“…22,23 In most cases, nonlinear optical materials such as thin coating 24 and nanoparticles 25 are used for making the periodic structures. Due to the simplicity and the importance as the foundation to understand other nonlinear effects, second harmonic generation 19,21,24,28 and third harmonic generation 22,23,26,28 are the focus of the majority of the research works in this area. In addition, the generation of higher order harmonics such as fourth harmonic generation 27,28 has also been discussed.…”