Electrodynamics of Conducting Dispersive Media

Chapter One

Principles of Electrodynamics of Media with Spatial Dispersion

1.1. Equations of Electromagnetic Fields

1.2. Tensor of Complex Dielectric Permittivity

1.3. Dispersion of Dielectric Permittivity

1.4. Energy of the Electromagnetic Fields in a Medium

1.5. Electromagnetic Waves in a Medium

1.6. Plane Monochromatic Waves in a Medium

1.8. Energy Loss of Fast Moving Electrons in the Medium

1.9. Electromagnetic Field Fluctuations

1.9.1. Correlation functions and general analysis

1.9.3. Casualty principle and generalization of Kramers-Kronig relations.

1.10. Electromagnetic Properties of Inhomogeneous Plasmas

1.10.1. Inhomogeneous media without spatial dispersion. Approximation of geometrical optics.

1.10.1.1. Field equation for an inhomogeneous medium without spatial dispersion

1.10.1.2. The method of geometrical optics and the WKB method

1.10.1.3. The Bohr-Sommerfeld quasi classical quantization rules

1.10.2. Approximation of geometrical optics for inhomogeneous media with spatial dispersion

1.10.2.1. Eikonal equation for inhomogeneous medium with spatial dispersion

1.10.2.2. Quantization rules

1.11. Problems 

Chapter Two

Isotropic Plasma

2.1. Kinetic Equation with Self-consistent Fields

2.2. Dielectric Permittivity of Collisionless Isotropic Plasma

2.3. Dielectric Permittivity and Electromagnetic Oscillations of Isotropic Collisionless Nonrelativistic Electron Plasma

2.4. Dielectric Permittivity and Electromagnetic Oscillations of Relativistic Collisionless Electron Plasma

2.5. Oscillations of Isotropic Electron-Ion Plasma

2.6. Hydrodynamics of Collisionless Plasma

2.7. Dielectric Permittivity of Plasma; Taking account of Particle Collisions

2.8. Boundary Problem of Fields in Plasma

2.9. Reflection and absorption of electromagnetic Waves in Semi-bounded Plasma

2.10. Linear Electromagnetic Phenomena in Bounded Plasmas

2.10.1. Surface electromagnetic waves in semi-bounded plasmas

2.10.1.1. Solution of the Vlasov equation for the semi-bounded isotropic plasma

2.10.1.2. Solution of field equations

2.10.1.3. Surface impedance

2.10.1.4. Dispersion equation for surface waves

2.10.1.6. Cherenkov damping of surface waves

2.10.1.7. Surface ion-acoustic waves

2.10.2. Surface waves on plasma layers

2.10.2.1. Potential surface waves on thin layers of non-dispersive media

2.10.2.2. Surface waves on thin layers of dispersive media   

2.11. Problems

Chapter Three

Anisotropic Plasma

3.1. Dielectric permittivity of collisionless plasma in a constant magnetic field

3.2. Electromagnetic Oscillations of Non-relativistic Plasma in a Constant Magnetic Field

3.4. Electron-Ion Plasma in the External Magnetic Field

3.5. Particle Collisions in Magneto-Active Plasma

3.6. Magnetohydrodynamics of Collisionless Plasma

3.7. Interaction of Straight Neutralized Beams of Charged Particles with Plasma

3.7.1. Interaction of a Straight Monoenergetic Electron Beam with Cold Plasma: (Cherenkov Instability)

3.7.2. Effect of Thermal Motion on the Cherenkov Instability

3.7.3. Current-Driven Instabilities in Plasma: Bunemann Instability

3.7.4. Current-Driven Instabilities in Plasma: Ion-Acoustic Instability

3.8. Dielectric Tensor of Weakly Inhomogeneous Magnetized Plasmas in the Approximation of Geometrical Optics

3.8.2. Magnetic confinement of inhomogeneous plasma

3.8.3. Dielectric tensor of weakly inhomogeneous magnetized plasma

3.8.4. Larmor drift frequency

3.9.1. Transverse oscillations of weakly inhomogeneous isotropic plasma

3.9.2. Langmuir Oscillations. Tonks-Dattner resonances

3.9.3. Ion-Acoustic oscillations of inhomogeneous isotropic plasma

3.9.5. Drift oscillations of weakly inhomogeneous collisionless plasma

3.9.5.1. Larmor drift in inhomogeneous plasma

3.9.5.2. Dispersion equation for drift oscillations

3.9.5.4. Universal instability of inhomogeneous plasma

3.9.5.5. Spectra of slow long-wavelength drift oscillations

3.9.5.6. Drift-dissipative and drift-temperature instabilities

3.10.1. Poisson's equation for the magnetically confined inhomogeneous plasma

3.10.2. Surface oscillations of cold magneto-active plasma with a sharp boundary

3.10.3. Instability of the surface of magnetically confined plasma

Chapter Four

Quantum Plasma (Influence of spatial Dispersion on some Phenomena in Metals)

4.1. Quantum Kinetic Equation with Self-consisted Fields and Magnetic Permittivity of an Electron gas

4.2. Longitudinal Oscillations of a Degenerate Electron Gas and Characteristic Energy Loss of the fast moving Electrons

4.3. Anomalous skin-effect in metals

4.4. Paramagnetic Resonance Absorption of Metals by Conduction Electrons

4.5. Collisionless Absorption of Sound Waves in Condensed Matters

4.5.1. Acoustic wave absorption and excitation in piezo-semiconductors

4.6. Problems

Chapter Five

Spatial Dispersion in Molecular Crystals

5.1. Dielectric permittivity of molecular crystals

5.2. The Permittivity of a Monatomic Gas with Spatial Dispersion

5.3. Problems