Electrodynamics of Conducting Dispersive Media

ISBN-13: 9783030289706 / Angielski / Miękka / 2020 / 485 str.

Babak Shokri; Anri A. Rukhadze

Spis treści

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

1.7. Electromagnetic Wave Propagation in a Weakly Spatial Dispersive 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

1.9.2. Electromagnetic field fluctuations in homogenous isotropic non-grotropic media

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

2.10.1.5. Surface waves in cold semi-bounded plasma

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

3.3. Relativistic Electron Plasma in the 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

3.8.1. Distribution function for equilibrium inhomogeneous plasma

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. Spectra of HF and Larmor Oscillations in Weakly Inhomogeneous Plasmas

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

3.9.4. Oscillations of weakly inhomogeneous magneto-active 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

3.9.5.3. Spectra of fast long-wavelength 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. Instability of the Boundary of Magnetically Confined Plasma

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

3.11. Problems

 

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

4.5.2. Excitation of coupled quasi elasto-electromagnetic surface waves

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

O autorze

Professor in physics of the Shahid Beheshti University, Babak Shokri was born in 1965 in Tehran, Islamic Republic of Iran. He received his PhD degree from the General Physics Institute of the Russian Academy in Moscow under the supervision of A. A. Rukhadze in 1997. He has been working as a faculty member in the physics department and Laser-Plasma Research Institute of Shahid Beheshti University since 1998. Furthermore he worked as a visiting professor in Alberta University and Manchester University in 2003 and 2007, respectively. He is the author of more than 200 papers in pre-reviewed journals. Furthermore, he won the Khwarizmi International Award in 2006. He was honored two times as the outstanding researcher of Islamic Republic of Iran in 2004 and 2006. The domain of his interest is rather wide and covers theoretical and experimental physics including electrodynamics of dispersion media, laser-plasma interaction, accelerator’s physics, PECVD, Plasma MW electronics, plasma engineering and plasma applications in industry and medicine.

Rukhadze Anri Amvrosievich holds a Doctor of Physical and Mathematical Sciences, chief research associate of the General Physics Institute of A.M. Prokhorov of the Russian Academy of Sciences, Professor of the Physics Department of the Moscow State University and the Physico-Technical Institute (Technical University), graduated with honors from the Moscow Engineering Physics Institute (MEPhI) in 1954. He has published more than 600 published scientific papers, 60 reviews and 10 scientific monographs. He is the member of the editorial board "Applied Physics", "Successes of Applied Physics", "Brief Communications on Physics of the Lebedev Physical Institute", "Applied Physics and Mathematics" and Editor-in-Chief of the Journal of Engineering Physics. He was repeatedly awarded with government awards, including the Order of Honor, the Order of the Red Banner of Labor, Order of Prokhorov, and twice the State Prize and the Prize of M.V. Lomonosov. He was honored Worker of Science of Russia. His scientific interests include kinetics and physical electronics, quantum and classical electrodynamics. He passed away in March 2018.

Blurb

This book presents a sequential representation of the electrodynamics of conducting media with dispersion. In addition to the general electrodynamic formalism, specific media such as classical nondegenerate plasma, degenerate metal plasma, magnetoactive anisotropic plasma, atomic hydrogen gas, semiconductors, and molecular crystals are considered.

The book draws on such classics as Electrodynamics of Plasma and Plasma-Like Media (Silin and Rukhadze) and Principles of Plasma Electrodynamics (Alexandrov, Bogdankevich, and Rukhadze), yet its outlook is thoroughly modern—both in content and presentation, including both classical and quantum approaches. It explores such recent topics as surface waves on thin layers of plasma and non-dispersive media, the permittivity of a monatomic gas with spatial dispersion, and current-driven instabilities in plasma, among many others. Each chapter is equipped with a large number of problems with solutions that have academic and practical importance. This book will appeal to graduate students as well as researchers and other professionals due to its straight-forward yet thorough treatment of electrodynamics in conducting dispersive media.