极化元的群论研究
Polarization Elements-A Group Theoretical Study
摘要：
通过偏振元件的群论联系，对影响琼斯矩阵表示的光学器件偏振的偏振元件，按其所具有的本征矢量的类型进行了新的分类。二衰减器和延迟器分别被认为是对应于增强和旋转的元件。除了二衰减器和延迟器之外的均匀元件的结构通过给出对应于这些元件的四元数来识别。简并偏振元件的集合与洛伦兹群的所谓“零”元件相一致。奇异极化元素在其更说明性的米勒矩阵表示，最后一类特殊的奇异米勒矩阵的特征结构进行了研究。
英文摘要：
The Classification of Polarization elements, the polarization affecting optical devices which have a Jones matrix representation, according to the types of eigenvectors they possess, is given a new visit through the Group-theoretical connection of polarization elements. The diattenuators and retarders are recognized as the elements corresponding to boosts and rotations respectively. The structure of homogeneous elements other than diattenuators and retarders are identified by giving the quaternion corresponding to these elements. The set of degenerate polarization elements is identified with the so called `null' elements of the Lorentz Group. Singular polarization elements are examined in their more illustrative Mueller matrix representation and finally the eigenstructure of a special class of singular Mueller matrices is studied.
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