用维格纳函数研究部分相干辐射的传输
Propagation of partially coherent radiation using Wigner functions
摘要：
来自同步加速器光源的波荡器辐射必须沿着光束线从光源传输到样品。部分相干光子束可以使用维格纳函数在相空间中表示，并且其传输可以使用与粒子束传输中所熟悉的一些类似的技术。我们描述的情况下，光束线是由线性聚焦和散焦部分，以及孔径的过程。我们提出了一个紧凑的表示涉及线性变换和卷积的光束线地图。我们创建了一个1：1的成像系统（4f系统），在像平面上有一个单缝，并观察其下游的辐射。我们沿着这个样品光束线传播高斯光束和波荡器辐射，从当前和未来的超低发射度光源中提取参数。我们推导出一个解析表达式的部分相干高斯的情况下，包括通过一个单一的狭缝孔径。我们基准维格纳函数计算的解析表达式和部分相干计算的同步辐射车间（SRW）代码。
英文摘要：
Undulator radiation from synchrotron light sources must be transported down a beamline from the source to the sample. A partially coherent photon beam may be represented in phase space using a Wigner function, and its transport may use some similar techniques as is familiar in particle beam transport. We describe this process in the case that the beamline is composed of linear focusing and defocusing sections as well as apertures. We present a compact representation of the beamline map involving linear transformations and convolutions. We create a 1:1 imaging system (4f system) with a single slit on the image plane and observe the radiation downstream to it. We propagate a Gaussian beam and undulator radiation down this sample beamline, drawing parameters from current and future ultra low emittance light sources. We derive an analytic expression for the partially coherent Gaussian case including passage through a single slit aperture. We benchmark the Wigner function calculation against the analytical expression and a partially coherent calculation in the Synchrotron Radiation Workshop (SRW) code.
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