We study wave propagation in a two-dimensional photonic lattice with focusing Kerr nonlinearity, and report on the existence of various nonlinear localized structures in the form of fundamental, dipole, and vortex solitons. First, the linear bandgap structure induced by the two-dimensional photonic crystal is determined, and solitons are found to exist in the photonic bandgap. Next, structures ...

The fluorescence intensity and quadrature spectra from a two-level atom embedded in a photonic bandgap crystal and resonantly driven by a classical pump light are calculated. The non-Markovian nature of the problem caused by the non-uniform distribution of the photonic density of states is handled by linearizing the generalized optical Bloch equations with the Liouville operator expansion. Unli...

Three-dimensional photonic-bandgap crystals are used to design and fabricate uniquely directional sources and receivers. By utilizing the resonances of a Fabry–Perot cavity formed with photonic-bandgap crystals, we were able to create exceptionally directional sources by placing the sources within such a cavity. Very good agreement between finite-difference time-domain calculations and the expe...

Based on the scalar Helmholtz equation and the finite-difference approximation, we formulate a matrix eigenvalue problem for the calculation of propagation constants, β(ω), in micro-structured optical fibres. The method is applied to index-guiding fibres as well as air-core photonic bandgap fibres, and in both cases qualitatively correct results are found. The strength of this approach lies in ...

Silver iodide metaphosphate glasses of the xAgI + (1-x)AgPO₃ family are embedded inside the air capillaries of a commercial silica photonic crystal fiber (PCF) by means of vacuum-assisted infiltration technique. In this paper, we report on tuning the photonic bandgap (PBG) guidance characteristics of the fabricated all-glass photonic bandgap fibers, by varying the composition of the fast-ion-co...

Photonic crystals areapowerful tool for themanipulationofoptical dispersion and density of states, and have thus been used in applications from photon generation to quantum sensing with nitrogen vacancy centres and atoms. The unique control providedby thesemediamakes themabeautiful, if unexplored, playground for strong-coupling quantum electrodynamics, where a single, highly nonlinear emitter h...

We present the results of z-scan studies carried out on photonic crystals and microcavities made of Bi:YIG, showing the enhancement of light self-action in the vicinity of the microcavity mode and the wavelength-dependent intensity localization in certain type layers at the longwavelength edge of the photonic bandgap.

We demonstrated lasing in two-dimensional trivalent network structures with short-range order. Despite the lack of translational and rotational symmetries, such structures possess a large isotropic photonic bandgap. Different from those of a photonic crystal, the band-edge modes are spatially localized and have high quality factor.

Photonic bandgap (PBG) antennas consist of printed elements on perforated (usually periodic) substrates and have shown improved performance over uniform substrates. More specifically, PBGs can increase gain and bandwidth and reduce loss. However, design approaches for these antennas have yet to be developed and furthermore there is great interest for a better understanding of bandgap structures...

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