论文标题
从Feynman的量子电动力学方法中收集的某些光学系统行为的见解
Insights into the behavior of certain optical systems gleaned from Feynman's approach to quantum electrodynamics
论文作者
论文摘要
理查德·费曼（Richard Feynman）的路径积分方法基于以下基本假设：从一个点A开始并到达B点B的系统将所有可能的路径从A到B采取所有可能的路径，每个路径都会贡献其自己的（复杂）概率幅度。然后，所有这些路径上振幅的总和产生的总概率幅度是，从A开始的系统将最终出现在B。我们将Feynman的方法应用于几种实践意义的光学系统，并讨论该方法的细微差别以及预测的结果同意或不同意经典光学理论的结果。 Examples include the properties of beam-splitters, passage of single photons through Mach-Zehnder and Sagnac interferometers, electric and magnetic dipole scattering, reciprocity, time-reversal symmetry, the optical theorem, the Ewald-Oseen extinction theorem, far field diffraction, and the two-photon interference phenomenon known as the Hong-Ou-Mandel effect.
Richard Feynman's method of path integrals is based on the fundamental assumption that a system starting at a point A and arriving at a point B takes all possible paths from A to B, with each path contributing its own (complex) probability amplitude. The sum of the amplitudes over all these paths then yields the overall probability amplitude that the system starting at A would end up at B. We apply Feynman's method to several optical systems of practical interest and discuss the nuances of the method as well as instances where the predicted outcomes agree or disagree with those of classical optical theory. Examples include the properties of beam-splitters, passage of single photons through Mach-Zehnder and Sagnac interferometers, electric and magnetic dipole scattering, reciprocity, time-reversal symmetry, the optical theorem, the Ewald-Oseen extinction theorem, far field diffraction, and the two-photon interference phenomenon known as the Hong-Ou-Mandel effect.
