Kou Shan Shan, Sheppard Colin J R
Optical Bioimaging Laboratory, Division of Bioengineering, National University of Singapore, 7 Engineering Drive 1, Singapore 117576, Singapore.
Appl Opt. 2009 Dec 1;48(34):H168-75. doi: 10.1364/AO.48.00H168.
Three-dimensional (3D) imaging by holographic tomography can be performed for a fixed detector through rotation of either the object or the illumination beam. We have previously presented a paraxial treatment to distinguish between these two approaches using transfer function analysis. In particular, the cutoff of the transfer function when rotating the illumination about one axis was calculated analytically using one-dimensional Fourier integration of the defocused transfer function. However, high numerical aperture objectives are usually used in experimental arrangements, and the previous paraxial model is not accurate in this case. Hence, in this analysis, we utilize 3D analytical geometry to derive the imaging behavior for holographic tomography under high-aperture conditions. As expected, the cutoff of the new transfer function leads to a similar peanut shape, but we found that there was no line singularity as was previously observed in the paraxial case. We also present the theory of coherent transfer function for holographic tomography under object rotation while the detector is kept stationary. The derived coherent transfer functions offer quantitative insights into the image formation of a diffractive tomography system.
通过全息层析成像进行的三维（3D）成像可以通过物体或照明光束的旋转，对固定探测器进行。我们之前已经提出了一种傍轴处理方法，通过传递函数分析来区分这两种方法。特别是，当围绕一个轴旋转照明时，传递函数的截止值是通过对散焦传递函数进行一维傅里叶积分解析计算得出的。然而，在实验装置中通常使用高数值孔径物镜，在这种情况下，之前的傍轴模型并不准确。因此，在本分析中，我们利用三维解析几何来推导高孔径条件下全息层析成像的成像行为。正如预期的那样，新传递函数的截止值导致了类似花生的形状，但我们发现不存在傍轴情况下先前观察到的线奇点。我们还提出了在探测器保持静止时物体旋转情况下全息层析成像的相干传递函数理论。所推导的相干传递函数为衍射层析成像系统的图像形成提供了定量见解。
