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A uniqueness result for the inverse transmission problem
 INTERNAT. JOUR. OF APPL. MATH
, 2000
"... The problem of inverse scattering of a plane acoustic wave by a penetrable scatterer with the transmission boundary condition is studied. It is proved that, if the constant exterior wavenumber is known, then the shape of the obstacle and the constant transmission parameter and the constant interior ..."
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Cited by 8 (5 self)
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The problem of inverse scattering of a plane acoustic wave by a penetrable scatterer with the transmission boundary condition is studied. It is proved that, if the constant exterior wavenumber is known, then the shape of the obstacle and the constant transmission parameter and the constant interior wavenumber are uniquely determined by the scattering amplitude known at the constant exterior wavenumber for all directions of the incident and scattered waves.
2000] Identification of multilayered particles from scattering data by a clustering method
 J. Comp. Phys
"... A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the scatterer in a nonBorn region of scattering. Local deterministic ..."
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Cited by 4 (4 self)
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A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the scatterer in a nonBorn region of scattering. Local deterministic and global probabilistic minimization methods are studied. A special Reduction Procedure is introduced to reduce the dimensionality of the minimization space. Deep’s and the Multilevel SingleLinkage methods for global minimization are used for the solution of the inverse problem. Their performance is analyzed for various multilayer configurations. Key Words: inverse scattering, global minimization, clustering method 1.
Direct and inverse obstacle scattering problems in a piecewise homogeneous medium
 SIAM J. Appl. Math
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Optimization methods in direct and inverse scattering
 JEYAKUMAR, A.M. RUBINOV (EDS.), CONTINUOUS OPTIMIZATION: CURRENT TRENDS AND MODERN APPLICATIONS
, 2005
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UNIQUENESS IN INVERSE TRANSMISSION SCATTERING PROBLEMS FOR MULTILAYERED OBSTACLES
"... Abstract. Assume a timeharmonic electromagnetic wave is scattered by an infinitely long cylindrical conductor surrounded by an unknown piecewise homogeneous medium remaining invariant along the cylinder axis. We prove that, in TM mode, the far field patterns for all incident and observation direct ..."
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Abstract. Assume a timeharmonic electromagnetic wave is scattered by an infinitely long cylindrical conductor surrounded by an unknown piecewise homogeneous medium remaining invariant along the cylinder axis. We prove that, in TM mode, the far field patterns for all incident and observation directions at a fixed frequency uniquely determine the unknown surrounding medium as well as the shape of the cylindrical conductor. A similar uniqueness result is obtained for the scattering by multilayered penetrable periodic structures in a piecewise homogeneous medium. The periodic interfaces and refractive indices can be uniquely identified from the near field data measured only above (or below) the structure for all quasiperiodic incident waves with a fixed phaseshift. The proofs are based on the singularity of the Green function to a two dimensional elliptic equation with piecewise constant leading coefficients. 1. Introduction. The
2010 Inverse Scattering of Electromagnetic Waves by Multilayered Structures
 Uniqueness in TM Mode WIAS preprint 1549
"... Key words and phrases. Inverse electromagnetic scattering, uniqueness, piecewise homogeneous medium, TM mode, periodic structure. ..."
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Cited by 1 (1 self)
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Key words and phrases. Inverse electromagnetic scattering, uniqueness, piecewise homogeneous medium, TM mode, periodic structure.
TM Electromagnetic Scattering from 2D Multilayered Dielectric Bodies – Numerical Solution
"... An integral equation approach is derived for an electromagnetic scattering from an M arbitrary multilayered dielectric domain. The integral equation is valid for the 2D and 3D Helmholtz equation. Here we show the numerical solution for the 2D case by using the Nyström method. For validating the meth ..."
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An integral equation approach is derived for an electromagnetic scattering from an M arbitrary multilayered dielectric domain. The integral equation is valid for the 2D and 3D Helmholtz equation. Here we show the numerical solution for the 2D case by using the Nyström method. For validating the method we develop a mode matching method for the case when the domains are multilayered circular cylinders and give numerical results for illustrating the algorithm.