Optical induction of two-dimensional aperiodic photonic structures

Light propagation in structured photonic media covers numerous fascinating wave phenomena, including localization and transport effects. Recently, the focus turned towards deterministic aperiodic structures, showing distinctive band gap properties. To experimentally study the effects occurring in these refractive index structures, optical induction turned out to be the method of choice for fabrication. Using this method, the structural complexity of the achievable structures continuously increased from 2d periodic to quasi-periodic 3d lattices over the years. Although the concepts to realize multiperiodic superlattices as well as defect structures further enhance the flexibility of the optical induction method, these approaches are based on extended nondiffracting beams. Thus, they are not capable to fabricate 2d deterministic aperiodic structures. In this contribution, we present a new holographic optical induction method based on spatio-temporal multiplexing of nondiffracting Bessel beams. This technique allows us to realize a huge number of two-dimensional photonic structures, including deterministic aperiodic golden-angle Vogel spirals, Fibonacci lattices, and many more.