Fernández Ariel, Llaguno Juan M, Silva Alejandro, Alonso Julia R
J Opt Soc Am A Opt Image Sci Vis. 2024 Mar 1;41(3):A55-A62. doi: 10.1364/JOSAA.507385.
The transport of intensity equation (TIE) allows to recover the phase of a microscopy sample from differently focused intensity measures along the axial direction of its optical field. In the present work, we propose a cost-effective technique for snapshot phase retrieval with TIE. The optics of a commercially available camera is replaced with a doublet system consisting of a microscope objective and a lenslet array with an extra lens mask attached to it. The system allows to obtain, in real-time and with no mechanical shift of either the sample or the sensor, the in-focus as well as a defocused image of the sample. From these two sub-aperture images, the intensity derivative term in TIE can then be approximated after image rectification. Phase is then retrieved for static as well as dynamic samples over the common view area. Validation experiments are presented.
强度传输方程（TIE）能够根据沿其光场轴向不同聚焦程度的强度测量值来恢复显微镜样本的相位。在本工作中，我们提出了一种利用TIE进行快照相位检索的经济高效技术。将市售相机的光学部件替换为一个由显微镜物镜和一个带有附加透镜掩膜的微透镜阵列组成的双合透镜系统。该系统能够在样本和传感器均无机械移动的情况下实时获取样本的聚焦图像和离焦图像。从这两幅子孔径图像中，经过图像校正后便可近似得到TIE中的强度导数项。然后针对公共视场区域内的静态和动态样本进行相位检索。文中给出了验证实验。
