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An optimization scheme for the measurement of liquid jet parameters with rainbow refractometry based on Debye theory

Song, Feihu, Xu, Chuanlong, Wang, Shimin, Yan, Yong (2013) An optimization scheme for the measurement of liquid jet parameters with rainbow refractometry based on Debye theory. Optics Communications, 305 . pp. 204-211. ISSN 0030-4018. (doi:10.1016/j.optcom.2013.04.027) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://dx.doi.org/10.1016/j.optcom.2013.04.027

Abstract

Rainbow refractometry can be used to measure the radius and refractive index of a liquid jet. However, most existing algorithms are based on Airy theory or empirical formula from the angular spectrum of the rainbow. To apply the Airy formula, some characteristic information relevant to the radius and refractive index should be properly extracted from the rainbow. This is challenging for the liquid jet radius changing in a wide range because the rainbow structure, especially the ripple structure, is affected by the noise and the cone effect of a practical liquid jet. In this paper, a novel optimization scheme for the measurement of liquid jet parameters based on Debye theory (p=2) is proposed. First, an objective function is designed to quantify the deviation between the simulated rainbow with Debye theory (p=2) and the rainbow captured by a CCD camera. The liquid jet parameters are then determined by optimizing the objective function value. Experiments and numerical simulations are performed to evaluate the effectiveness of the scheme. Results indicate that the relative error of the radius is less than 12% and the absolute error of the refractive index is better than 1.1×10?3 when the real radius of the liquid jet is 25 ?m. The measurement accuracy increases with the radius.

Item Type: Article
DOI/Identification number: 10.1016/j.optcom.2013.04.027
Uncontrolled keywords: Rainbow refractometry; Refractive index; Radius; Debye theory; Liquid jet
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 02 Dec 2013 14:16 UTC
Last Modified: 29 May 2019 11:32 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/37099 (The current URI for this page, for reference purposes)
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