Reconstruction of Fabry–Perot cavity interferometer nanometer micro-displacement based on Hilbert transform
Hongwei Liang, Yu Sun, Zhen Huang, Chunlei Jiang, Zihua Zhang, Lingling Kan
Abstract
A novel reconstruction method of nanometer micro-displacement of Fabry-Perot (F-P) interference is proposed in this study. Hilbert transforms are performed for F-P interference fringes, and the obtained signal performs tangent operation with the original signal. Finally, the validity of the proposed algorithm and the structure are verified by simulation and several experimental measurements for vibration. Results from the experiments show that the maximum relative error is 4.9%.
Topics & Concepts
Fabry–Pérot interferometerOpticsInterferometryHilbert transformInterference (communication)Displacement (psychology)SIGNAL (programming language)TangentPhysicsMathematicsComputer scienceLaserTelecommunicationsGeometrySpectral densityPsychologyChannel (broadcasting)PsychotherapistProgramming languageAdvanced Measurement and Metrology TechniquesAdvanced Fiber Optic SensorsAdvanced Fiber Laser Technologies