Classical ray and wave optics share a common structure with quantum mechanics. Much of this results from the representations given to abstract operators. It is possible to build a mathematical bridge that allows one to transform back and forth between the ray and wave picture. This is given by the Feynman path integral representation. The map between the ray and wave description is given in terms of a sum over histories integration. In particular, it allows for the computation of wave phenomena by the summation of multiple ray paths of a phase function connected to the classical optical path length.

中文翻译：

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经典光学中的射线-波对偶性：穿过费曼桥

经典的射线和波光学与量子力学具有相同的结构。这在很大程度上是由于给予抽象运算符的表示所致。可以建立一个数学桥梁，使人们可以在射线和波像之间来回转换。这是通过费曼路径积分表示法给出的。射线和波浪描述之间的映射是根据历史积分的总和给出的。特别地，它允许通过求和连接到经典光路长度的相位函数的多条光路的总和来计算波现象。