Resonators with manipulated diffraction due to two- and three-dimensional intracavity photonic crystals

We theoretically and experimentally investigate the light dynamics in plane-mirror Fabry-Perot resonators filled by two-dimensional (2D) and three-dimensional (3D) photonic crystals. It has been predicted that diffraction of such resonators can be manipulated [K. Staliunas, M. Peckus, V. Sirutkaitis, Phys. Rev. A 76, 051803(R) (2007)]; we study the phenomenon here in detail. In particular, we show the hyperbolic shape angular transmission profiles in case of 2D photonic structure (obtained by one-dimensional modulation of the surface of the mirrors), and quadratic shape transmission profiles in case of 3D photonic structure (obtained by 2D modulation of the mirrors). We develop the theoretical-numerical description of the system using the scattering matrix method and compare numerical results following from the model with the experimental ones.