“…They have advantages such as a simple structure, low price, high sensitivity, wide frequency band, resistance to influence from oily media, and strong anti-interference ability. They are widely used in measurements of displacement, vibration, rotation speed, thickness of metal films, geometric dimensions of metal components, surface roughness, temperature, and other physical quantities [ 11 , 12 , 13 , 14 , 15 , 16 , 17 ]. They play important roles in industrial production, aerospace manufacturing, the nuclear industry, the petrochemical industry, safety testing, etc.…”