Yu, H., Shen, J. and Wei, Y. (2008) Geometrical Optics Approximation of Light Scattering by Large Air Bubbles. Particuology, 6, 340-346.
https://doi.org/10.1016/j.partic.2008.07.003

has been cited by the following article:

• TITLE: Scattering by Large Bubbles: Correction for Debye Coefficient at a Small Number of Sub-Waves

  AUTHORS: Zetian Liu

  KEYWORDS: Debye Series Expansion, Mie Theory, Bubble, Forward Scattered Light Intensity

  JOURNAL NAME: Optics and Photonics Journal, Vol.12 No.4, April 18, 2022

  ABSTRACT: I found that when the Debye theory calculates the far-field scattered light intensity of bubbles, the forward scattered light intensity is quite different from the result calculated by the Mie theory due to the convergence problem, so the expression of the Debye coefficient has been revised. I derived the Debye reflectance and transmittance according to the physical meaning of Debye theory and compared them with Fresnel’s formula. I modified the Debye coefficient expressions for bubbles based on the differences between the Debye reflectance and transmittance from the Fresnel formula. Finally, compared with the far-field scattered light intensity calculated by the original Debye theory, the far-field scattered light intensity calculated based on the modified Debye coefficient can obtain more accurate forward scattered light intensity with fewer sub-waves.