Abstract: In order to solve the influence of material surface structure of photon propagation hard computational problem,using Quasi Monte Carlo algorithm. First light absorption analysis of nonlinear material;followed by periodic modulation of the refractive index of the spatial distribution of the left-handed material,so that it does not have a periodic structure; finally established the Quasi Monte Carlo model. The experimental simulation of incident light tends to infinity the existence of nonlinear excitation state absorption phenomenon,left-handed materials in the vicinity of the center frequency and the odd times frequency transmittance is equal to zero,the forbidden band,and disappeared in the even number times of the fundamental frequency at the photonic band gap,Quasi Monte Carlo algorithm calculation error is smaller,less processing time.