中文摘要：

研究了高数值孔径聚焦轴对称偏振光束产生的Gouy相位在理论和应用中的重大意义。用倾斜波近似方法可以得到Gouy相位的解析表达式，但计算较繁琐不易应用。等效焦区长度和等效波长两个概念的引入使Gouy相位的计算变得非常方便，可以近似将Gouy相位看作数值孔径NA的多项式拟合函数。利用该表达式推得的焦点附近不规则的相位分布和用数值计算方法得到的结果非常相近，也验证了倾斜波近似理论的正确性。

英文摘要：

The Gouy phase shift in the focal field of high-NA focused radially polarized beam was investigated in detail. Analytical expression for the Gouy phase shift can be derived using tilted wave interpretation, which provides a reasonable prediction compared to vectorial diffraction numerical simulation. Using this method, irregular wave spacing in the vicinity of the focus can be revealed.