Transport and localization in random media: theory and applications

Imaging in Random Media

George Papanicolaou

Stanford University


An ambient medium that is inhomogeneous will make imaging of an object in it difficult if not impossible. I will review the role of inhomogeneity in imaging and how it can be addressed, starting with very weak inhomogeneities and correlation based imaging and advancing into more complex ambient media where considerable phase randomization occurs so that phase reconstruction is needed. A variety of mathematical methods can be used in this context and I will review them as well, up to some recent advances that exploit illumination redundancy and holography.