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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.
This reference and workbook provides not only a complete survey of classical electrodynamics, but also an enormous number of worked examples and problems to show the reader how to apply abstract principles to realistic problems. The book will prove useful to graduate students in electrodynamics needing a practical and comprehensive treatment of the subject.
Ch. 1. Linear harmonic waves in dispersive systems. Initial-value problem and problem with an external source. 1. Harmonic waves in dispersive systems. 2. Initial-value problem. Eigenmode method. 3. Characteristic function of the state vector. Dispersion operator. 4. Laplace transform method -- ch. 2. A case study of linear waves in dispersive media. 5. Transverse electromagnetic waves in an isotropic dielectric. 6. Longitudinal electrostatic waves in a cold isotropic plasma. Collisional dissipation of plasma waves. 7. Transverse electromagnetic waves in a cold isotropic plasma. Dissipation of transverse waves in a plasma. 8. Electromagnetic waves in metals. 9. Electromagnetic waves in a waveguide with an isotropic dielectric. 10. Longitudinal waves in a hot isotropic plasma. Electron diffusion in a plasma. 11. Longitudinal waves in an isotropic degenerate plasma. Waves in a quantum plasma. 12. Ion acoustic waves in a nonisothermal plasma. Ambipolar diffusion. 13. Electromagnetic waves in a waveguide with an anisotropic plasma in a strong external magnetic field. 14. Electromagnetic waves propagating in a magnetized electron plasma along a magnetic field. 15. Electrostatic waves propagating in a magnetized electron plasma at an angle to a magnetic field. 16. Magnetohydrodynamic waves in a conducting fluid. 17. Acoustic waves in crystals. 18. Longitudinal electrostatic waves in a one-dimensional electron beam. 19. Beam instability in a plasma. 20. Instability of a current-carrying plasma -- ch. 3. Linear waves in coupled media. Slow amplitude method. 21. Coupled oscillator representation and slow amplitude method. 22. Beam-plasma system in the coupled oscillator representation. 23. Basic equations of microwave electronics. 24. Resonant Buneman instability in a current-carrying plasma in the coupled oscillator representation. 25. Dispersion function and wave absorption in dissipative systems. 26. Some effects in the interaction between waves in coupled systems. 27. Waves and their interaction in periodic structures -- ch. 4. Nonharmonic waves in dispersive media. 28. General solution to the initial-value problem. 29. Quasi-harmonic approximation. Group velocity. 30. Pulse spreading in equilibrium dispersive media. 31. Stationary-phase method. 32. Some problems for wave equations with a source -- ch. 5. Nonharmonic waves in nonequilibrium media. 33. Pulse propagation in nonequilibrium media. 34. Stationary-phase method for complex frequencies. 35. Quasi-harmonic approximation in the theory of interaction of electron beams with slowing-down media -- ch. 6. Theory of instabilities. 36. Convective and absolute instabilities. First criterion for the type of instability. 37. Saddle-point method. Second criterion for the type of instability. 38. Third Criterion for the type of instability. 39. Type of beam instability in the interaction with a slowed wave of zero group velocity in a medium. 40. Calculation of the Green's functions of unstable systems -- ch. 7. Hamiltonian method in the theory of electromagnetic radiation in dispersive media. 41. Equations for the excitation of transverse electromagnetic field oscillators. 42. Dipole radiation. 43. Radiation from a moving dipole - undulator radiation. 44. Cyclotron radiation. 45. Cherenkov effect. Anomalous and normal doppler effects. 46. Application of the Hamiltonian method to the problem of the excitation of longitudinal waves
tion of fields as a product of coordinate-dependent and time-dependent factors. The temporal variations of both media and fields are given by Fourier expansions. The successes of radiotechnique provided fertile ground for the dominance of sinusoidal waves in wave physics. This approach proved to be a powerful the oretical tool, since researchers were dealing with long trains of slowly varying quasi-monochromatic waves. However, the success of this concept and the stan dardizability of related designs engendered a peculiar psychological hypnosis of Fourier electromagnetics, which took over as a model for wave phenomena in such cross-discipIlnary areas of physics as optics and acoustics. Yet in providing a description of alternating fields, the presentation of such fields in terms of traveling waves with frequency wand wave number k is not a law of nature. One can see that such a presentation is not even a logical corollary of Maxwell's equations. What is more, this approach has become inadequate today for the analysis of fields excited by ultrashort transients in continuous media.
An engaging writing style and a strong focus on the physics make this graduate-level textbook a must-have for electromagnetism students.
YU ISSN 0352-5740 TABLE DES MATIERES 1. R. D. Antanasijevie, T. S. Ceranie, S. V. Ribnikar, A. S. Safranj, D. M. Sevie, M. M. Vukov and A. J. Zario: A Search for the Element 113 in Nature 1 2. I. Gutman: Contributions to the Sensitivity Analysis of Multiple Chemical Equilibria: the Hessian Determinant of Ideal. Systems 1 1 3. R. Marinkovio-Neduein, E. Kig and P. Putanov: Transformation of Molybdenum Phases During Deactivation/Regeneration of a NiO-Mo0 3-A1,03 Catalyst 23 4. S. Sad2akov, M. Daeie and Z. Cvetkovie: Application of a New Technique to the Improvement of the Fundamental Catalogue 35 5. Dj. Mu§icki: On the Theory of Electromagnetic Waves in Dispersive Media 43 6. Z. MaksimoviO and R. Radoiele: Age of the Fossil Weathering Crusts in Kosovo and Metohija, South Serbia 5 1 7. M. V. Sugia: Hydriding of Pure and Palladium-doped SmCo Alloys 63 Ово дело је лиценцирано под условима лиценце Creative Commons - Attribution-Noncommercial-No Derivative Works 3.0 Serbia http://creativecommons.org/licenses/by-nc-nd/3.0/rs/deed.en
Local electromagnetic field fluctuations and related enhancement of nonlinear phenomena in metal-dielectric composites near the percolation threshold (percolation composites) have recently become an area of active study, because of the many fundamental problems involved and the high potential for various applications. It has been recognized recently that local field fluctuations can be especially large in the optical and infrared spectral ranges due to the surface plasmon resonance in metallic granules and their clusters. The strong fluctuations of the local electric and magnetic fields result in the enhancement of various optical effects: anomalous absorption, Rayleigh and Raman scattering, generation of the higher harmonic, Kerr nonlinearity, etc. Nonlinear percolation composites are potentially of great practical importance as media with intensity-dependent dielectric functions and, in particular, as nonlinear filters and optical bistable elements. The optical response of nonlinear composites can be tuned, for example, by controlling the volume fraction and morphology of constituents. This book presents a new theory of electromagnetic field distribution and nonlinear optical processes in metal-dielectric composites. The new approach is based on a percolation theory and the fact that the problem of optical excitations in percolation composites mathematically maps the Anderson transition problem in quantum mechanics. The theory predicts localization of the excitations (surface plasmons) in percolation composites and describes in detail the localization pattern that allows one to obtain relatively simple expressions for the enhancement of linear and nonlinear optical responses. Thistheory is supported by recent near-field experiments where the surface plasmon localization has been directly observed in the percolating composites in optical and microwave bands.
The manuscript tackles one of the most interesting branches of plasma phys ics, the electrodynamics of the plasma. 99% of matter in the universe occur in the plasma state, - e. g. , stars, gaseous nebulae, interstellar gas. The plasma also widely occurs on earth. Thus, the ionosphere protects human beings from the destroying effects of the solar radiation and provides the long distance radio communication. Plasmas also show up in metals and semicon ductors, and it is difficult to overestimate their importance in our everyday life. But even more important is that the power engineering of the future is connected with plasmas since the plasma is the fuel for thermonuclear reca tions and a practically unlimited source of energy harmless to the environ ment. For the description of a hot plasma a unique logically complete and consistent theoretical model has been developed on the basis of the Maxwell Vlasov equations. We tried to carry this idea through the entire text, which aims to present an orderly exposition of electromagnetic properties of the plasma within the Maxwell-Vlasov model. Both linear and nonlinear elec trodynamics of the plasma are presented. The first part (Chap. 1-5) deals with the linear electromagnetic properties of the plasma in thermodynamic equilibrium. The basic equations of the Maxwell-Vlasov model are introduced and the properties of the plasma in equilibrium are studied in the linear approximation of the electromagnetic field. The second part (Chaps.