Inclusion of the tunneling phase shift for interferometric particle imaging for bubble sizing--颗粒学报PARTICUOLOGY

Liu, X., Shen, J., Gong, P., & Yu, H. (2021). Inclusion of the tunneling phase shift for interferometric particle imaging for bubble sizing. Particuology, 54, 50-57. https://doi.org/10.1016/j.partic.2020.05.004

Inclusion of the tunneling phase shift for interferometric particle imaging for bubble sizing

Xiang Liu, Jianqi Shen ^*, Peng Gong, Haitao Yu

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

10.1016/j.partic.2020.05.004

Volume 54, February 2021, Pages 50-57

Received 30 March 2020, Revised 15 May 2020, Accepted 21 May 2020, Available online 22 June 2020, Version of Record 28 January 2021.

E-mail: jqshenk@usst.edu.cn

Highlights

• The tunneling phase shift is included in a model of fringe spacing.

• The bubble size is underestimated if the tunneling phase shift is not included.

• This modification is important for measurements of air bubbles <60 μm.

Abstract

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.

Graphical abstract

Keywords

Interferometric particle imaging; Bubbles; Total internal reflection; Tunneling phase shift

文章导读