“…With the miniaturization of equipment and components in the industry, microscale stages have been a powerful tool and widely used in the space-limited and small-cavity fields of micro-electro-mechanical systems (MEMS) [ 1 , 2 , 3 ], precision optics [ 4 , 5 , 6 ], microscale mechanical testing [ 7 ], semiconductor manufacturing [ 8 ], and so on. To ensure the high-accuracy motion of these microscale stages, high-precision, cost-effective, and easy-mounted displacement measurement sensors are necessary and needed [ 9 , 10 , 11 ].…”