The research project ADAPTIVES has been
approved for funding by the European Research
Council, through a Starting Independent
Research Grant awarded to Chrysoula Tsogka
Professor at the Dept. of Applied Mathematics,
University of Crete and researcher at IACM/FORTH.
Duration: 5 years.
Waves are been used for the detection and imaging of objects for many years. We all know the radar, which uses electromagnetic waves, the sonar that is based on acoustic waves, and medical ultrasound. In most of these applications the materials encountered in practice are often complex and their properties are not known - and cannot be estimated - in every detail. We, therefore, model the propagation medium as a random process for which we know some statistical properties. Our goal is to solve the imaging problem in a regime where multipathing due to the heterogeneities is important. The challenge is to produce reliable, i.e., statistically stable, results, especially when there is no a priori knowledge about the propagation medium. Recently we have developed a coherent interferometric imaging methodology (CINT) that produces statistically stable results in noisy environments. CINT is designed for imaging with partially coherent array data recorded in richly scattering media. It uses statistical smoothing techniques to obtain results that are independent of the random medium realization. In the project ADAPTIVES we aim to extend this methodology along two complementary directions: novel types of applications (such as underwater acoustics and seismic imaging), and further mathematical and numerical development so as to assess and extend its range of applicability.
PhD and postdoc positions available: The research to be carried out in the project ADAPTIVES needs young researchers to get involved. Requirements are background in and/or an interest in scientific computing, numerical solution of differential equations (in particular wave propagation) and inverse problems. The candidates will be funded by the European Research Council. Applications should comprise a letter of motivation, a CV plus the names and contact information of two individuals who have agreed to send letters of recommendation.