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Electron-Stream Interaction with Plasmas

Cover Image Copyright Year: 1964
Author(s): Richard J. Briggs
Publisher: MIT Press
Content Type : Books & eBooks
Topics: General Topics for Engineers
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Abstract

This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work.

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      Front Matter

      Page(s): i - xi
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Half Title, Title, Acknowledgment, Foreword, Preface, Contents, Symbols View full abstract»

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      Introduction

      Page(s): 1 - 7
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Historical Review of the Problem, Assumptions and Mathematical Models View full abstract»

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      Criteria for Identifying Amplifying Waves and Absolute Instabilities

      Page(s): 8 - 46
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Statement of the Problem, Green's Function Formalism for the Response to a Localized Source, Proof of Criteria on Amplifying Waves and Absolute Instabilities, Propagation of Pulse Disturbances and Relations Between Temporal and Spatial Growth Rates of Convective Instabilities, Comments on the Application of the Criteria and Some Physical Interpretations, Discussion, Examples View full abstract»

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      Beam-Plasma Interactions in a One-Dimensional System

      Page(s): 47 - 83
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Longitudinal Interactions, Transverse Interactions View full abstract»

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      Interactions with a Cold Plasma in Systems of Finite Transverse Dimensions

      Page(s): 84 - 117
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Interactions in a Waveguide Filled with a Weak Beam and a Plasma, Thin-Beam Interactions, Interactions in an Infinite Magnetic Field View full abstract»

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      Interactions with Ions in a Hot-Electron Plasma

      Page(s): 118 - 138
      Copyright Year: 1964

      MIT Press eBook Chapters

      This chapter contains sections titled: Plasma Dispersion and Weak-Beam Interactions, Strong Interaction with Ions View full abstract»

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      Comparison with the Method of Fainberg, Kurilko, and Shapiro

      Page(s): 139 - 142
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      The Landau Contour and the Stability Criteria for a Hot Plasma

      Page(s): 143 - 147
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Derivation of One-Dimensional Dispersion Equation

      Page(s): 148 - 155
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Classification of Longitudinal Weak-Beam Instabilities

      Page(s): 156 - 157
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      An Instability Condition for Lossless Systems

      Page(s): 158 - 159
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Transverse Beam Waves

      Page(s): 160 - 161
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Quasi-Static Dispersion Equation

      Page(s): 162 - 164
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Absolute Instability of Space-Charge Waves

      Page(s): 165 - 167
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Monotonically Decreasing Character of the p2 vs. q2 Relation

      Page(s): 168 - 170
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Dispersion Equation for Resistive-Medium Amplification

      Page(s): 171
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      K Condition for an Absolute Instability

      Page(s): 172 - 174
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Glossary of Common Symbols

      Page(s): 175 - 177
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      References

      Page(s): 178 - 183
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»

    • Full text access may be available. Click article title to sign in or learn about subscription options.

      Index

      Page(s): 185 - 187
      Copyright Year: 1964

      MIT Press eBook Chapters

      This study considers the instabilities that result when an electron beam is injected into a plasma. A number of different models of the system are considered, and all instabilities are classified according to whether they are convective instabilities (amplifying waves) or nonconvective (absolute) instabilities. The study also analyzes the instabilities in unbounded beam-plasma systems and in systems of finite extent transverse to the electron stream and gives a detailed consideration of the possibility of a strong interaction with the ions in a hot-electron plasma. In addition, the author presents mathematical criteria for identifying absolute instabilities and amplifying waves. These criteria are based only on an analysis of the dispersion equation of the system and are not restricted to beam-plasma systems.Two things need to be said about this book: the chapter on absolute and convective instabilities makes an important contribution to the field. Second, it should be pointed out that the theoretical results are reduced to a form which make them readily available to an experimentalist. Plasma physicists and electronic engineers will be interested in this work. View full abstract»