射线光学中的洛伦兹群
Lorentz Group in Ray Optics
摘要：
自从爱因斯坦在1905年提出他的狭义相对论以来，已经有将近一百年了。他证明了基本的时空对称性是由洛伦兹群决定的。这组洛伦兹变换不仅适用于狭义相对论，而且构成了光学科学的科学语言。注意，光的相干态和压缩态是洛伦兹群的表示。洛伦兹群也是经典射线光学的基本语言，包括偏振光学、干涉仪、庞加莱球、单透镜光学、多透镜光学、激光腔以及多层光学。
英文摘要：
It has been almost one hundred years since Einstein formulated his special theory of relativity in 1905. He showed that the basic space-time symmetry is dictated by the Lorentz group. It is shown that this group of Lorentz transformations is not only applicable to special relativity, but also constitutes the scientific language for optical sciences. It is noted that coherent and squeezed states of light are representations of the Lorentz group. The Lorentz group is also the basic underlying language for classical ray optics, including polarization optics, interferometers, the Poincareé sphere, one-lens optics, multi-lens optics, laser cavities, as well multilayer optics.
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