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Hydromagnetic Waves
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Book Synopsis Hydromagnetic Waves by : Henry R. Radoski
Download or read book Hydromagnetic Waves written by Henry R. Radoski and published by . This book was released on 1976 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical solutions to the initial value problem have been obtained for the guided (toroidal) and isotropic (poloidal) electric fields of hydromagnetic waves for the asymmetric case. The cylindrical model of the inner magnetosphere has been used in which the field lines are arcs of circles and the surface of the earth is planar. The cases considered have the initial disturbance completely restricted to either the guided or isotropic field components to emphasize the effect of coupling. The development of the system has been calculated for asymmetric modes of order m = 1 to 10, corresponding to from one to ten full waves in longitude and the lowest order (n =1) field-line mode, corresponding to a half-wave along a field line. The initial isotropic (east-west) electric-field component is in an eigenstate of the symmetric or uncoupled poloidal mode. In this case, when the coupling is reduced to zero, the isotropic electric field simply oscillates harmonically. The initial guided (north-south) electric-field component is defined to increase radially and towards higher latitudes. As a check on the numerical solutions, the total energy of the system is continually calculated and compared with the initial energy. Although no damping is included in the problem, the poloidal-mode energy decays with time, as has been shown theoretically. The toroidal mode reaches maximum amplitude in regions of relatively narrow latitudinal extent. The large spatial variation of the magnetic field in these resonance regions must be associated with large field aligned currents. (Author).
Book Synopsis Hydromagnetic Waves in the Magnetosphere and the Ionosphere by : Leonid S. Alperovich
Download or read book Hydromagnetic Waves in the Magnetosphere and the Ionosphere written by Leonid S. Alperovich and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a fascinating text that integrates topics pertaining to all scales of the MHD-waves, emphasizing the linkages between the ULF-waves below the ionosphere on the ground and magnetospheric MHD-waves. It will be most helpful to graduate and post-graduate students, familiar with advanced calculus, who study the science of MHD-waves in the magnetosphere and ionosphere. The book deals with Ultra-Low-Frequency (ULF)-electromagnetic waves observed on the Earth and in Space.
Book Synopsis Spectrum of Hydromagnetic Waves in the Exosphere by : Gordon James MacDonald
Download or read book Spectrum of Hydromagnetic Waves in the Exosphere written by Gordon James MacDonald and published by . This book was released on 1962 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: A disturbance in the exosphere generates waves in three partially separable modes. These modes are described by considering the vorticity about a line of force, the two-dimensional divergence of velocity in the plane perpendicular to the line of force, and the component of velocity along the line of force. The propagation of vorticity is one-dimensional and there is no geometrical attenuation; energy is lost only through the finite conductivity of the medium. The propagation of the longitudinal velocity component is almost one-dimensional but is heavily damped at high frequencies. In a gravitational field, the medium is no longer uniform and at low frequencies the modes are coupled in a complicated way. For parallel magnetic and gravitational fields, the vorticity mode is still separable and gravity leads to anisotropic dispersion in the other modes.-p.i.
Book Synopsis Spectrum of Hydromagnetic Waves in the Exosphere by : Gordon J. F. MacDonald
Download or read book Spectrum of Hydromagnetic Waves in the Exosphere written by Gordon J. F. MacDonald and published by . This book was released on 1962 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: A disturbance in the exosphere generates waves in three partially separable modes. These modes are described by considering the vorticity about a line of force, the two-dimensional divergence of velocity in the plane perpendicular to the line of force, and the component of velocity along the line of force. The propagation of vorticity is one-dimensional and there is no geometrical attenuation; energy is lost only through the finite conductivity of the medium. The propagation of the longitudinal velocity component is almost one-dimensional but is heavily damped at high frequencies. In a gravitational field, the medium is no longer uniform and at low frequencies the modes are coupled in a complicated way. For parallel magnetic and gravitational fields, the vorticity mode is still separable and gravity leads to anisotropic dispersion in the other modes.
Book Synopsis The Transmission of Hydromagnetic Waves Through the Ionosphere by : Ilan Josip Rothmuller
Download or read book The Transmission of Hydromagnetic Waves Through the Ionosphere written by Ilan Josip Rothmuller and published by . This book was released on 1971 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydromagnetic Wave Propagation in a Constant Dipole Magnetic Field by : John Carstoiu
Download or read book Hydromagnetic Wave Propagation in a Constant Dipole Magnetic Field written by John Carstoiu and published by . This book was released on 1962 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Propagation of Hydromagnetic Waves in a Stochastic Magnetic Field by : George C. Valley
Download or read book Propagation of Hydromagnetic Waves in a Stochastic Magnetic Field written by George C. Valley and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Whistler-hydromagnetic Extension of Magneto-ionic Theory (revised) by : Gideon Kantor
Download or read book The Whistler-hydromagnetic Extension of Magneto-ionic Theory (revised) written by Gideon Kantor and published by . This book was released on 1966 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Experimental Study of Hydromagnetic Waves in Plasma by : Alan Woodruff DeSilva
Download or read book Experimental Study of Hydromagnetic Waves in Plasma written by Alan Woodruff DeSilva and published by . This book was released on 1961 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetohydrodynamic Waves in Geospace by : A.D.M. Walker
Download or read book Magnetohydrodynamic Waves in Geospace written by A.D.M. Walker and published by CRC Press. This book was released on 2019-09-12 with total page 1168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solar-terrestrial physics deals with phenomena in the region of space between the surface of the Sun and the upper atmosphere of the Earth, a region dominated by matter in a plasma state. This area of physics describes processes that generate the solar wind, the physics of geospace and the Earth's magnetosphere, and the interaction of magnetospheri
Book Synopsis Hydromagnetic Ionizing Waves by : Allen G. Rubin
Download or read book Hydromagnetic Ionizing Waves written by Allen G. Rubin and published by . This book was released on 1965 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory of hydromagnetic ionizing waves has been developed which is valid in the region in which gas pressure is negligible, compared with magnetic pressure. The theory takes into account the energy expended in partial ionization of the gas behind the wave. The usual high conductivity boundary condition behind the wave is not employed. The electric field in front of the wave is taken as a parameter. Results of this theory are compared with available experimental measurements, and show good agreement. (Author).
Book Synopsis A Mechanical Analogue for the Study of Hydromagnetic Propagation in the Magnetosphere by : Henry R. Radoski
Download or read book A Mechanical Analogue for the Study of Hydromagnetic Propagation in the Magnetosphere written by Henry R. Radoski and published by . This book was released on 1973 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reduction of the oscillations of the magnetosphere to a simple mechanical analogue, which can be analyzed in detail, is accomplished in three stages: (1) The comparison of the wave equations for a dipole field magnetized plasma to those for a rectangular model of the plasmasphere with a unidirectional field -- the important physical characteristics are shown to be independent of the particular geometry chosen; (2) the comparison of the equations in the above hydromagnetic box with those of a mechanical system consisting of a set of oscillators, representing field lines, coupled by a wave propagating medium -- for the symmetric modes with weak ion-cyclotron coupling, the equations for the hydromagnetic and mechanical systems are essentially identical; (3) the simplification of the mechanical system to an elementary wave-oscillator model representing the coupling between resonant poloidal and toroidal modes -- the nature of the motion of this model is independent of the strength of the coupling. In general, the behavior of coupled and uncoupled modes is essentially different. When any coupling is present, steady state solutions, as normally understood, are not possible. (Author).
Book Synopsis Infrasonic Waves from the Auroral Zone by : Kaichi Maeda
Download or read book Infrasonic Waves from the Auroral Zone written by Kaichi Maeda and published by . This book was released on 1964 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hydromagnetic Waves by : Henry R. Radoski
Download or read book Hydromagnetic Waves written by Henry R. Radoski and published by . This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical solutions to the initial value problem have been obtained for the guided (toroidal) and isotropic (poloidal) electric fields of hydromagnetic waves for the asymmetric case. The cylindrical model of the inner magnetosphere has been used in which the field lines are arcs of circles and the surface of the earth is planar. The cases considered have the initial disturbance completely restricted to either the guided or isotropic field components to emphasize the effect of coupling. The development of the system has been calculated for asymmetric modes of order m = 1 to 10, corresponding to from one to ten full waves in longitude and the lowest order (n =1) field-line mode, corresponding to a half-wave along a field line. The initial isotropic (east-west) electric-field component is in an eigenstate of the symmetric or uncoupled poloidal mode. In this case, when the coupling is reduced to zero, the isotropic electric field simply oscillates harmonically. The initial guided (north-south) electric-field component is defined to increase radially and towards higher latitudes. As a check on the numerical solutions, the total energy of the system is continually calculated and compared with the initial energy. Although no damping is included in the problem, the poloidal-mode energy decays with time, as has been shown theoretically. The toroidal mode reaches maximum amplitude in regions of relatively narrow latitudinal extent. The large spatial variation of the magnetic field in these resonance regions must be associated with large field aligned currents. (Author).
Book Synopsis Hydromagnetic Wave Propagation Near 1 C/s in the Upper Atmosphere and the Properties and Interpretation of Pc 1 Micropulsations by : John Alexander Dawson
Download or read book Hydromagnetic Wave Propagation Near 1 C/s in the Upper Atmosphere and the Properties and Interpretation of Pc 1 Micropulsations written by John Alexander Dawson and published by . This book was released on 1966 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time by : A. Lichnerowicz
Download or read book Magnetohydrodynamics: Waves and Shock Waves in Curved Space-Time written by A. Lichnerowicz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: For seventy years, we have known that Einstein's theory is essentially a theory of propagation of waves for the gravitational field. Confusion enters, however, through the fact that the word wave, in physics, implies sometimes repetition and sometimes not. This confusion is often increased by he use of Fourier transforms, by which a disturbanse which appears to be without repetition is resolved into periodic wave-trains with all frequencies. But, in a general curved space-time, we have nothing corresponding to Fourier transforms. Here, we consider systematically waves corresponding to the propagation of discontinuities of physical quantities describing either fields (essentially electromagnetic fields and gravitational field), or the motion of a fluid, or together, in magnetohydrodynamics, the changes in time of a field and of a fluid. The main equations, for the different studied phenomena, constitute a hyperbolic system and the study of a formal Cauchy problem is possible. We call ordinary waves the case in which the derivative of superior order appearing in the system are discontinuous at the traverse of a hypersurface, the wave front ; we call shock waves the case where the derivatives of an order inferior by one are discontinuous at the traverse of a wave front. XI xii PREFACE From 1950, many well-known scientits (Taub, Synge, Choquet-B ruhat, etc.) have studied the corresponding equations for different physical phenomena : systems associated to the electromagnetic and gravitational fields, to hydrodynamics and to magnetohydrodynamics.
Book Synopsis Coupled Hydromagnetic Modes by : Henry R. Radoski
Download or read book Coupled Hydromagnetic Modes written by Henry R. Radoski and published by . This book was released on 1972 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before micropulsations can be utilized as a diagnostic tool, the critical theoretical problem of coupled hydromagnetic modes must be appreciated. Several alternative analyses of the steady state solutions of coupled modes have been proposed. In determining which, if any, steady state solution is of physical significance, the manner in which the hydromagnetic system evolves from an initial disturbance would be decisive. The basic initial value problems are those of field line excitation and relaxation. At present, these problems are investigated best by using a mechanical analogue of the resonant interaction between hydromagnetic modes. The transient response as well as the transmission and reflection coefficients have been calculated for the excitation problem. Analysis of the relaxation problem indicates that the characteristic frequency of the radiated signal need not be identical to the field line frequency. For the case treated, the frequency is always less and the waveform can appear as a single pulse. Results suggest that damped oscillations should be the characteristic signature of micropulsations propagated to low latitudes. (Author).