Initial-value problem for relativistic plasma oscillations.
Initial value problem for collisionless relativistic Vlasov-Maxwell equations, noting new plasma oscillation modes and various phase velocities
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Initial value problem for collisionless relativistic Vlasov-Maxwell equations, noting new plasma oscillation modes and various phase velocities
Partially polarized waves in homogeneous dispersive medium with small anisotropy, deriving field solution for tensor permeability specified medium from Maxwell equations
Vlasov-Maxwell equations solved for large amplitude oscillatory electric fields with uniform external magnetic field, considering initial plasma current
Expanding solutions of Einstein-Maxwell equations in D class spaces admitting null and nonnull electromagnetic field
Modified geometric optics method for solution of Maxwell equations
Radiation fields produced by energetic electrons in helical orbit within magnetoactive plasma derived by solving Maxwell equations
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Trapped modes in cold magnetoplasma slabs and rods in free space analyzed by Maxwell equation, assuming DC magnetic field and homogeneous electrons distribution
Radiation fields from energetic electron moving in helical orbit in magnetoactive plasma, using Maxwell equations
Maxwell equations for electromagnetic field, systems of orthogonal curvilinear coordinates, and boundary problems of electromagnetic wave diffraction
Magnetic field and plasma variations in lunar wake using Maxwell equations
Einstein-Maxwell equations solutions relation to Robinson and Robinson metrics compared with Reissner-Nordstrom solution relation to Schwarzschild
Maxwell equations and equations of massive-vector- meson fields in spatially homogeneous Bianchi cosmologies, obtaining formula for homogeneous EM field
The linearized response of a Vlasov plasma to the steady-state excitation of transverse plasma waves along an external magnetic field is examined. Assuming a delta-function excitation mechanism, and performing a detailed Vlasov-Maxwell equation analysis using Fourier-Laplace transforms, the plasma response is found to consist of three terms: a branch-cut term, a free-streaming term, and a dielectric-pole term. Also considered is the phenomenon of plasma wave echoes. The case of longitudinal electrostatic waves is extended to the case of transverse plasma waves that propagate along an external magnetic field. It is shown that a transverse echo results in lowest order only when one excitation is transverse and the other is longitudinal.
The problem of finding algebraically special solutions to the vacuum Einstein-Maxwell equations was investigated using a spin coefficient formalism. The general case in which the degenerate null vectors are not hypersurface orthogonal is reduced to a problem of solving five coupled differential equations that are no longer dependent on the affine parameter along the degenerate null directions. It is shown that the most general regular, shear-free, nonradiating solution to these equations is the Kerr-Newman metric.
The instability of the electromagnetic linearly polarized mode propagating perpendicularly to the magnetic field is studied for a system composed of two colliding plasma streams, in each of which the electrons and ions are streaming at the same velocity. Using linearized Vlasov-Maxwell equations and allowing for anisotropic temperatures, it is found that in the presence of streaming ions the instability can occur in very low-beta plasmas. The plasma is increasingly susceptible to the electromagnetic instability with increasing values of beta, streaming velocity, temperature ratio of parallel to perpendicular electrons, and temperature ratio of perpendicular electrons to perpendicular ions.
The Belinfante-Swihart (BS) theory is reformulated in a representation in which uncharged matter responds to gravity in the same way as in metric theories. The BS gravitationally modified Maxwell equations are also put into metric form to first order in the deviations of the physical metric from flat space, but not to second order; consequently the theory is nonmetric except in first order. Also shown is that the theory violates the high precision Eotvos-Dicke experiment, but cannot be ruled out by the gravitational precession of gyroscopes.
Linear wave propagation in hot collisionless plasmas is described by the linearized Vlasov and Maxwell equations. In uniform media, the utilization of spatial and temporal transforms of those equations leads to the consideration of integrals of the Hilbert transform type. Analysis and comparison of two simple approximations are provided based on the utilization of resonance velocity distributions. Application is then made to the Landau and whistler waves, along with a discussion of the results, and commentary on possible improvements.