The interferometric particle imaging technique makes use of the angular oscillations of the scattered light in the forward direction for droplet or bubble sizing. The out-of-focus image consists of fringes, the spacing of which reflects the interference between the surface-reflected light and the twofold-refracted light. Total internal reflection occurs when the incident light hits the bubble at a large incident angle. The tunneling phase shift is not included in the geometric optics approximation, which leads to a deviation from Mie theory. In this work, we modified the formula for describing the fringe spacing by including the tunneling phase shift of total internal reflection. Numerical analysis and experiments showed that the modification is effective for the measurement of bubbles smaller than 60 μm.

干涉粒子成像技术利用散射光在向前方向上的角振荡来调整液滴或气泡的大小。散焦图像由条纹组成，这些条纹的间距反映了表面反射光和两倍折射光之间的干涉。当入射光以较大的入射角撞击气泡时，会发生全内反射。隧道相移不包括在几何光学近似中，这导致与米氏理论的偏离。在这项工作中，我们通过包括全内反射的隧穿相移来修改了描述条纹间距的公式。数值分析和实验表明，这种改进对于测量小于60μm的气泡是有效的 。