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In this work, a novel fringe double scheme with a Fabry-Pérot (F-P) cavity is proposed for self-mixing interferometry based on the narrow transmission spectrum mapping. While the laser beam with self-mixing interference (SMI) propagates through the F-P cavity with the narrow transmission spectrum, the SMI fringe doubles as the optical frequency modulation caused by SMI sweeps the peak of the transmission spectrum of the F-P cavity completely. The doubled SMI signal is very suitable for displacement reconstruction with fringe counting and
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