Dr. Yuki Arakawa Profile

Dr. Yuki Arakawa

at Tokyo Metropolitan Univ

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Proceedings Article | 22 March 2019 Paper

Three-dimensional temperature distribution estimation around a heat source in water using asymmetric inverse Abel transformation

Mizuki Kyoda, Naoto Kakuta, Kazu Mishiba, Yuki Arakawa, Katsuya Kondo

Proceedings Volume 11049, 110492I (2019) https://doi.org/10.1117/12.2522587

KEYWORDS: Near infrared, Optimization (mathematics), Temperature metrology, Absorption, Visualization, 3D metrology, Optical testing, Cameras

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We propose a new method for measuring three-dimensional (3D) estimation distribution in water around a heat source. By using near infrared (NIR) light, it is possible to measure the total amount of temperature on the optical path. The total amount of temperature obtained is converted into local temperature distribution based on certain assumption. The conventional method estimates temperature distribution using symmetric inverse Abel transformation based on the strong constraint that heat propagates axially symmetrically from the axis passing through the center of the heat source upward. There are two points to be improved in the conventional method. The first point to be improved is that the temperature is assumed to be distributed circularly symmetrically from the axis passing through the heat source center. In fact, in many cases, heat propagates asymmetrically. In this case, the conventional method cannot obtain accurate results. In this paper, we use asymmetric inverse Abel transformation instead symmetric inverse Abel transformation in order to perform asymmetric estimation. The second point to be improved is that the conventional method does not take into consideration that heat propagates smoothly. In this paper, we use an optimization algorithm to smooth adjacent surfaces of the temperature distribution. Experiment showed that the proposed method estimated temperature distribution more accurately than the conventional method.

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