Graduate Student Analysis Seminar
The Linear Sampling Method
Location: Hill Grad Student Lounge
Date & time: Monday, 17 October 2016 at 5:00PM - 5:11PM
Matthew Charnley, Rutgers University: The inverse scattering problem, trying to locate an obstacle from either the far-field or near-field scattering data, is a highly non-linear problem. If the wavelength of the source is similar to the dimensions of the obstacle, the problem is inherently non-linear, and neither the high- or low-frequency approximations work. In this talk, I will discuss the so-called linear sampling method' for solving this inverse problem. It reduces the problem to solving a linear integral equation at each point, and using the result to determine whether or not that point is contained in the obstacle. At the end, we will discuss the potential for applying this method in physical situations.'