A study of vibration system characteristics based on laser self-mixing interference effect

For removing the limitations of traditional theoretical model and measurement technology of vibration system characteristics, a new vibration system extreme points (VSEP) model based on laser self-mixing interference (SMI) effect is proposed. The VSEP can be applied to study vibration systems due to compact, effective, and low cost. This paper derives the VSEP model from Lang-Kobayashi (L-K) rate equations and modifies the simplified half-cycle extreme points formula by using Monte Carlo stochastic simulation method. Finally, amplitude-frequency response curve which ω0 is 1.18595 × 103 rad, δ is 16.2460 s−2 and the piezoelectric coefficient of piezoelectric transducer which d33 is 0.66034 nm/V have been obtained by combining the modified VSEP model and SMI measurement method.