Efficient Second-Harmonic Generation in an Embedded ABC-Metamaterial Waveguide

ABC-metamaterial, structured by repeating atomic layer deposition of three dielectric material-stack layers, opens the new possibility for creating second-order nonlinearity in CMOS-compatible photonics platforms. Here, the design and simulation of Si
₃
N
₄
waveguide with embedded ABC-metamaterial for generating second-harmonic (SH) of 1.55
${\mu }\text{m}$
wave is presented. High-overlap-integral modal phase matching between the fundamental mode of the fundamental frequency and second-order mode of the SH is attained by properly engineering the waveguide geometry. Numerical analyzes show an absolute efficiency of 0.013% for 10 mW pump power in the straight waveguide which can be enhanced to at least 13.4% by employing a microring resonator.