Abstract We consider one of the most challenging inverse problems in electromagnetic scattering f... more Abstract We consider one of the most challenging inverse problems in electromagnetic scattering for inhomogeneous medium. We try to reconstruct the elements of a matrix from scattering data in an orthotropic medium. To solve the inverse problem, we implement a simplified Newton method and present some numerical results.
2008 14th Conference on Microwave Techniques, 2008
In this paper we consider the problem of tumor detection in the breast by microwave imaging syste... more In this paper we consider the problem of tumor detection in the breast by microwave imaging system. Our method is based on boundary integral equation and iterative solution of a functional. We describe the method and show numerical results with synthetic data
We discuss the problem of finding a profile or its location for a 2D scattering of electromagneti... more We discuss the problem of finding a profile or its location for a 2D scattering of electromagnetic waves with fixed frequencies in a waveguide multilayered domain. We use the dual space method (DSM) of Colton and Monk. Our goal is to extend our previous work of TE and TM cases to the more complicated case of a waveguide. We emphasize on the frequency range in the reconstruction.
We have derived a new integral equation method for computing the Green's function for 2D ele... more We have derived a new integral equation method for computing the Green's function for 2D electromagnetic wave propagation in a finite size photonic crystal. The method is also used for deriving the multipole expansions for the case of circular cylinders. This derivation is different from the ones in the literature. Our numerical results show an excellent agreement of the two algorithms. In the future we would like to expand the method to the numerical solution of the three-dimensional electromagnetic problem.
We consider one of the most challenging inverse problems in electromagnetic scattering for inhomo... more We consider one of the most challenging inverse problems in electromagnetic scattering for inhomogeneous medium. We try to reconstruct the elements of a matrix from scattering data in an orthotropic medium. To solve the inverse problem, we implement a simplified Newton method and present some numerical results.
Abstract We consider one of the most challenging inverse problems in electromagnetic scattering f... more Abstract We consider one of the most challenging inverse problems in electromagnetic scattering for inhomogeneous medium. We try to reconstruct the elements of a matrix from scattering data in an orthotropic medium. To solve the inverse problem, we implement a simplified Newton method and present some numerical results.
2008 14th Conference on Microwave Techniques, 2008
In this paper we consider the problem of tumor detection in the breast by microwave imaging syste... more In this paper we consider the problem of tumor detection in the breast by microwave imaging system. Our method is based on boundary integral equation and iterative solution of a functional. We describe the method and show numerical results with synthetic data
We discuss the problem of finding a profile or its location for a 2D scattering of electromagneti... more We discuss the problem of finding a profile or its location for a 2D scattering of electromagnetic waves with fixed frequencies in a waveguide multilayered domain. We use the dual space method (DSM) of Colton and Monk. Our goal is to extend our previous work of TE and TM cases to the more complicated case of a waveguide. We emphasize on the frequency range in the reconstruction.
We have derived a new integral equation method for computing the Green's function for 2D ele... more We have derived a new integral equation method for computing the Green's function for 2D electromagnetic wave propagation in a finite size photonic crystal. The method is also used for deriving the multipole expansions for the case of circular cylinders. This derivation is different from the ones in the literature. Our numerical results show an excellent agreement of the two algorithms. In the future we would like to expand the method to the numerical solution of the three-dimensional electromagnetic problem.
We consider one of the most challenging inverse problems in electromagnetic scattering for inhomo... more We consider one of the most challenging inverse problems in electromagnetic scattering for inhomogeneous medium. We try to reconstruct the elements of a matrix from scattering data in an orthotropic medium. To solve the inverse problem, we implement a simplified Newton method and present some numerical results.
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Papers by Fad Seydou