Linear canonical transformation (LCT) provides a generalized and elegant mathematical framework for analyzing the coherence properties of an electromagnetic (EM) beam propagating in quadratic phase systems (QPSs). It is shown that LCT may be used to analyze coherence properties such as generalized Stokes parameters and EM degree of coherence of a partially coherent EM beam propagating through a QPS. We present simulation results of a Gaussian Schell model beam propagating through a Fourier system, fractional Fourier system, and $4f$ imaging system with an aperture and beam relay system.

中文翻译：

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线性典范变换作为分析二次相系统中传播的电磁束相干特性的工具。

线性规范变换（LCT）提供了一个通用且优雅的数学框架，用于分析在二次相系统（QPSs）中传播的电磁（EM）束的相干特性。结果表明，LCT可用于分析相干特性，例如广义Stokes参数和通过QPS传播的部分相干EM光束的EM相干度。我们给出了高斯Schell模型光束通过傅里叶系统，分数傅里叶系统和带有孔径和光束中继系统的$ 4f $成像系统传播的仿真结果。