Enhancement of quantum dot luminescence in all-dielectric metamaterial

We propose a simple design of all-dielectric silicon-based planar metamaterial manifested an extremely sharp resonant reflection and transmission in the wavelength of about 1550 nm due to both low dissipative losses and involving a trapped mode operating method. The quality factor of the resonance exceeds in tens times the quality factor of resonances in known plasmonic structures. The designed metamaterial is envisioned for aggregating with a pumped active medium to achieve an enhancement of luminescence and to produce an all-dielectric analog of a "lasing spaser". We report that an essential enhancement (more than 500 times) of luminescence of layer contained pumped quantum dots may be achieved by using the designed metamaterial. This value exceeds manyfold the known luminescence enhancement by plasmonic planar metamaterials.