Organizers of this minisymposium are
The study of wave phenomena is an important area of scientific research with many applications. This minisymposium will focus on wave scattering and propagation in the context of a diverse array of inverse problems, including non-destructive testing, communications and signal processing theory, geophysical exploration, and hardware security. Loosely speaking, the goal of each application is to identify unknown physical properties from indirect measurements of some wave phenomenon. Inverse problems are solved by answering important mathematical questions such as uniqueness and existence of solutions, and the continuity of these solutions with respect to measurements. Their solution also involves developing computational algorithms to reconstruct hidden shapes and estimate unknown application parameters.
The presentations in this minisymposium will include details about each application and the mathematical tools used in their solution. The speakers will include well-known experts in fields such as functional analysis, the theories of differential and integral equations, and asymptotic analysis. Speakers will discuss the computational algorithms used to solve each inverse problem, which are developed using techniques from numerical analysis, optimization theory, and signal processing. The minisymposium will provide a forum to exchange ideas about novel approaches to these important problems and to discuss similarities in how problems are solved in different application areas.