On the Influence of Fluctuations of the Direction of an External Magnetic Field on Phase and Amplitude Correlation Functions of Scattered Radiation by Magnetized Plasma Slab

Abstract

Abstract-Statistical characteristics of scattered electromagnetic waves by turbulent magnetized plasma slab with electron density and magnetic field fluctuations are considered via the perturbation method and boundary conditions. Magnetic field fluctuates both in magnitude and direction. Analytical expressions for the component of scattered electric field, correlation functions of the amplitude and phase fluctuations, and also the phase structure function for arbitrary correlation functions of fluctuating plasma parameters are derived. The obtained results are valid for near and far zones. Under equal conditions, at strong magnetic fields, electron density fluctuations play the important role and in this case the imposed magnetic field decreases fluctuation intensity of the ordinary and extraordinary waves. Numerical calculations of statistical characteristics of scattered radiation were carried out for anisotropic Gaussian correlation function

Depolarization of Metric Radio Signals and the Spatial Spectrum of Scattered Radiation by Magnetized Turbulent Plasma Slab

“…If ω ν eff , ν eff is the effective electron collision frequency with the ions and molecules, then conduction current can be neglected and the total current in the medium equals to the displacement current j = −eN w, w -velocity of electrons. If the fields have time-harmonic dependence, electric field strength satisfies the equation [10]:…”

“…Each of the magnitudes in the Equation (1) can be presented as the sum of the mean value and small fluctuating terms. Using the small perturbation method: E = E + e, N = N 0 + n 1 (N 0 is constant, fluctuating terms are random functions of the spatial coordinates; the angular brackets indicate the statistical average) we obtain linearized set of stochastic differential equations for fluctuating electric field [10]:…”

“…Statistical characteristics of the amplitude and phase of scattered electromagnetic waves by turbulent magnetized plasma slab with electron density and magnetic field fluctuations (both in magnitude and direction) were considered in [10] via the perturbation method taking into account boundary conditions. The phase portraits of correlation functions of the amplitude and phase fluctuations were constructed.…”

Spatial Power Spectrum of Multiple Scattered Ordinary and Extraordinary Waves in Magnetized Plasma With Electron Density Fluctuations

“…The features of the spatial power spectrum (SPS) of scattered radiation in magnetized anisotropic plasma in the complex geometrical optics approximation using the perturbation method have been investigated in [7][8][9][10]. Evolution of the angular distribution of ray intensity at light propagation in random medium with prolate irregularities has been considered in [11].…”

Statistical Characteristics of Scattered Radiation in Medium With Spatial-temporal Fluctuations of Electron Density and External Magnetic Field

“…Scintillation effects and the angleof-arrival of scattered electromagnetic waves by anisotropic collision magnetized ionospheric plasma slab for both power-law and anisotropic Gaussian correlation functions of electron density fluctuations were investigated analytically [3] in the complex geometrical optics approximation on the basis of stochastic eikonal equation and numerically [4] by statistical simulation using the Monte Carlo method. Second order statistical moments of scattered electromagnetic waves in the ionospheric plasma at random variations of geomagnetic field magnitude in the ray-(optics) approximation were considered in [5] and the influence of directional fluctuations of an external magnetic field by the perturbation method in [6]. The Stokes parameters and the Faraday angle of scattered ordinary and extraordinary waves by magnetized plasma slab were calculated in [7].…”