The physical problem is the reconstruction of the parameters of a medium from knowledge of an incident and the corresponding scattered field. Acoustic and electromagnetic fields will be considered. For the acoustic case the differential equation is the wave equation with unknown wave velocity, the medium is inhomogeneous. The inverse electromagnetic problem is the reconstruction of the permittivity and the conductivity of an inhomogeneous medium. The differential equations is the Maxwell equations in the time domain. The results of the research on the acoustic problem was published in an international journal in 2003. The method used for the acoustic case will be generalized to the electromagnetic inverse medium problem.
|Effektiv start/slut dato||19/05/2010 → 31/12/2013|