Explore a seminar talk that delves into Synthetic Aperture Radar (SAR) imaging and dynamic reconstructions, bridging the gap between SAR engineers and mathematicians. Learn about the fundamental SAR data model, its underlying assumptions, and image formation methods while examining the challenges posed by moving targets. Discover how 4D tomographic reconstruction techniques can be adapted to focus on along-track target motion, enabling the creation of high-resolution SAR video. The presentation addresses key aspects of the Rich and Nonlinear Tomography programme, fostering collaboration between different disciplines in the field of SAR imaging technology.