The Modeling and Imaging Laboratory is aiming to develop new theories, methods and algorithms for modeling and imaging in 3D complex environments. Our emphasis is on the fast one-way propagation and scattering methods which bridge the gap between high-frequency asymptotic methods (ray theory) and full-wave equation methods. The other focus of our research will be the theory, methods and applications of localized waves with space-angle and time-frequency localizations. Other methods which can provide special solutions for some difficult cases are also under consideration. The cross-breeding of fast one-way propagator (acoustic and elastic) and the theory of localized waves has the potential of revolutionizing modeling and imaging techniques for complex Earth media.