非均匀非线性波导中光脉冲的传播由(2+1)维变系数非线性薛定谔方程描述。通过引进相似变换，构建出非均匀非线性波导中的准确的二维一阶、二阶线光学畸形波解；深入讨论了它们在周期色散介质中的传播特性；给出了操控它们传播的控制条件。研究发现一阶、二阶光学畸形波解在平面上看具有类似于KP(Kadomfsov-Pefrishvili)方程中线孤子解的特征，因此引进了线光学畸形波的概念。

Optic pulse propagation in inhomogeneous nonlinear waveguides can be described by nonlinear Schrdinger equation with (3+1) dimension variable coefficients. By using similar transformation, exact two-dimensional 1st-order and 2nd-order optical rogue wave solutions is developed. Moreover, the dynamics of the two-dimensional 1st-order and 2nd-order 2-dimensional rogue wave propagation in the waveguides with periodic dispersion are discussed. Finally, manipulating propagate conditions of two-dimensional optical rogue wave is given. Worth while pointing out especially, the formats of both 1-order and 2-order two-dimensional optical rogue wave in transverse section of the media are similar to line soliton of the KP (Kadomfsov-Pefrishvili) equation, so the concept of linear optical rogue wave is proposed in this paper.