用振动的数值补偿提高同轴全息的分辨率
Resolution enhancement in in-line holography by numerical compensation of vibrations
摘要：
光学系统部件的机械振动是相干成像系统中干涉图样模糊的原因之一。这个问题在全息术中特别重要，其中再现物体的分辨率取决于全息图的有效尺寸，即干涉图案的范围和干涉条纹的对比度。讨论了振动、全息对比度和再现物体之间的数学关系。我们展示了如何振动可以后过滤出全息图或从重建的对象假设高斯分布的振动。我们还提供了一个数值例子的方向运动模糊的补偿。我们证明了我们的方法，光的光学和电子全息图，收购与两个，平面波以及球面波。作为这样的全息图去模糊的结果，再现物体的分辨率被增强了几乎2倍。我们相信，我们的方法开辟了一个新的场地后，实验分辨率增强在线全息适应丰富的数据库/目录的运动去模糊算法开发的摄影和图像恢复应用。
英文摘要：
Mechanical vibrations of components of the optical system is one of the sources of blurring of interference pattern in coherent imaging systems. The problem is especially important in holography where the resolution of the reconstructed objects depends on the effective size of the hologram, that is on the extent of the interference pattern, and on the contrast of the interference fringes. We discuss the mathematical relation between the vibrations, the hologram contrast and the reconstructed object. We show how vibrations can be post-filtered out from the hologram or from the reconstructed object assuming a Gaussian distribution of the vibrations. We also provide a numerical example of compensation for directional motion blur. We demonstrate our approach for light optical and electron holograms, acquired with both, plane- as well as spherical-waves. As a result of such hologram deblurring, the resolution of the reconstructed objects is enhanced by almost a factor of 2. We believe that our approach opens up a new venue of post-experimental resolution enhancement in in-line holography by adapting the rich database/catalogue of motion deblurring algorithms developed for photography and image restoration applications.
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