Representation of a wave field in a randomly inhomogeneous medium in the form of the double-weighted Fourier transform
TLDR
In this paper, a new integral representation of a wave field dn a continuously inhomogeneous random medium is suggested in the form of double-weighted Fourier transformation, performed simultaneously with respect to coordinates of the source and the observer.Abstract:
New integral representation of a wave field dn a continuously inhomogeneous random medium is suggested in the form of double-weighted Fourier transformation, performed simultaneously with respect to coordinates of the source and the observer. The integral representation under consideration takes into account both the diffraction effects and the multiray effects. It incorporates many results of known techniques of wave propagation description in continuously inhomogeneous media: the methods of geometrical optics, smooth perturbations, phase screen, and two-scale expansions. The method delivers new opportunities to retrieve small-scale inhomogeneous structure of ionosphere plasma from radio-sounding data and can serve as the basis for diffraction tomography of the ionosphere.read more
Citations
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Super-Fresnel resolution of plasma inhomogeneities by electromagnetic sounding
TL;DR: In this paper, the double weighted Fourier transform (DWFT) method is used for extracting the linear integral of the electron density in the inhomogeneous plasma from microwave or IR sounding data.
Journal ArticleDOI
Contribution of ionospheric irregularities to the error of dual-frequency GNSS positioning
B. C. Kim,M. V. Tinin +1 more
TL;DR: In this paper, the second-order residual range error in the dual-frequency correction of ionospheric effects on satellite navigation was investigated, and the perturbation method was used to derive second-approximation formulas for the phase path of the wave propagating through an inhomogeneous ionosphere.
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Diffraction tomography of inhomogeneous medium in the presence of strong phase variations
TL;DR: In this paper, a model of diffraction tomography on the basis of the double weighted Fourier transform (DWFT) is considered and a method for processing the results of tomographic measurements based on the inverse DWFT is proposed.
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Wave scattering in a multiscale random inhomogeneous medium
TL;DR: In this article, an integral representation for the wave field in a randomly inhomogeneous medium without invoking the assumption about small-angle propagation was obtained using the Fock method of the fifth parameter and weighted Fourier transform with respect to the coordinates of the source and observer.
Journal ArticleDOI
Method for super Fresnel resolution in electromagnetic diagnostics of inhomogeneous plasma
TL;DR: In this article, double weighted Fourier transform (DWFT) is proposed to represent the wave field of the source in the form of DWFT and deal with Fourier Transform simultaneously in the coordinates of the sources and in coordinates of receivers, which can transfer into geometrical optics approximation for smooth inhomogeneous media and becomes equivalent to the Rytov or small angle Born approximation in the case of weak inhomogeneities.
References
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Ionospheric imaging using computerized tomography
TL;DR: In this paper, the authors formulated the CT problem as it applies to ionospheric imaging and investigated the limitations of the CT technique in the presence of multiple ground stations, assuming a 1000km-altitude polar-orbiting satellite and both five and three ground stations.
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Microlab-1 experiment: Multipath effects in the lower troposphere
TL;DR: In this article, the authors describe and validate a method of deciphering the ray structure of the measured electromagnetic field in regions of multipath propagation, which allows for the refinement of the vertical resolution beyond the Fresnel scale as well as for the improvement of the signal/noise ratio.
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Radio tomography of the ionosphere
TL;DR: An overview of radio tomography approaches to ionospheric remote sensing in the radio-wave range is provided in this article, where the results of some initial experiments that show the possibilities of radio-tomography approaches are described.
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Inversion of GPS occultation measurements using Fresnel diffraction theory
Mette D. Mortensen,Per Høeg +1 more
TL;DR: In this paper, the results obtained using the Fresnel inversion method were compared to results obtained with the traditional geometrical optics inversion approach and to numerical weather prediction data.