| CPC G01B 9/02015 (2013.01) [G01B 9/02007 (2013.01); G01B 9/02045 (2013.01); G01B 11/02 (2013.01); G01B 2290/30 (2013.01); G01B 2290/70 (2013.01)] | 4 Claims |

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1. A bidirectional Littrow two-degree-of-freedom grating interference measurement device based on double gratings, comprising a light source, a transmission two-dimensional grating, a reflection two-dimensional grating, an X-direction quarter-wave plate, a Y-direction quarter-wave plate, a first optical system, a second optical system, a third optical system, and a fourth optical system, wherein
the light source is a dual-frequency laser configured to generate X-direction measurement laser beams with frequencies f1 and f2 respectively that have mutually perpendicular polarization states and Y-direction measurement laser beams with frequencies f1 and f2 respectively that have mutually perpendicular polarization states;
+1st order diffracted light obtained by vertically injecting the X-direction measurement laser beam into the transmission two-dimensional grating passes through the X-direction quarter-wave plate and is incident on the reflection two-dimensional grating at a Littrow angle to obtain new +1st order diffracted light, and the new +1st order diffracted light passes through the X-direction quarter-wave plate and returns to the transmission two-dimensional grating in a direction of the +1st order diffracted light to obtain 0th order diffracted light and −2nd order diffracted light, so that horizontal polarization light having the frequency f1 in the 0th order diffracted light and the −2nd order diffracted light generated by the new +1st order diffracted light is converted into vertical polarization light, and vertical polarization light having the frequency f2 in the 0th order diffracted light and the −2nd order diffracted light generated by the new +1st order diffracted light is converted into horizontal polarization light;
−1st order diffracted light obtained by vertically injecting the X-direction measurement laser beam into the transmission two-dimensional grating is incident on the reflection two-dimensional grating at a Littrow angle to obtain new −1st order diffracted light, and the new −1st order diffracted light returns to the transmission two-dimensional grating in a direction of the −1st order diffracted light to obtain 0th order diffracted light and −2nd order diffracted light after diffraction by the transmission two-dimensional grating;
the first optical system is configured to filter out a stable interference signal of a horizontal component in the −2nd order diffracted light generated by the new +1st order diffracted light and the 0th order diffracted light generated by the new −1st order diffracted light, so that diffracted light of a vertical component having the frequency f2 and diffracted light of the vertical component having the frequency f1 form a stable interference;
the second optical system is configured to filter out a stable interference signal of a vertical component in the −2nd order diffracted light generated by the new −1st order diffracted light and the 0th order diffracted light generated by the new +1st order diffracted light, so that diffracted light of a horizontal component having the frequency f2 and diffracted light of the horizontal component having the frequency f1 form a stable interference; and
a stable interference signal obtained in the first optical system and a stable interference signal obtained in the second optical system are processed by a photodetector to obtain a displacement change of the reflection two-dimensional grating in the X direction.
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