TITLE:
Droplet Characterization Based on the Simulated Secondary Rainbows
AUTHORS:
Wenting Wang, Jiayi Wang, Yide Zhang
KEYWORDS:
Particles Characterization, Rainbow Pattern, Generalized Lorenz-Mie Theory
JOURNAL NAME:
Optics and Photonics Journal,
Vol.11 No.6,
June
11,
2021
ABSTRACT: The droplet size, size distribution, refractive index, and temperature can be measured simultaneously by the rainbow technique. In the present work, the rainbow scattering diagram for a spherical droplet in the secondary rainbow region is simulated by the use of the generalized Lorenz-Mie theory. For achieving high spatial resolution in denser droplet sprays, a focused Gaussian beam is used. For droplet characterization, different inversion algorithms are investigated, which includes trough-trough (θmin1 and θmin2) method and inflection-inflection (θinf1 and θinf2) method. For the trough-trough algorithm, the absolute error of the refractive index is between −6.4 × 10−4 and 1.7 × 10−4, and the error of the droplet radius is only between −0.55% and 1.77%. For the inflection-inflection algorithm, the maximum absolute error of the inverted refractive index is less than −1.1 × 10−3. The error of the droplet radius is between −0.75% and 5.67%.