PIERS 2017 in St Petersburg
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PIERS
Progress In Electromagnetics Research Symposium 

PIERS 2017 in St Petersburg, Russia, 22-25 May, 2017

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PIERS2017 St Petersburg Focus/Special Sessions  
Mathematical Models and Algorithms for Coupled Physics Electromagnetic Imaging
Organized by Prof. Alex Timonov (University of South Carolina Upstate)
 
Session's Information:
Traditionally, boundary data has been the main information used to image the electrical conductivity of the interior of an object. Methods which seek to recover the electrical conductivity inside the object from measurements of voltages/currents at the boundary have been known as Electrical Impedance Tomography (EIT). Due to the high contrast in the electrical conductivity of biological tissues, a renewed interest in EIT started in the middle of the eighties geared by the applications in medical imaging, which soon exploded in developments on both the mathematics and engineering. It is by now well understood that the EIT problem is severely ill-posed and it possesses a logarithmic-type stability, which cannot be in general improved. The stability of such a type is a manifestation of the low sensitivity of the trace of the voltage potential at the boundary to variations of the electrical conductivity inside the object. As a result, the resolution of EIT is very low. To increase sensitivity, new methods have been developed that are based on interior measurements. In some cases, such data can be obtained by coupling the primary physical field, which is the electric field, with other fields, such that the interactions between them provide useful interior functionals. Note that in some cases the latter may lead to several different inverse problems This section focuses on the problem of recovering the electrical conductivity from the interior data subject to some boundary conditions.
 
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