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提出了光学非均匀纤维增强复合材料的复杂双折射现象的多元滞后器模型。给出了多元滞后器矩阵以及由此衍生的一组光强、方位角及滞后量公式，给出了多元与二元等效的证明，并认为二元滞后量应被看作是多元滞后量的一种统计等效值。穿过非均匀介质的偏振光具有复杂的波前，可分解为一组具有不同空间频率的平面波，且每一束平面波都由一对正交偏振光组成。所有这些平面波在试样前方的、垂直于原入射光方向的屏幕上任一点的干涉，在数学上可表示为表征这些平面波的Ｊｏｎｅｓ向量的不同权值的叠加。由于每一对正交偏振光均对应于一个光学均匀微元的Ｊｏｎｅｓ矩阵，因而可用由若干这些Ｊｏｎｅｓ矩阵的叠加所得的多元滞后量矩阵来表征光学非均匀纤维增强复合材料的双折射行为。
A multivariate hysteresis model of the complex birefringence of optical inhomogeneous fiber-reinforced composites is proposed. The multivariate hysteresis matrix is given and a set of equations of light intensity, azimuth and hysteresis derived therefrom are given. The proof of multivariate and binary equivalent is given. It is considered that the binary hysteresis should be regarded as multivariate hysteresis A statistical equivalent. Polarized light passing through a non-uniform medium has a complex wavefront that can be decomposed into a group of plane waves with different spatial frequencies, and each plane wave consists of a pair of orthogonal polarized lights. The interference of all these plane waves in front of the sample at any point on the screen perpendicular to the direction of the original incident light can be mathematically expressed as a superposition of different weights of Jones vectors that characterize these plane waves. Since each pair of orthogonal polarizations corresponds to an Jones matrix of optically uniform cells, the multiple lag matrix obtained from the superposition of several of these Jones matrices can be used to characterize the birefringence behavior of optical inhomogeneous fiber-reinforced composites.