Author: John Carstoiu
Publisher:
ISBN:
Category : Magnetic dipoles
Languages : en
Pages : 48
Book Description
Hydromagnetic Wave Propagation in a Constant Dipole Magnetic Field
Hydromagnetic and Radio Wave Propagation in the Magnetosphere Along a Field-aligned Plasma Stratum
Author: Nicholas Gothárd
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 258
Book Description
Publisher:
ISBN:
Category : Magnetohydrodynamics
Languages : en
Pages : 258
Book Description
Hydromagnetic Waves
Author: Henry R. Radoski
Publisher:
ISBN:
Category : Electric fields
Languages : en
Pages : 40
Book Description
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).
Publisher:
ISBN:
Category : Electric fields
Languages : en
Pages : 40
Book Description
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).
NASA Technical Note
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
A Mechanical Analogue for the Study of Hydromagnetic Propagation in the Magnetosphere
Author: Henry R. Radoski
Publisher:
ISBN:
Category : Machinery
Languages : en
Pages : 24
Book Description
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).
Publisher:
ISBN:
Category : Machinery
Languages : en
Pages : 24
Book Description
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).
Handbook of Electromagnetic Propagation in Conducting Media
Author: Martin B. Kraichman
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 152
Book Description
The Alfvén Wave
Author: Akira Hasegawa
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 152
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 152
Book Description
Theory of Electromagnetic Wave Propagation
Author: Charles Herach Papas
Publisher: Courier Corporation
ISBN: 048614514X
Category : Science
Languages : en
Pages : 274
Book Description
Clear, coherent work for graduate-level study discusses the Maxwell field equations, radiation from wire antennas, wave aspects of radio-astronomical antenna theory, the Doppler effect, and more.
Publisher: Courier Corporation
ISBN: 048614514X
Category : Science
Languages : en
Pages : 274
Book Description
Clear, coherent work for graduate-level study discusses the Maxwell field equations, radiation from wire antennas, wave aspects of radio-astronomical antenna theory, the Doppler effect, and more.
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 436
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 436
Book Description
Lectures on Wave Propagation Theory
Author: James R. Wait
Publisher: Pergamon
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 340
Book Description
Publisher: Pergamon
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 340
Book Description