利用涡相照明的无双滞相检索。

IF 1.4 3区 物理与天体物理 Q3 OPTICS
Muskan Kularia, Manidipa Banerjee, Kedar Khare
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引用次数: 0

摘要

由于迭代相位检索算法存在停滞问题,因此从傅立叶变换幅度恢复复值出口波阵面具有挑战性。在各种停滞伪像中,孪生像停滞是最难解决的。直立物体及其倒置和复合共轭孪生体对应相同的傅立叶量级数据,因此同时出现在迭代求解中。我们的研究表明,如果使用电荷-1 涡旋相位的相干光束进行照明,就可以完全消除孪生停滞问题。与通常的平面波照明不同,电荷-1 涡相照明有意在零空间频率区域附近引入一个孤立的零点,而对于大多数自然物体来说,傅里叶空间的最大能量通常都集中在这一区域。据观察,迭代相位检索算法的早期迭代会在该孤立零点附近形成顺时针或逆时针涡旋。一旦解的傅立叶变换在早期迭代中捕捉到这个有意引入的强度零点附近的特定漩涡轮廓,解就会迅速调整到相应的孪生(直立或倒立),进一步的迭代就不会将另一个孪生带入重建中。我们使用著名的混合输入输出(HIO)算法进行的模拟研究表明,当使用涡相照明时,解总是能在几百次迭代内收敛到孪生中的一个。使用顺时针或逆时针旋涡相位作为初始猜测,也会确定性地得到由相应孪生体组成的解。由此得到的解仍有一些微弱的残留假象,可以通过最近引入的复杂性引导方法来解决。最终解中还有一个额外的涡旋阶段,只需将其减去即可得到原始测试对象。这里描述的涡流照明几乎可以保证收敛到无孪生停滞的解决方案,这对于部署基于迭代相位检索算法的实用成像系统具有潜在的价值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Twin-stagnation-free phase retrieval with vortex phase illumination.

The recovery of a complex-valued exit wavefront from its Fourier transform magnitude is challenging due to the stagnation problems associated with iterative phase retrieval algorithms. Among the various stagnation artifacts, the twin-image stagnation is the most difficult to address. The upright object and its inverted and complex-conjugated twin correspond to the identical Fourier magnitude data and hence appear simultaneously in the iterative solution. We show that the twin stagnation problem can be eliminated completely if a coherent beam with charge-1 vortex phase is used for illumination. Unlike the usual plane wave illumination case, a charge-1 vortex illumination intentionally introduces an isolated zero near the zero spatial frequency region, where maximal energy in the Fourier space is usually concentrated for most natural objects. The early iterations of iterative phase retrieval algorithms are observed to develop a clockwise or anti-clockwise vortex in the vicinity of this isolated zero. Once the Fourier transform of the solution latches onto a specific vortex profile in the neighborhood of this intentionally introduced intensity zero in early iterations, the solution quickly adjusts to the corresponding twin (upright or inverted) and further iterations are not observed to bring the other twin into the reconstruction. Our simulation studies with the well-known hybrid input-output (HIO) algorithm show that the solution always converges to one of the twins within a few hundred iterations when vortex phase illumination is used. Using a clockwise or anti-clockwise vortex phase as an initial guess is also seen to deterministically lead to a solution consisting of the corresponding twin. The resultant solution still has some faint residual artifacts that can be addressed via the recently introduced complexity guidance methodology. There is an additional vortex phase in the final solution that can simply be subtracted out to obtain the original test object. The near guaranteed convergence to a twin-stagnation-free solution with vortex illumination as described here is potentially valuable for deploying practical imaging systems that work based on the iterative phase retrieval algorithms.

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来源期刊
CiteScore
3.40
自引率
10.50%
发文量
417
审稿时长
3 months
期刊介绍: The Journal of the Optical Society of America A (JOSA A) is devoted to developments in any field of classical optics, image science, and vision. JOSA A includes original peer-reviewed papers on such topics as: * Atmospheric optics * Clinical vision * Coherence and Statistical Optics * Color * Diffraction and gratings * Image processing * Machine vision * Physiological optics * Polarization * Scattering * Signal processing * Thin films * Visual optics Also: j opt soc am a.
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