Tomioka Satoshi, Miyamoto Naoki, Yamauchi Yuji, Matsumoto Yutaka, Heshmat Samia
Appl Opt. 2023 Oct 10;62(29):7549-7559. doi: 10.1364/AO.500453.
Although a lateral-shear interferometer is robust against optical component vibrations, its interferogram provides information about differential wavefronts rather than the wavefronts themselves, resulting in the loss of specific frequency components. Previous studies have addressed this limitation by measuring four interferograms with different shear amounts to accurately restore the two-dimensional wavefront. This study proposes a technique that employs spectral interpolation to reduce the number of required interferograms. The proposed approach introduces an origin-shift technique for accurate spectral interpolation, which in turn is implemented by combining two methods: natural extension and least-squares determination of ambiguities in uniform biases. Numerical simulations confirmed that the proposed method accurately restored a two-dimensional wavefront from just two interferograms, thereby indicating its potential to address the limitations of the lateral-shear interferometer.
尽管横向剪切干涉仪对光学元件的振动具有鲁棒性，但其干涉图提供的是关于差分波前的信息而非波前本身，导致特定频率分量的丢失。先前的研究通过测量具有不同剪切量的四个干涉图来解决这一限制，以准确恢复二维波前。本研究提出一种采用频谱插值来减少所需干涉图数量的技术。所提出的方法引入了一种用于精确频谱插值的原点偏移技术，该技术通过结合两种方法来实现：自然扩展和均匀偏差中模糊度的最小二乘确定。数值模拟证实，所提出的方法仅从两个干涉图就能准确恢复二维波前，从而表明其有潜力解决横向剪切干涉仪的局限性。
