WANG Xiulin,XIONG Yanbin,XU Huizhen,QIU Lirong,LI Zhen,HUANG Wencai.Laser self-mixing interferometer with scalable fringe precision based on phase multiplication algorithm[J].Optoelectronics Letters,2021,17(11):665-668 Laser self-mixing interferometer with scalable fringe precision based on phase multiplication algorithm Author Name Affiliation WANG Xiulin  Department of Physics, Jimei University, Xiamen 361021, China  XIONG Yanbin  Department of Electronics Engineering, Xiamen University, Xiamen 361005, China  XU Huizhen  Department of Physics, Jimei University, Xiamen 361021, China  QIU Lirong  Department of Electronics Engineering, Xiamen University, Xiamen 361005, China  LI Zhen  Department of Electronics Engineering, Xiamen University, Xiamen 361005, China  HUANG Wencai  Department of Electronics Engineering, Xiamen University, Xiamen 361005, China  Abstract:        In this paper, we present a phase multiplication algorithm (PMA) to obtain scalable fringe precision in laser self-mixing interferometer under a weak feedback regime. Merely by applying the double angle formula on the self-mixing signal multiple times, the continuously improved fringe precision will be obtained. Theoretical analysis shows that the precision of the fringe could be improved to λ/2n+1. The validity of the proposed method is demonstrated by means of simulated SMI signals and confirmed by experiments under different amplitudes. A fringe precision of λ/128 at a sampling rate of 500 kS/s has been achieved after doing 6th the PMA. Finally, an amplitude of 50 nm has been proved to be measurable and the absolute error is 3.07 nm, which is within the theoretical error range. The proposed method for vibration measurement has the advantage of high accuracy and reliable without adding any additional optical elements in the optical path, thus it will play an important role in nanoscale measurement field. Hits: 583 Download times: 4 View Full Text    Download reader