Titlebook: Inverse Problems in Medical Imaging and Nondestructive Testing; Proceedings of the C Heinz W. Engl,Alfred K. Louis,William Rundell Conferen

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Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction,e.g. parameter identification from boundary measurements (see e.g. [36]), inverse scattering (see e.g. [12], [13], [14]), or phase reconstruction (see e.g. [40]). The mathematical formulation of inverse problems usually gives rise to ill-posed problems in Hadamard’s sense, where especially the lack

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Qualitative Methods in Inverse Scattering Theory,lving the inverse scattering problem that arises in such applications. This is due to the fact that in order to achieve satisfactory resolution and sufficient penetration of the wave into the material it is often necessary to use frequencies in the resonance region. In this case the inverse scatteri

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Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data,three different levels. Consider the scattering of a plane wave ..(.) = .. (with wave number . > 0 and direction . of propagation) by an obstacle ., that is, a bounded domain . ⊂ IR. with a connected boundary .. Then the total wave . is given by the superposition . = .. + .. of the incident wave ..

deciduous

Applied Inversion in Nondestructive Testing,dwidth of complexity: Material characterization should be ., thus accounting for nonlinearities of the underlying physical phenomena as well as for the nonlinearity of the inverse problem, whereas defect imaging might already be sufficiently solved if the location, the size and the orientation of a

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An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency,n . in .., where . satisfies the Sommerfeld radiation condition. The number . > 0 is the frequency of the incident plane wave with direction .. We assume . = 0 outside Ω. . is measured for a single fixed frequency . and all ..

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