Adaptation of the Fourier-Hankel method for deflection tomographic reconstruction of axisymmetric field

摘要

In this work, we describe an adaptation of Fourier-Hankel method to Abel inversion for the deflection tomographic reconstruction of axisymmetric temperature field. This technique is compared with existing methods to test the accuracy and error propagation using simulated Moire stripes of natural convection flow above a heated horizontal disk in air. Simpson's 1/3rd rule and one-point and two-point formulas are used in this comparison. The results showed that the proposed technique for Abel inversion is accurate and has the powerful capacity to control the smoothing degree of noise in the inversion process.