Optical interferometry technology is one of the most accurate and effective detection methods. For the refractive index distribution measurement of G-Lens, we propose a method to calculate the order of circular interference fringes produced by a Mach-Zehnder interference optical system. This method is not only limited to the refractive index measurement, but also suitable for applications which is measured via interference method. For example, the surface error measurement of optical components. Several specific works had been performed such as effective area masking, image preprocessing, fringe center relocation, central-radiation fringe fractional-level calculation and fitting of circular optical interference fringe images. Furthermore, the two-dimensional distribution of cross-sections and three-dimensional of fringe orders are also obtained. In addition, we propose a new primary and secondary location method for the gray value peaks and valleys of noisy interference fringes, and on the basis of this location, the relative gray fringe fractional-level calculation is performed, which effectively avoids uneven illumination, noise, and the influence of unfavorable factors such as poor circularity and over-density of large-order fringes on the fringe calculation. For the work content of G-Lens refractive index distribution measurement, the algorithm has good repeatability accuracy, and the specific value is about 0.3‰.
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