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。

This paper has solved the Chester modified heat conduction equation of the different relaxation time τ value under different temperature conditions, different boundary conditions and the different initial conditions by different means of methods. These solutions can help to obtain temperature field of laser thermal effects.

The Fourier equation of heat conduction predicts a paradox that the effect of a thermal impulse (e.g. the thermal effect in pulse laser) in an infinite medium; i.e., a thermal impulse is propagated in an infinite velocity. In order to solve the thermal transport paradox, C. W. Ulbrich and M. Chester have proposed the modification heat conduction equation respectively from different macroscopic viewpoint. This paper derived the modification heat conduction equation according to phonon model and quantum mechanics from microscopic viewpoint.