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Discrete Inverse Transformation for Eddy Current Tomography

100%
Nowak P., Urbański M., Raback P., Ruokolainen J., Kachniarz M., Szewczyk R.
Acta Physica Polonica A
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2018
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vol. 133
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issue 3
701-703
EN
Paper presents results of a discrete inverse tomography transformation on exemplary results from eddy current tomography setup. Eddy current phenomena is highly non-linear and measurement results are ill-posed function of distribution of physical properties of the matter (mostly electrical conductivity and magnetic permeability). Thus the inverse transformation (reconstruction of objects shape) is based on an optimization algorithm in which objects model is described as a discrete array. With the usage of Finite Element Method (FEM) tomography measurement process is reconstructed and modelling results are compared with the measurement.
2
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Inverse Laplace Transform of Some Rational Functions

100%
Wituła R.
Acta Physica Polonica A
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2012
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vol. 122
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issue 5
966-968
EN
In this paper we propose a formula of recurrent nature for calculating the inverse Laplace transforms of some rational functions. The procedure and formulae enabling to determine the values of coefficients of obtained series are presented. Proposed procedure does not require any partial fraction decomposition. Moreover, it is proved that the radius of convergence of the received series (for the respective objective function) is equal to infinity. The proposed formula can find applications in wave optics and acoustics.
3
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Unstable Inverse Heat Transfer Problems in Microelectronics

100%
De Mey G., Bogusławski B., Kos A.
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EN
Inverse heat transfer problems are very important for the thermal testability of integrated circuits. Temperature sensors integrated on the same chip measure in real time the power dissipation in one or more critical heat sources of the circuit in order to prevent overheating. It will be demonstrated that these kinds of problems can give rise to mathematical unstabilities or the ill conditioning of the inverse problem. This statement will be proved with the help of several particular cases.
4
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Resonant Two-Electron Pairs in a Simple Cubic Lattice

75%
Bak M.
|
EN
The properties of resonant two-electron pairs are examined in three-dimensional simple cubic extended Hubbard tUW model, in s- and d- symmetry channels, in the limit of empty lattice. Lattice Green function technique is applied to calculate the scattering amplitude by means of 𝓣 matrix for any energy in the band on ΓR line within the Brillouin zone. The analysis shows the persistence of resonant states even for Coulomb interactions so weak that the equation for the resonant states is not formally fulfilled. The difference in behavior of resonances controlled by on-site and intersite Coulomb interactions is found. The ranges of applicability of approximate formula for the actual position of resonant peak and its width are shown.
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