从实值电磁场数据中有效检索相位信息
Efficient retrieval of phase information from real-valued electromagnetic field data
摘要：
虽然解析计算可以访问复值电磁场数据，允许对包络和相位信息的琐碎访问，但大多数数字代码使用实值表示。这通常会提高性能并减少内存占用，尽管代价是：在实值情况下，提取包络和相位信息要困难得多，如果反向传播波在空间上叠加，则更是如此。本文提出了一种分析实值电磁场数据的新方法。我们表明，通过结合在一个单一的时间点的实值电场和磁场，我们可以直接重建的电磁场的全部信息的形式的复值谱系数（$\vec{k}$ -空间）在一个低的计算成本，只有三个傅立叶变换。该方法允许准确区分反向传播的平面波以及它们的复谱系数，即，e.计算光谱振幅和光谱相位。从这些振幅，复值电磁场和复值矢量势可以计算，从其中关于时空相位和振幅的信息是容易获得的。此外，复场允许有效的真空传播，从而允许从近场数据计算远场数据或边界输入数据。新方法的实现是PostPic的一部分，PostPic是一个用Python编程语言编写的数据分析工具包。
英文摘要：
While analytic calculations may give access to complex-valued electromagnetic field data which allow trivial access to envelope and phase information, the majority of numeric codes uses a real-valued represantation. This typically increases the performance and reduces the memory footprint, albeit at a price: In the real-valued case it is much more difficult to extract envelope and phase information, even more so if counter propagating waves are spatially superposed. A novel method for the analysis of real-valued electromagnetic field data is presented in this paper. We show that, by combining the real-valued electric and magnetic field at a single point in time, we can directly reconstruct the full information of the electromagnetic fields in the form of complex-valued spectral coefficients ($\vec{k}$-space) at a low computational cost of only three Fourier transforms. The method allows for counter propagating plane waves to be accurately distinguished as well as their complex spectral coefficients, i.\,e. spectral amplitudes and spectral phase to be calculated. From these amplitudes, the complex-valued electromagnetic fields and also the complex-valued vector potential can be calculated from which information about spatiotemporal phase and amplitude is readily available. Additionally, the complex fields allow for efficient vacuum propagation allowing to calculate far field data or boundary input data from near field data. An implementation of the new method is available as part of PostPic, a data analysis toolkit written in the Python programming language.
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