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A new approach in frameworks of the dual regularization method is proposed in the solution of the reflectometry inverse problem to retrieve profiles of diffuse inhomogeneities in multilayer periodic epitaxy nanostructures by multifrequency measurements of power reflection coefficient. To compensate the absence of phase information in input data, the a priori information about the belonging of the...
In this paper, a new approach in the theory of nonlinear ill-posed problems is applied to the statement of one-dimensional inverse scattering problems. The first problem is the problem of reflectometry subsurface analysis of one-dimensional permittivity inhomogeneities. The second is the problem of the synthesis of multilayer dielectric structures with a desired reflection spectrum.
The dual regularization method is applied in the inverse problem of electromagnetic scattering to retrieve permittivity inhomogeneities in multilayer periodic dielectric structures. Based on the developed theory, the solution algorithm has been worked out and applied in the numerical simulation of the multifrequency reflectometry diagnostics of inhomogeneities in multilayer structures of X-ray optics.
The dual regularization method is applied in the inverse problem of electromagnetic scattering to retrieve permittivity inhomogeneities in multilayer periodic dielectric structures by the pseudopulse synthesized from multifrequency reflectometry measurements. Based on the developed theory, the solution algorithm has been worked out and applied in the numerical simulation of this reflectometry diagnostics...
The inverse problem of electromagnetic scattering of media with one-dimensional permittivity distribution is considered. Two approaches are applied in the study. First is based on the solution of non-linear integral equation for the scattered field; second-involves in analysis the Lagrange formalism applied to initial differential equations (Maxwell's equations). Based on the developed theory, solution...
A method of the coherent near-field sounding of multilayered dielectric structures is studied. It is based on field measurements with subwavelength probes (emitting and receiving) that are spaced in the near-field zone above the upper layer of the studied structure. It makes possible to achieve a subwavelength resolution at the control of the layers' depth. Especially high resolution can be achieved...
A method of the near-field scanning coherent tomography has been developed for the microwave diagnostics of the 3D subsurface structure of the complex permittivity. This method uses data of 2D scanning over lateral co-ordinates above the ground surface with the dipole emitter-receiver system. Multifrequency measurements provide the depth sensitivity. The regularization algorithm based on the Tikhonov's...
The considered inverse problem of electromagnetic scattering is widely applied in the subsurface profiling of media permittivity. In previous works, mainly the non-linear integral equation for the scattered field has been in use. It has been solved in the Born approximation or, sometimes, iteratively - beyond this approximation. However, the solution of this ill-posed problem at each step of iterations...
In this paper, a reflectometry method of sounding of layers' parameters in periodic multilayered dielectric structures is proposed and applied to the study of X-ray optics structures. It is based on angular and spectral (multi-frequency) measurements of a studied structure. Angular measurements of the reflection coefficient are used to determine the period of a structure; the spectrum is in use to...
Results of numerical simulation of the scanning microwave tomography of dielectric objects based on the inverse scattering problem solution by 2D data of multi-frequency near-surface microwave measurements are presented. Modeling has been carried out both for continuously distributed inhomogeneities of the complex permittivity and for homogeneous rectangular objects. Results demonstrate the reliability...
Methods of the ultra low-frequency electromagnetic sounding of the conductivity into the earth crust based on wideband (in the frequency range 0.001-1000 Hz) measurements of electromagnetic fields using both natural and artificial sources of are considered. The inverse problem is solved to retrieve continuous one-dimensional profiles of conductivity using iterative approach for the non-linear integral...
A new tomography method of the inhomogeneous half-space is proposed that can be realized in the scanning probe microscopy and other kinds of electromagnetic diagnostics of media. In this method the 2D scanning of variations of the signal related to inhomogeneities in a medium are in use. The scanning should be done at various values of a parameter that determines the effective depth of the formation...
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