Electromagnetics - Modelling, Simulation, Control and Industrial Applications - Abstract
Potthast, Roland
Roland Potthast Dynamic Inverse Scattering Inverse scattering theory traditionally focussed on time-harmonic approaches and static objects. However, for many applications it is of high interest to take into account the dynamic nature of the objects under consideration. Using measurement data in the framework of dynamical systems is often referred to as "data assimilation" - another term for dynamic inverse problems. In our talk, we will survey tools which have been developed in data assimilation for dynamic systems over 40 years, including three-dimensional variational assimilation (3dVar), four- dimensional variational assimilation (4dVar) and the Kalman Filter. We will link these to inverse scattering theory in two ways. First, we employ a recent sampling method örthogonality sampling" (see Potthast or Griesmaier, also denoted as "direct sampling" by Zou, Ito and Bangti) integrated with dynamic movement and shape changes of some scatterer. Second, we will discuss the use of inverse scattering within a high-dimensional numerical weather prediction model.