给出了任意坐标系下非圆正规光纤随传输距离z指数变化的一般解 ,它具有exp{i( β +ΔβV)z}E0 (x ,y)的形式 ,而V是由主轴偏角θ惟一确定的矩阵 ,称为主轴矩阵 .还给出了相应的亥姆霍兹方程 ,并应用于研究有微小变形的二层弱导非圆光纤 ,和解释光纤纵向不均匀性对双折射的抑制效应 . The general solution to the exponential variation of the noncircular regular fiber with respect to the transmission distance z under arbitrary coordinate system is given. It has the form of exp {i (β + ΔβV) z} E0 (x, y) The only deterministic matrix, called the principal axis matrix, is also given for the corresponding Helmholtz equation and for the study of two-layer, weakly-ducting, non-circular optical fibers with small deformations, and to explain the suppression of birefringence by longitudinal inhomogeneities in the fiber Effect.