We present large enhancement of the nonlinear wave mixing process (third-harmonic generation) in photonic-band-gap materials made of negative and positive index media, at the band edge of the zero- $\overline{n}$ band gap. Incorporating metamaterial-based, electromagnetically induced transparency (EIT)--like resonance in the nonlinear layer leads to unprecedented line narrowing of the generated third harmonic. This scheme permits the mapping of the narrow EIT resonance at the fundamental frequency to the generated third-harmonic frequency with even narrower line shape.We present large enhancement of the nonlinear wave mixing process (third-harmonic generation) in photonic-band-gap materials made of negative and positive index media, at the band edge of the zero-$\overline{n}$ band gap. Incorporating metamaterial-based, electromagnetically induced transparency (EIT)--like resonance in the nonlinear layer leads to unprecedented line narrowing of the generated third harmonic. This scheme permits the mapping of the narrow EIT resonance at the fundamental frequency to the generated third-harmonic frequency with even narrower line shape.

Physical Review AOct 31, 20131 citation

We present large enhancement of the nonlinear wave mixing process (third-harmonic generation) in photonic-band-gap materials made of negative and positive index media, at the band edge of the zero-

\overline{n}

band gap. Incorporating metamaterial-based, electromagnetically induced transparency (EIT)--like resonance in the nonlinear layer leads to unprecedented line narrowing of the generated third harmonic. This scheme permits the mapping of the narrow EIT resonance at the fundamental frequency to the generated third-harmonic frequency with even narrower line shape.