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Method of extraction of the Mueller-Jones part out of an experimental Mueller matrix

机译:从实验Mueller矩阵中提取Mueller-Jones零件的方法

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Abstract: Properly measured experimental Mueller matrix contains complete information on depolarization, anisotropy properties of studied object and on value of isotropic change of probated radiation intensity by studied object as well. They know that Jones matrix contains complete information on value of isotropic change of probated radiation intensity and on anisotropy properties of studied object. Thus, in the case of absent of depolarization and measurement errors reducing to existence of, so called, overpolarization there exist a one-to-one correspondence between Mueller and Jones matrix. Mueller matrix will then be called a Mueller-Jones matrix. The possibility of extraction of Mueller-Jones part out of any experimental Mueller matrix is extremely important because of following. First, it allows us to obtain everything about depolarization properties of studied object directly. Depolarization is very informative 'object' and now, in the majority, one knows little about its nature and methods of its complete description. Second, one gets the possibility to operate with correspondent Jones matrix to analyze of which there exist the powerful methods such as solving of the spectral problem and application of the decomposition theorem formerly proved by the present authors. The distinctive feature of the method proposed here is that it allows us in the best way to take into consideration the important fact that far from all elements of initial Mueller matrix contains information on depolarization. !21
机译:摘要:正确测量的实验穆勒矩阵包含关于去极化,被研究物体的各向异性和被研究物体的辐射强度各向同性变化值的完整信息。他们知道琼斯矩阵包含有关缓和辐射强度的各向同性变化的值以及所研究对象的各向异性特性的完整信息。因此,在没有去极化的情况下,测量误差减小到所谓的过极化的存在,在Mueller和Jones矩阵之间存在一一对应的关系。 Mueller矩阵将被称为Mueller-Jones矩阵。由于以下原因,从任何实验Mueller矩阵中提取Mueller-Jones零件的可能性非常重要。首先,它使我们能够直接获得有关被研究对象的去极化特性的所有信息。去极化是非常有用的“对象”,现在,在大多数情况下,人们对它的性质和完整描述的方法知之甚少。其次,人们有可能用对应的琼斯矩阵进行运算,以分析其中存在强大的方法,如解决谱问题和应用分解定理的方法,这些方法是作者先前证明的。这里提出的方法的独特之处在于,它使我们能够以最佳方式考虑一个重要事实,即远离初始Mueller矩阵的所有元素都包含有关去极化的信息。 !21

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