光学非均匀复合材料的多元滞后器模型

A MULTI-RETARDATOR MODEL FOR OPTICALLY HET-EROGENEOUS COMPOSITE MATERIALS

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。

This paper presents a multi-retardation model for the comple birefringentphenomenon of an optically heterogeneous fiber reinforced composits.A multi-retar-dator matrix,and dedued from which,a group of light intensity,azimuth and re-tardator formula are given.0 Secondly,a equivalent theorem of the multi-retardatorsto two-retardadors is proved,which in turn leads to a point that the later should beconsidered as a kind of statistic equivalence of the former.The multi-retardator model can be explained briefly as follows.After havingpassed accross the beterogeneous medium,the emerging polarized light is of complexwave front and can be divided into a set of plane waves with different spatial fre-quencies,each of them being composed of a pair of orthogonal polarized rays.Thecoherence of all these waves at any point of any front screen prependicular to theoriginal incident beam can be represented mathermatically by the addition of theirJones vectors.Therefore,a multi retardator matrix resulting from the addition ofJones matrixes which are corresponding to each pairs of orthogonal polarized beamwith different spatial frequency is used to characterize the birefringent behaviors ofoptically heterogeneous composites.