The quantitive expression of measuring angles and refractive index by circular concentric gratings is derived in this paper and some experiment results are also given,which provide a concise and precise method of measuring angles and refractive index with Moire fringes of circular concentric gratings.

The OTF and PSF of the circular grating optical scanning holography;

Manufacturing circular grating with spatial light modulator s gray-scale mask;

First,the authors established the mathematic model of two concentric-circle gratings,by using a low-pass filter to moiré fringe the authors obtained the real moiré fringe.

In the field of ultra-precision measurement, tiny two-degree-of-freedom error information can be separated from moiré fringe image generated by overlapping a pair of concentric-circle gratings.