Farriss Wesley E, Fienup James R, Malhotra Tanya, Vamivakas A Nick
Opt Express. 2018 Feb 5;26(3):2191-2202. doi: 10.1364/OE.26.002191.
Modal analysis of an optical field via generalized interferometry (GI) is a novel technique that treats said field as a linear superposition of transverse modes and recovers the amplitudes of modal weighting coefficients. We use phase retrieval by nonlinear optimization to recover the phase of these modal weighting coefficients. Information diversity increases the robustness of the algorithm by better constraining the solution. Additionally, multiple sets of random starting phase values assist the algorithm in overcoming local minima. The algorithm was able to recover nearly all coefficient phases for simulated fields consisting of up to 21 superpositioned Hermite Gaussian modes from simulated data and proved to be resilient to shot noise.
通过广义干涉测量法（GI）对光场进行模态分析是一种新技术，该技术将所述光场视为横向模式的线性叠加，并恢复模态加权系数的幅度。我们使用非线性优化的相位恢复方法来恢复这些模态加权系数的相位。信息多样性通过更好地约束解来提高算法的鲁棒性。此外，多组随机起始相位值有助于算法克服局部最小值。该算法能够从模拟数据中恢复由多达21个叠加的厄米高斯模式组成的模拟光场的几乎所有系数相位，并且证明对散粒噪声具有弹性。
