Feng S, Winful H G
Opt Lett. 2001 Apr 15;26(8):485-7. doi: 10.1364/ol.26.000485.
We show explicitly that the well-known Gouy phase shift of any focused beam originates from transverse spatial confinement, which, through the uncertainty principle, introduces a spread in the transverse momenta and hence a shift in the expectation value of the axial propagation constant. A general expression is given for the Gouy phase shift in terms of expectation values of the squares of the transverse momenta. Our result also explains the phase shift in front of the Kirchhoff diffraction integral.
我们明确表明，任何聚焦光束著名的古依相移都源于横向空间限制，这通过不确定性原理，在横向动量上引入了一个展宽，进而导致轴向传播常数期望值的偏移。根据横向动量平方的期望值给出了古依相移的一般表达式。我们的结果也解释了基尔霍夫衍射积分前的相移。
