A new positioning technique for an optical fiber on a glass substrate is presented. In the manufacturing process of optical communication devices, the fibers must be positioned precisely on glass substrates. Since the fiber is slender and flexible, the fiber deflects by the friction force from the substrate when the fiber is moved on the substrate. In this paper, first, a positioning method when the friction force is known is derived based on a one-degree-of-freedom model of a sliding optical fiber. Then, a positioning method when the friction force is not known is derived by modifying the method for the case of known friction. Finally, the validity of the theory is verified by experiment and simulation.
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