Full 2-D photonic bandgaps in silica/air structures

Photonic bandgaps of conformally coated structures

Polymeric molds of the layer-by-layer photonic crystal can be economically synthesized with a microtransfer molding technique. The refractive indices of these molds are low, preventing formation of a photonic bandgap. We find that such molds can be conformally coated with higher-index material. Photonic band calculations find structures in which conformally coated layer-by-layer molds have comp...

Role of photonic bandgaps in polarization-independent grating waveguide structures.

Polarization independence in a one-dimensional resonant grating waveguide structure involves the simultaneous excitation of two guided modes propagating in different directions. Possible simultaneous excitations occur when the two excited guided modes have either the same polarization, i.e., TE-TE (transverse electric) or TM-TM (transverse magnetic), or different polarizations, i.e., TE-TM. Sim...

2 6 A pr 2 01 7 Complete photonic bandgaps in supercell photonic crystals

We develop a class of supercell photonic crystals supporting complete photonic bandgaps based on breaking spatial symmetries of the underlying primitive photonic crystal. One member of this class based on a two-dimensional honeycomb structure supports a complete bandgap for an indexcontrast ratio as low as nhigh/nlow = 2.1, making this the first such 2D photonic crystal to support a complete ba...

Maximizing bandgaps in two-dimensional photonic crystals: a variational algorithm

We present an algorithm for the maximization of photonic bandgaps in two-dimensional crystals. Once the translational symmetries of the underlying structure have been imposed, our algorithm finds a global maximal (and complete, if one exists) bandgap. Additionally, we prove two remarkable results related to maximal bandgaps: the so-called ‘maximum contrast’ rule, and about the location in the B...

Single-Photon Polarization Controlled Traversal Times through Photonic Bandgaps of Chiral Liquid Crystal Structures