Goldstein枝切法对存在间断相位缺陷的解缠研究

Goldstein枝切法作为相位解缠中路径积分法的重要算法之一，其解缠结果易受到噪声或间断相位缺陷所引起的残差点影响。为了研究相位间断缺陷对解缠算法的影响，模拟了具有间断相位缺陷的数据，采用Goldstein枝切法进行了系统的解缠研究。重点研究了残差点对枝切线的搜索窗口半径大小的影响，并将解缠相位与真实相位进行了比较。结果表明，在单相位间断和双不相交的相位间断缺陷的情况下，Goldstein枝切法仍然具有较好的解缠效果；对于双交叉相位间断缺陷，Goldstein枝切法在这一局部区域无法得到正确的解缠结果；通过研究枝切线搜索窗口半径对解缠的影响，验证了存在“有效枝切线搜索窗口半径”的结论。此实验结果对于采用或联合采用Goldstein枝切法进行的相位解缠理论研究和应用具有参考价值。

Study on unwrapping of discontinuous phase flaws based on Goldstein branch-cut theory

The Goldstein branch-cut method is a traditional method for phase unwrapping. Its phase unwrapping result is easily affected by phase residues caused by noise and discontinuous phase flaws in practice. To characterize effect of discontinuous phase on unwrapping algorithm, after simulating a data base for discontinuous phase, unwrapping was studied with Goldstein branch-cut phase unwrapping method. The effect of the residual phase on the size of the searching window radius was focused on specifically. The unwrapped phase was compared with the actual phase. The results show that accurate unwrapped phases can be obtained in situations with one and two disjointed discontinuity flaws. Accurate unwrapping phase results cannot be obtained in situations with two crossing phase discontinuous flaws. Good results can not be obtained for two crossing phase discontinuous flaws. Different discontinuous phase flaws have different effective branch cut searching window radius. There is an effective searching window radius for the Goldstein branch-cut approach. Those results can provide reference to research of the phase unwrapping only and jointly with Goldstein branch-cut.