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In this work, we present the design and analysis of fiber optic interferometric devices for its application in vibration detection, allowing to create an optical system based on interferometric interactions that can vary the sensitivity through external signals e.g., NLPs (noise-like pulses). The simulation of numerical schemes of the fiber optic interferometer using the MATLAB software is presented, which will allow the development of a first prototype of experimental model. Numerical implementations will be performed in MATLAB using Jones matrices to model the behavior of the fiber optic interferometer. This numerical analysis allows to develop a compact experimental model, capable of varying its transmission, sensitivity and FSR (free spectral range), being able to study the interferometric response to external vibrations and modifying the input parameters, such as power, polarization, and operation range. The input characteristics for the interferometric system can be generated by a fiber optic pulsed laser e.g., F8L (figure eight laser), which can vary its output temporarily, spectrally and in polarization. The complete analysis will allow to propose an all-fiber experimental scheme that is compact and portable compared to conventional interferometric arrays, as are works where arrays of hundreds of meters are implemented, based on the study of fiber optic resonators that improves vibration detection system sensitivity. Subsequently, the first tests were performed using MATLAB functions based on pattern recognition, filtering, and amplification of repetitive signals, which will be experimentally tested in the interferometer in a future work. Finally, potential future applications of this work include detection of vibration anomalies in structures and motors, as well as the detection of sound for integration in specialized medical devices to treat hearing problems.
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