Theory Of Photonic Crystals Research Articles

Self-consistent spectrum of photonic crystals containing non-linear optical materials

In this communication, we extend the theory of photonic crystals to account for the influence of non-linear materials and in particular, for the dependence of the photonic band edges on the intensity level of transiting electromagnetic fields. The non-linear band structure problem is solved as a converging sequence of ordinary, linear, band structure calculations, reminiscent of the self-consistent field approach for electronic crystal band structures in quantum chemistry. These computations suggest that the adaptation of the gap location and width to the occupation of one of the photon modes could be used for light-controlled adjustment of transmission spectra.

Mean-field theory of two-dimensional metallic photonic crystals

Metallic photonic crystals have gaps starting from the null frequency. They can be used as antenna substrates. Using two computer codes based on rigorous scattering theories, we investigate the properties of nondoped and doped two-dimensional metallic photonic crystals. We show numerically that such a structure can simulate a material that has a plasmon frequency in the microwave domain. Below this frequency the crystal is opaque and acts as a good reflector. These calculations confirm both a conjecture made by specialists in solid-state physics and mathematical considerations developed by specialists in limit analysis.