.4.5 Influence of Dissipation of SCWs |
|
|
483 | (1) |
|
11.5 Arbitrarily Polarized Dopplertron Model: Truncated Equations |
|
|
484 | (7) |
|
11.5.1 Formulation of the Problem |
|
|
484 | (1) |
|
11.5.2 Truncated Equations for Wave Amplitudes |
|
|
485 | (1) |
|
11.5.3 Solving the Kinetic Equation by Successive Approximations |
|
|
485 | (3) |
|
11.5.4 Again, Truncated Equations for Wave Amplitudes |
|
|
488 | (1) |
|
11.5.5 Stationary Version of the Truncated Equations for Wave Amplitudes |
|
|
489 | (1) |
|
|
|
490 | (1) |
|
11.6 Arbitrarily Polarized Kinetic Model: Approximation of Given Pumping Field in the Case of Raman Mode |
|
|
491 | (9) |
|
11.6.1 Types of Instabilities That Are Possible in the Dopplertron FEL |
|
|
491 | (1) |
|
11.6.2 Boundary Conditions |
|
|
492 | (1) |
|
|
|
492 | (1) |
|
11.6.4 Passage to the Arbitrarily Polarized H-Ubitron Model |
|
|
493 | (1) |
|
|
|
493 | (1) |
|
11.6.6 Polarization Effects |
|
|
494 | (2) |
|
11.6.7 Effects of Phase and Polarization Discrimination |
|
|
496 | (4) |
|
11.6.8 Role of the Pumping Wave Retardation in the Amplification Process |
|
|
500 | (1) |
|
11.7 Arbitrarily Polarized Kinetic Model: An Approximation of a Given Pumping Field in the Case of the Compton Mode |
|
|
500 | (4) |
|
11.7.1 Truncated Equations and Boundary Conditions |
|
|
500 | (1) |
|
|
|
501 | (1) |
|
11.7.3 Phase and Polarization Effects |
|
|
502 | (2) |
|
11.8 Arbitrarily Polarized Dopplertron Model: Explosive Instability in the Raman Model |
|
|
504 | (7) |
|
11.8.1 Truncated Equations in the Real Form |
|
|
504 | (1) |
|
11.8.2 Functions u(z) and R(z) and the Nonlinear Potential |
|
|
505 | (1) |
|
11.8.3 Analytical Solutions |
|
|
506 | (2) |
|
11.8.4 Polarization Effects |
|
|
508 | (3) |
|
11.9 Explosive Instability in the Linearly Polarized Compton Model |
|
|
511 | (1) |
|
11.10 Effect of Generation of the Transverse H-Ubitron Field |
|
|
512 | (7) |
|
11.10.1 Two Modes of the Effect of Generation of Additional Magnetic Field |
|
|
513 | (1) |
|
11.10.2 Wave-Nonlinear Mechanism |
|
|
514 | (1) |
|
11.10.3 Diamagnetic Mechanism |
|
|
515 | (1) |
|
|
|
516 | (3) |
|
12 Ordinary (Parametrical) Free Electron Lasers: Cubic-Nonlinear Theory |
|
|
519 | (34) |
|
12.1 Truncated Equations: Dopplertron Model |
|
|
520 | (11) |
|
12.1.1 Formulation of the Problem |
|
|
520 | (3) |
|
|
|
523 | (5) |
|
|
|
528 | (2) |
|
12.1.4 Raman and Compton Interaction Modes |
|
|
530 | (1) |
|
12.2 Truncated Equations: The H-Ubitron Model |
|
|
531 | (6) |
|
12.2.1 Formulation of the Problem |
|
|
531 | (2) |
|
|
|
533 | (3) |
|
12.2.3 Truncated Equations |
|
|
536 | (1) |
|
12.3 Effect of Nonlinear Generation of the Longitudinal Electric Field |
|
|
537 | (5) |
|
12.3.1 Physical Nature of the Generated Electric Field |
|
|
537 | (1) |
|
|
|
538 | (4) |
|
12.4 Isochronous Model of a Dopplertron Amplifier |
|
|
542 | (4) |
|
12.5 Generation of the Additional H-Ubitron Magnetic Field |
|
|
546 | (7) |
|
12.5.1 Adapted Truncated Equations |
|
|
546 | (3) |
|
12.5.2 Generation of the Improper H-Ubitron Fields |
|
|
549 | (1) |
|
12.5.3 Generation of the Proper H-Ubitron Fields |
|
|
550 | (1) |
|
|
|
551 | (2) |
|
13 Two-Stream Superheterodyne Free Electron Lasers |
|
|
553 | (54) |
|
13.1 Two-Stream Instability |
|
|
554 | (23) |
|
13.1.1 Initial Model and the Problem Statement |
|
|
554 | (1) |
|
13.1.2 Linear (Weak Signal) Approximation |
|
|
555 | (3) |
|
13.1.3 Other Key Properties of the Two-Stream Instability |
|
|
558 | (3) |
|
13.1.4 Harmonic Parametric Resonances: Resonant Conditions |
|
|
561 | (3) |
|
13.1.5 Most Interesting Types of Resonances |
|
|
564 | (2) |
|
13.1.6 Modes of Weak and Strong Interactions |
|
|
566 | (2) |
|
13.1.7 Truncated Equations |
|
|
568 | (1) |
|
13.1.8 Dynamics of SCW Amplitudes: Resonances Only between the Increasing Waves |
|
|
569 | (2) |
|
13.1.9 Dynamics of the SCW Amplitudes: Resonances of Different Types of Waves |
|
|
571 | (3) |
|
13.1.10 Dynamics of the SCW Spectra |
|
|
574 | (3) |
|
13.2 Ordinary Two-Stream Superheterodyne Free Electron Lasers |
|
|
577 | (22) |
|
|
|
577 | (1) |
|
13.2.2 Two-Stream Superheterodyne Free Electron Laser as a Hierarchic Wave-Oscillation System |
|
|
578 | (2) |
|
13.2.3 Formulation of the Problem |
|
|
580 | (1) |
|
13.2.4 Concept of the Space Charge Waves in the TSFEL Nonlinear Theory |
|
|
581 | (4) |
|
13.2.5 Truncated Equations in the Cubic Nonlinear Approximation |
|
|
585 | (2) |
|
|
|
587 | (2) |
|
|
|
589 | (1) |
|
13.2.8 Generated Longitudinal Electric Field |
|
|
590 | (1) |
|
13.2.9 Generated Magnetic Field |
|
|
591 | (2) |
|
13.2.10 Multiharmonic Processes |
|
|
593 | (2) |
|
13.2.11 Klystron TSFEL on the Basis of Pumping Systems of Different Types |
|
|
595 | (4) |
|
13.3 Project of the Simplest Femtosecond TSFEL Former |
|
|
599 | (8) |
|
|
|
599 | (2) |
|
13.3.2 General Arrangement |
|
|
601 | (2) |
|
13.3.3 Computer Simulation |
|
|
603 | (1) |
|
|
|
604 | (3) |
|
14 Plasma-Beam and Parametrical Electron-Wave Superheterodyne FEL |
|
|
607 | (44) |
|
14.1 Plasma-Beam Superheterodyne Free Electron Lasers: H-Ubitron Model |
|
|
610 | (10) |
|
|
|
610 | (1) |
|
14.1.2 Truncated Equations |
|
|
611 | (3) |
|
14.1.3 Quadratic-Nonlinear Approximation |
|
|
614 | (3) |
|
14.1.4 Cubic-Nonlinear Approximation |
|
|
617 | (3) |
|
14.2 Plasma-Beam Superheterodyne Free Electron Lasers: Dopplertron Model |
|
|
620 | (9) |
|
14.2.1 Model and the Problem Formulation |
|
|
620 | (2) |
|
14.2.2 Truncated Equations for the Complex Amplitudes |
|
|
622 | (3) |
|
|
|
625 | (4) |
|
14.3 Parametrical Three-Wave Instability in Two-Velocity High-Current Beams |
|
|
629 | (11) |
|
14.3.1 Model and the Problem Formulation |
|
|
629 | (2) |
|
14.3.2 Truncated Equations in the Quadratic Approximation |
|
|
631 | (1) |
|
14.3.3 Types of the Parametrical Resonances: Interactions of the Precritical Waves |
|
|
632 | (1) |
|
14.3.4 Types of the Parametrical Resonances: Interactions of the Overcritical Waves |
|
|
633 | (2) |
|
14.3.5 Types of the Parametrical Resonances: Interactions of the Precritical and Overcritical Waves |
|
|
635 | (3) |
|
|
|
638 | (1) |
|
14.3.7 Short Conclusions to the Section |
|
|
639 | (1) |
|
14.4 Parametrical Electron-Wave Two-Stream Superheterodyne Free Electron Lasers |
|
|
640 | (11) |
|
|
|
640 | (2) |
|
14.4.2 Formulation of the Problem |
|
|
642 | (5) |
|
|
|
647 | (2) |
|
|
|
649 | (2) |
| Index |
|
651 | |
Lisainfo e-raamatute kohta