The second-order nonlinear optical effects that may arise from the interaction between solid materials and light are the current research hotspots in the field of laser technology. In this paper, the nonlinear optical effects and characteristics in solid state physics are taken as the research object, and the finite element analysis technique, which has higher solution accuracy and can get rid of the limitations of actual physical conditions, is adopted as the research tool. The steps of FEA model generation are explained. Then, three common second-order optical frequency conversion phenomena in one-dimensional nonlinear photonic crystals are summarized, and the corresponding phase matching methods are presented. On this basis, the intrinsic physical mechanisms and processes of various nonlinear optical effects in the optoelectronic integration platform (SOI optical waveguide) are discussed. The theoretical modeling framework of various nonlinear optical effects in different solid-state physical materials is thus formed. With the technical support of the above analytical methods and theoretical models, a mode-locked fiber laser is designed for pulsed laser applications based on the nonlinear optical characteristics of the solid-state physical material graphyne. The laser was tested experimentally for 10h and the output power was kept at 2.31mW with good stability.
