Abstract

Up to now the application of rainbow thermometry has been limited to particle systems possessing a uniform refractive index. This is mostly due to the absence of an appropriate data inversion algorithm that takes into account the presence of a refractive index gradient. In this paper, for the first time to our knowledge, exploiting a generalization of the Airy theory, a data inversion algorithm for a single droplet, presenting a parabolic refractive index gradient, is proposed. This data inversion algorithm is used to compute the diameter and the refractive index at the core and at the surface of a simulated burning droplet. The results are compared to the analytical solutions showing a satisfactory agreement.

© 2005 Optical Society of America

Global rainbow thermometry: improvements in the data inversion algorithm and validation technique in liquid-liquid suspension

Maria Rosaria Vetrano, Jeronimus Petrus Antonius Johannes van Beeck, and Michel Léon Riethmuller
Appl. Opt. 43(18) 3600-3607 (2004)

Composition measurements of binary mixture droplets by rainbow refractometry

J. Wilms and B. Weigand
Appl. Opt. 46(11) 2109-2118 (2007)

Global rainbow thermometry assessed by Airy and Lorenz-Mie theories and compared with phase Doppler anemometry

Jeronimus Petrus Antonius Johannes van Beeck, Thomas Grosges, and Maria Grazia De Giorgi
Appl. Opt. 42(19) 4016-4022 (2003)

One-dimensional rainbow technique using Fourier domain filtering

Yingchun Wu, Jantarat Promvongsa, Xuecheng Wu, Kefa Cen, Gerard Grehan, and Sawitree Saengkaew
Opt. Express 23(23) 30545-30556 (2015)

Global rainbow thermometry for droplet-temperature measurement

J. P. A. J. van Beeck, D. Giannoulis, L. Zimmer, and M. L. Riethmuller
Opt. Lett. 24(23) 1696-1698 (1999)