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摘要
Based on the spline method for inverse Abel transformation, this paper presents an improved noise-resistant Abel-transformation algorithm that is particularly useful for the Abel transformation of noisy measurement data. The algorithm is applied to three numerical test cases. The results are compared with the results of a Radon transformation. Due to the known local distribution, the results of the Abel transformation can easily be interpreted and evaluated. A cubic spline is chosen as a test case to show that the code is implemented correctly, since the algorithm is based on such a spline. A Gauss profile is used for testing due to the fact that a line-of-sight integration of a Gaussian profile can be performed analytically. Random noise is added to the signal with a signal-to-noise ratio of 20. An offcentered Gaussian profile and its symmetric are chosen because, in many practical applications (for example, high-enthalpy flows or supersonic nozzle flows), the emission has an offcentered Gaussian-like shape. In this test case, the signal-to-noise ratio is varied to show the noise resistance of the code. In addition, the code is used to Abel transform an emission spectrum acquired in a plasma wind tunnel at the Institute of Space Systems at the University of Stuttgart. The new algorithm shows good results and is used to determine local emissivities along the stagnation line.
- 出版日期2016-4
