Abstract:A new generalized pair of space-correlation and wave-number spectrum functions, which has properties indicated by fluid dynamics and by intuition, is proposed. In contrast with previously used combinations, both are analytic functions and smooth and cover the complete range of their arguments. For example, the spectrum form can apply to all wave numbers rather than to any limited portion, such as the inertial range. Whenever convolution is necessary, it becomes a routine computer calculation. Furthermore, the … Show more
“…We will utilize a model of 3-D anisotropic power-low spectrum of irregularities. Generalized correlation function for powerlaw spectrum of electron density irregularities with a powerlaw index p has been proposed in [14]. The corresponding spectral function has the form:…”
Section: Anisotropic Gaussian and Power-law Correlation Functionsmentioning
Abstract-Electromagnetic waves scattering in turbulent anisotropic collision magnetized ionospheric plasma is investigated using complex geometrical optics approximation.Correlation function of the phase fluctuations of scattered radiation is obtained taking into account both electron density and magnetic fields fluctuations. The features of the angular power spectrum of scattered radiation are investigated analytically and numerically. The expressions of broadening of the spatial spectrum have been obtained for both powerlaw and anisotropic Gaussian correlation functions of electron density fluctuations. Gaussian spectral function takes into account the axial ratio of the field-aligned irregularities and the angle of inclination of prolate irregularities with respect to the external magnetic field. The variance of the phase and scintillation level of scattered radiation are calculated numerically for F -region irregularities of the ionosphere. The conditions of non-fully and fully developed diffraction patterns have been determined.
“…We will utilize a model of 3-D anisotropic power-low spectrum of irregularities. Generalized correlation function for powerlaw spectrum of electron density irregularities with a powerlaw index p has been proposed in [14]. The corresponding spectral function has the form:…”
Section: Anisotropic Gaussian and Power-law Correlation Functionsmentioning
Abstract-Electromagnetic waves scattering in turbulent anisotropic collision magnetized ionospheric plasma is investigated using complex geometrical optics approximation.Correlation function of the phase fluctuations of scattered radiation is obtained taking into account both electron density and magnetic fields fluctuations. The features of the angular power spectrum of scattered radiation are investigated analytically and numerically. The expressions of broadening of the spatial spectrum have been obtained for both powerlaw and anisotropic Gaussian correlation functions of electron density fluctuations. Gaussian spectral function takes into account the axial ratio of the field-aligned irregularities and the angle of inclination of prolate irregularities with respect to the external magnetic field. The variance of the phase and scintillation level of scattered radiation are calculated numerically for F -region irregularities of the ionosphere. The conditions of non-fully and fully developed diffraction patterns have been determined.
“…We utilize 3D anisotropic power-law spectrum of electron density irregularities. Generalized correlation function for power-law spectrum of electron density irregularities with a powerlaw index p has been proposed in [19]. The corresponding spectral function has the form:…”
Section: Numerical Results and Discussionmentioning
Abstract-Statistical characteristics of multiply scattered electromagnetic waves in turbulent magnetized plasma with both electron density and external magnetic field fluctuations are considered. Analytical expression for phase fluctuations of scattered radiation is derived using the smooth perturbation method. Correlation and wave structure functions of the phase fluctuations, angle-of-arrivals are obtained for arbitrary correlation functions of fluctuating plasma parameters and external magnetic field taking into account the diffraction effects. The evolution of a double-peaked shape in the spatial power spectrum of scattered radiation is analyzed numerically for both anisotropic Gaussian and power-law spectra of electron density fluctuations using experimental data. Phase portraits of external magnetic field fluctuations have been constructed for different non-dimensional spatial parameters characterizing a given problem.
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