Electromagnetic wave diffraction by periodic planar metamaterials with nonlinear constituents

Abstract

We present a theory which explains how to achieve an enhancement of nonlinear effects in a thin layer of nonlinear medium by involving a planar periodic structure specially designed to bear a trapped-mode resonant regime. In particular, the possibility of a nonlinear thin metamaterial to produce the bistable response at a relatively low input intensity due to a large quality factor of the trapped-mode resonance is shown. Also a simple design of an all-dielectric low-loss silicon-based planar metamaterial which can provide an extremely sharp resonant reflection and transmission is proposed. The designed metamaterial is envisioned for aggregating with a pumped active medium to achieve an enhancement of quantum dots luminescence and to produce an all-dielectric analog of a 'lasing spaser'.

18 pages, 13 figures

References in corpus (6)

• Multi-fold Enhancement of Quantum Dot Luminescence in a Plasmonic Metamaterial
• Plasmonically induced transparent magnetic resonance in a metallic metamaterial composed of asymmetric double bars
• Giant red shift and enhancement of resonant light confinement in planar array of dielectric bars
• Optical bistability involving planar metamaterial with broken structural symmetry
• All-optical switching in metamaterial with high structural symmetry
• Enhancement of absorption bistability by trapping light planar metamaterial

Cited by in corpus (4)

• All-dielectric resonant metasurfaces with a strong toroidal response
• Low Threshold Bound State in the Continuum Lasers in Hybrid Lattice Resonance Metasurfaces
• High-quality trapped modes in all-dielectric metamaterials
• Homogeneous enhancement of electric near-field in all-dielectric metasurfaces composed of cluster-based unit cells