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The inverse spectral problem is examined in the paper for a spherically-symmetric piecewise-constant media, where transmission eigen-values are given as initial data. The problem is reduced to Hilbert-Riemann problems and a condition of uniqueness of the problem solution is established in a form, which is less strict in comparison with the inverse spectral problem for continuous wave speed. A constructive...
Inverse scattering problem has become a wide area of scientific research in recent decades. Being originated as a pure mathematical subject, the theory of inverse problems has been associated with many branches of engineering, such as antenna array theory and stochastic signal processing. This paper provides an example of stochastically derived procedure for solution of an inverse electromagnetic...
Problems of detection and localization of electromagnetic sources in a dielectric layered medium is considered in this paper. As it is shown interfaces of the layer medium has significant influences on formation of scattered field. To solve the problem, it is proposed to use combination of high-resolution approach to localization of sources and conception of dyadic Green function for a layer medium...
A numerical aspect of inverse scattering problem solution for plane wave normal incidence on an absorbing medium is considered in the paper. The electromagnetic field equations are reduced to the Zakharov-Shabat's one. A new numerical scheme is developed taking into account peculiarities of the integral equation method for this inverse scattering problem solution. The proposed method has a high accuracy...
The solution of the inverse scattering problem (ISP) for oblique incidence of the electromagnetic plane wave on a dielectric layered structure is presented in the paper. The investigation covers a case, where angular dependence of the reflection coefficient is used as initial data. Solution of this problem involves reducing the electromagnetic field equations to a Schrodinger's one in both cases:...
Research results of the approaches to solving of three-dimensional surface reconstruction problem from a pair of stereo images are presented in the paper. The variational approach to stereo image matching is developed. The approach is reduced to solution of a differential equation, which is written in a new form. The reconstruction algorithm is elaborated taking into account peculiarities of fractographic...
In the paper the results of spatio-temporal imaging simulation based on radar, synthetic aperture radar (SAR) and radiometry systems are presented. The analytical relationship between object scattering/emitting and the formed image is given and the general approach for the description of imaging system by means of Frendholm equation solution is developed. The potential limit of image resolution based...
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