Workshop RNTW01 — RNT in Radar, Astronomy and Geophysics

A large collection of inverse problems involve using waves scattered or emitted from an object to image its interior or to determine some of its material properties. Applications including radar and microwave imaging, astronomy, sonar, ultrasound, and geophysics, may share many characteristics. These applications also cover a spectrum of problems and length scales from low to high frequency, near to far field, static to highly dynamic, and from imaging discrete isolated objects to the interior of a continuously varying medium. Through this spectrum, different computational and theoretical challenges in inverse problems will arise – and understanding the transition through regimes can also provide new insights in and of itself.

This workshop will put a spotlight on the mathematical similarities of Rich and Non-linear Tomography across these applications in order to catalyse rapid development of new tomographic methods. As part of a highly interdisciplinary programme, the aim is for real-world problems in these applications to motivate a breadth of theoretical and practical mathematical research challenges – from microlocal analysis through to Bayesian methods. It will also help to break down communication barriers between disciplines and applications.