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Moiré fringes of elongated circular gratings to precisely measure the linear displacements are presented. The moving direction of a grating can be easily determined and the moving displacement can be measured within the accuracy of 1/10 pitch of the grating by using moiré fringes of elongated circular gratings.
Jong Sup Song
"Precise measurement of linear displacement by moiré fringes of elongated circular gratings", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 2778F4 (1 September 1996); https://doi.org/10.1117/12.2316233
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Jong Sup Song, "Precise measurement of linear displacement by moire fringes of elongated circular gratings," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 2778F4 (1 September 1996); https://doi.org/10.1117/12.2316233