Abstract
In this paper, a highly accurate correction method for errors caused by spherical aberrations in long focal length measurements based on divergent light and Talbot interferometry is presented. Simulations and analysis indicate that spherical aberrations are key factors affecting the precision of moiré fringe angles, which are ignored in most methods yet. Moiré fringes are transformed into frequency domains, and a new method based on weighted averages is proposed to improve the precision of measurements. The modified measurement results of 13,500 mm focal length lens reveal that the relative accuracy is better than 0.007%. Comparing the modified relative accuracy with that obtained in interferometry measurement, the proposed method is proved to be highly effective and reliable.
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