Kaya imre harold weitzner (2 risultati)

Paperback. Condizione: New. Print on Demand. This book explores relativistic broadening of absorption and emission lines near cyclotron resonance in a warm plasma. The analysis is based on the linearized relativistic Vlasov-Maxwell system with the unperturbed state assumed to be isotropic but not necessarily Maxwellian. The expansion parameter is ne /c where ve is the electron thermal speed. It is assumed that the wave frequency, plasma frequency, and cyclotron frequency are all comparable in magnitude, and the refractive index n is O(1). The parameter a n /n is of arbitrary order, and the results are uniformly valid for all values of oblique propagation angles, although the relativistic effects are negligible for small angles. The dielectric tensor is reordered, and the dispersion relation appropriate for this problem is derived to the lowest significant order in n. The results are expressed in terms of the readily calculable (generalized) plasma dispersion function Z. In the Maxwellian case the results are algebraic in Z, and unlike the previously published results, they do not involve infinite integrals or series imposed on Z, thus leading to simple and efficient evaluations. The case of perpendicular propagation is obtained by taking the large a limit. The results resolve some inconsistencies in the literature dealing with the extraordinary mode. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condizione: New. Print on Demand. This book delves into the complex world of wave propagation within a plasma, a state of matter where charged particles are free to move. The author focuses specifically on the behavior of waves as they encounter ion cyclotron resonance layers, regions where the wave frequency aligns with the natural frequency of ions in a magnetic field. This research is crucial to understanding how plasmas respond to external energy, particularly in the field of plasma heating, which is a critical process for harnessing the power of fusion energy. Building upon earlier work on electron cyclotron harmonics, the author utilizes boundary layer analysis, a mathematical technique that examines the behavior of a system near a point of dramatic change. This approach provides a deeper understanding of wave propagation than traditional geometrical optics, which often breaks down near resonance layers. The book examines the wave interactions at various harmonic resonances, including the fundamental resonance and the ion-ion hybrid resonance, revealing the intricate interplay between wave energy, mode conversion, reflection, and absorption within these layers. The authorââ â¢s exploration is rich with theoretical proofs of reciprocity relations, which describe the symmetry of wave propagation regardless of the direction of incidence. These proofs provide a foundation for understanding the general principles of wave interaction in plasmas, and the book further presents numerical results illustrating the behavior of wave propagation under different conditions. Ultimately, this book offers a powerful framework for understanding the fundamental processes of wave propagation in plasma physics, paving the way for more efficient and effective methods of plasma heating in the quest for controlled fusion energy. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…