Invisible Random Media and Diffraction Gratings That Don’t Diffract

Technical paper presented at the 2017 Defence and Security Doctoral Symposium. Electromagnetic waves propagating through inhomogeneous media will, in general, be scattered in multiple directions. In practical situations this is often undesirable. In this work we discuss ways to mathematically design lossless linear isotropic graded index permittivity profiles in one and two dimensions which suppress scattering. This has some counter-intuitive implications, such as disordered media exhibiting perfect transmission, and periodic gratings which don’t diffract.