This project is seeking to explore the effects of two-dimensional (2D) chirality on the light-matter interaction for optical nanomaterials composed entirely of lossless dielectric materials. These novel materials have come to be known as planar chiral materials (PCM). So far we have demonstrated that optical transmission through these PCMs can be polarisation-sensitive and non-reciprocal. The PCM structures we have investigated include diffraction gratings and chiral fractals such as the Peano-Gosper fractal.