利用传输矩阵法研究了液晶染料填充一维阶梯型Double-period第四代准周期结构局域模的光学特性。计算了增益前局域模与外加电场方向和正入射波方向间夹角θ的变化关系,分析了增益系数与局域模透射率的关系以及局域模在空间位置的光场分布,讨论了增益后的局域模透射率与光场强度的关系。结果表明:随着夹角θ的增大,光子禁带变宽并且只向短波方向拓展;随着夹角θ的增大,增益前的局域模向短波方向移动,透射率逐渐增大,且局域模波长的调控量为23.7nm。随着增益系数的增大,透射率先增大后减小。光场分布呈现局域现象,当夹角θ=43.4°,波长λ=595.0nm时,光强达到6个数量级。增益后的局域模透射率与光场强度呈正比关系。 The optical properties of one-dimensional double-period fourth-generation quasi-periodic local area modes filled with liquid crystal dye were studied by using transfer matrix method. The relationship between the angle θ between the local mode and the applied electric field and the direction of the incident incident wave is calculated. The relationship between the gain coefficient and the local mode transmissivity and the light field distribution of the local mode in the spatial position are analyzed. The gain After the local mode transmittance and the relationship between the intensity of the light field. The results show that with the increase of the included angle θ, the photonic band gap broadens and expands to the shortwave only. As the angle θ increases, the local mode before gain moves to the shortwave and transmissivity increases gradually, And the local mode wavelength control is 23.7nm. As the gain coefficient increases, the transmittance first increases and then decreases. The distribution of light field shows a local phenomenon. When the included angle θ = 43.4 ° and the wavelength λ = 595.0 nm, the light intensity reaches 6 orders of magnitude. The local mode transmittance after gain is proportional to the intensity of the light field.