This work introduces a mathematical model for designing optical fiber linear and angular displacement sensors (OFLADS) capable of simultaneously measuring the distance and angle of a finite reflective target such as a mirror. Recently, fiber optical sensors have found applications across industries like medical, military, or aerospace. The advantages of fiber optics, including low manufacturing cost, high sensitivity, and immunity to electromagnetic interference, make them suitable for extreme environments. Reflective fiber sensors, which modulate reflected light intensity to measure displacement, have a simple structure and a wide measurement range. Currently, attention is directed towards OFDS. We developed the mathematical model for the OFLADS design and performed a detailed simulation analysis, including the angular and linear displacement between the reflective target and the OFLADS tip, as well as the light intensity distribution profile. We also validated experimentally the proposed mathematical model with custom-made OFLADS designs.
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