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Öğe Reconstruction of 3D Objects Buried Under Into Half-Space by Using Variational Born Iterative Method(IEEE, 2019) Akdogan, Riza Erhan; Altuncu, YaseminThis paper propose a method based on variational Born iterative method to solve the inverse scattering problem of three-dimensional objects buried into two-part space. The addressed problem is substantially complex in both mathematical and computational aspect, because of the fact that the objects to be reconstructed are both three-dimensional and embedded into half-space. Variation born iterative method (VBIM) is as successful as distorted born iterative method (DBIM) that is the most widely used method in the reconstruction of high-contrast objects among Born-based methods. Furthermore, VBIM is much faster than DBIM because it doesn't require a forward problem solution for the calculation of background Green's function in every iteration step, such as DBIM. Various numerical implementations have been performed to reveal the effectiveness of the method and it is observed that the method is very successful in the reconstruction of multiple objects with arbitrary geometry.Öğe Reconstruction of 3D Objects Buried under into Half-Space by Using Variational Born Iterative Method(Institute of Electrical and Electronics Engineers Inc., 2019) Akdogan, Riza Erhan; Altuncu, YaseminThis paper propose a method based on variational Born iterative method to solve the inverse scattering problem of three-dimensional objects buried into two-part space. The addressed problem is substantially complex in both mathematical and computational aspect, because of the fact that the objects to be reconstructed are both three-dimensional and embedded into half-space. Variation born iterative method (VBIM) is as successful as distorted born iterative method (DBIM) that is the most widely used method in the reconstruction of high-contrast objects among Born-based methods. Furthermore, VBIM is much faster than DBIM because it doesn't require a forward problem solution for the calculation of background Green's function in every iteration step, such as DBIM. Various numerical implementations have been performed to reveal the effectiveness of the method and it is observed that the method is very successful in the reconstruction of multiple objects with arbitrary geometry. © 2019 IEEE.Öğe Reconstruction of Two-Dimensional Objects Buried into Three-Part Space with Locally Rough Interfaces via Distorted Born Iterative Method(Emw Publishing, 2019) Altuncu, Yasemin; Durukan, Tulun; Akdogan, Riza ErhanIn this paper, the reconstruction problem of inaccessible objects buried into a three-part space with locally rough interfaces is solved by Distorted Born Iterative Method (DBIM). DBIM requires the calculation of the background electric field and Green's function in every iteration step via the solution of the direct scattering problem. Here, they are calculated numerically by using the buried object approach (BOA) which is very useful in the solutions of the problems including stratified media with locally rough interfaces. Various numerical applications have been performed to demonstrate the applicability and efficiency of the method. The method was found to be very successful in reconstructing moderate contrast objects when they were buried in the middle space. In this case, the method works effectively even if the buried objects and interface roughnesses have complex geometric structures. Moreover, the multiplicity of buried objects has no negative effect on the reconstruction results. Nevertheless, the results of reconstruction deteriorate when objects are buried in the bottom space. However, the accuracies of them are still on an acceptable level in this situation.Öğe Reconstruction of two-dimensional objects buried into three-part space with locally rough interfaces via distorted born iterative method(Electromagnetics Academy, 2019) Altuncu, Yasemin; Durukan, Tulun; Akdogan, Riza ErhanIn this paper, the reconstruction problem of inaccessible objects buried into a three-part space with locally rough interfaces is solved by Distorted Born Iterative Method (DBIM). DBIM requires the calculation of the background electric field and Green’s function in every iteration step via the solution of the direct scattering problem. Here, they are calculated numerically by using the buried object approach (BOA) which is very useful in the solutions of the problems including stratified media with locally rough interfaces. Various numerical applications have been performed to demonstrate the applicability and efficiency of the method. The method was found to be very successful in reconstructing moderate contrast objects when they were buried in the middle space. In this case, the method works effectively even if the buried objects and interface roughnesses have complex geometric structures. Moreover, the multiplicity of buried objects has no negative effect on the reconstruction results. Nevertheless, the results of reconstruction deteriorate when objects are buried in the bottom space. However, the accuracies of them are still on an acceptable level in this situation. © 2019, Electromagnetics Academy. All rights reserved.