标题： 琼斯矩阵形式作为洛伦兹群的表示 显示英文标题

标题： Jones-matrix Formalism as a Representation of the Lorentz Group

摘要： 表明偏振光学的二乘二琼斯矩阵形式是洛伦兹群的六参数二乘二表示。 衰减和相位移滤波器分别由三维旋转子群和三维洛伦兹群表示，用于二维空间和一维时间维度。 注意到洛伦兹群还有一个类似于二维欧几里得群的三维子群。 详细讨论了具有这种欧几里得对称性的可能光学滤波器。 还表明，琼斯矩阵形式可以在洛伦兹群表示框架内扩展到某些非正交偏振坐标系。 显示英文摘要

摘要： It is shown that the two-by-two Jones-matrix formalism for polarization optics is a six-parameter two-by-two representation of the Lorentz group. The attenuation and phase-shift filters are represented respectively by the three-parameter rotation subgroup and the three-parameter Lorentz group for two spatial and one time dimensions. It is noted that the Lorentz group has another three-parameter subgroup which is like the two-dimensional Euclidean group. Possible optical filters having this Euclidean symmetry are discussed in detail. It is shown also that the Jones-matrix formalism can be extended to some of the non-orthogonal polarization coordinate systems within the framework of the Lorentz-group representation.