Modulation function of a reflective fiber sensor with random fiber arrangement based on a pair model

The possibility of applying the modulation function derived from the pair model of a reflective fiber sensor to the actual sensors composed of a fiber bundle is analyzed, and the related methods are proposed. For sensors with a random fiber arrangement, a concept of average distance between all the emitting and receiving fibers is introduced, and the average fiber distance in a sensor probe with circular cross section is calculated using the numerical integration method. Problems that emerge when the distance between the probe tip and the reflecting surface is small are considered, and the methods of calculating the modulation function for these situations are proposed.