Identification of Inhomogeneities from Far Field Data
نویسنده
چکیده
Inhomogeneous media identification is the problem of determining the physical properties of an unknown inhomogeneity from its response to various interrogating modalities. This response, recorded in measured data, comes as a result of the interaction of the inhomogeneity with an exciting physical field. Inhomogeneous media identification is mathematically modeled as the problem of determining the coefficients of some partial differential equations with initial or boundary data from a knowledge of the solution on the measurement domain.
منابع مشابه
Evaluation of Full scatter convolution algorithm based Treatment Planning System performance in the presence of inhomogeneities using three-dimensional film dosimetry
Introduction: Inclusion of inhomogeneities such as air-filled cavities in the head and neck treatment fields may result in potential dosimetric disagreement which was caused by electronic disequilibrium. Most of treatments planning systems (TPS) are not able to predict dose distribution of inhomogeneous regions accurately. EBT2 films are used frequently in radiotherapy quality ass...
متن کاملRecovering inhomogeneities in a waveguide using eigensystem decomposition
We present an eigensystem decomposition method to recover inhomogeneities in a waveguide from knowledge of the far-field scattered acoustic fields. Due to the particular geometry of the waveguide, which supports only a finite number of propagating modes, the problem of recovering inhomogeneities in a waveguide has a different set of challenges than its corresponding problem in free space. Our m...
متن کاملNumerical methods for locating small dielectric inhomogeneities
We present numerical simulations illustrating the reconstruction of data for electromagnetic inverse problems. Two situations are considered: prescribed electric field and measured magnetic field at the boundary of a medium with cylindrical symmetries, and the analysis of the far field pattern of a scattered field produced by the incidence of an incoming wave on a set of small inhomogeneities. ...
متن کاملA representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
We revisit the asymptotic formulas originally derived in [D.J. Cedio-Fengya, S. Moskow, M.S. Vogelius, Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction, Inverse Problems 14 (1998) 553–595; A. Friedman, M. Vogelius, Identification of small inhomogeneities of extreme conductivity by boundary measurement...
متن کاملAsymptotic Formulas for the Identification of Small Inhomogeneities in a Fluid Medium
We consider a viscous incompressible fluid flow governed by the Stokes system. We assume that a finite number of small inhomogeneities (particles) are immersed in the fluid. The reciprocity gap functional is introduced to describe the boundary data. An asymptotic formula for the reciprocity gap functional is derived. The obtained formulas can form the basis for very effective computational iden...
متن کامل