Abstract Lensless Fourier transform holography has been developed. By treating Bragg diffraction waves as object waves and a transmitted spherical wave as a reference wave, these two waves are interfered and recorded as holograms away from the reciprocal plane. In this method, reconstruction of holograms requires only one Fourier transform. Application of this method to analyze vortex beams worked well and their amplitude and phase distributions were obtained on the reciprocal plane. By combining the conventional holography with the developed lensless Fourier transform holography, we can reconstruct and analyze electron waves from the real to reciprocal space continuously.

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无透镜傅立叶变换电子全息术在涡旋光束分析中的应用

摘要 无透镜傅里叶变换全息术已被开发出来。通过将布拉格衍射波视为物波，将透射球面波视为参考波，这两种波发生干涉，并在远离倒易平面的地方记录为全息图。在这种方法中，全息图的重建只需要一次傅立叶变换。应用该方法对涡旋光束进行分析效果良好，得到了涡旋光束在倒易平面上的振幅和相位分布。通过将传统全息术与发展起来的无透镜傅里叶变换全息术相结合，我们可以连续地重建和分析从实空间到倒易空间的电子波。