电磁场的射线-波对偶性：经典矢量成像的Feynman路径积分方法
Ray-Wave Duality of Electromagnetic Fields: A Feynman Path integral Approach to Classical Vectorial Imaging
摘要：
我们考虑如何矢量方面（偏振）的光传播可以实现，其起源，在费曼路径积分的方法。该方案的一个关键部分是将标准光程长度积分从标量推广到矩阵量。沿着射线的重新参数化不变性允许协变公式，其中传播可以沿着一般曲线发生。一般的梯度指数背景被用来证明该计划。这提供了一个经典的成像光学的偏振方面可能会迅速变化，不能忽略的描述。
英文摘要：
We consider how vectorial aspects (polarization) of light propagation can be implemented, and its origin, within a Feynman path integral approach. A key part of this scheme is in generalising the standard optical path length integral from a scalar to a matrix quantity. Reparametrization invariance along the rays allows a covariant formulation where propagation can take place along a general curve. A general gradient index background is used to demonstrate the scheme. This affords a description of classical imaging optics when the polarization aspects may be varying rapidly and cannot be neglected.
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