The course focuses on applying linear systems analysis to the propagation of light waves. Contents begin with a review of Electromagnetic theory of diffraction and transitions to Fourier Optics for a scalar-wave treatment of propagation, diffraction, and image formation with coherent and incoherent light. In addition to problems in imaging, the course makes connections to a selected number of topics in optics, where the mathematics of wave phenomena plays a central role. Examples include propagation of light in multilayer films and meta-surfaces, non-diffracting beams, Fabry-Perrot cavities, and angular momentum of light. Areas of application include modern imaging, display, and beam shaping technologies. Not offered 2022-23.