Lissajous figures in the application of micro-vibration measurement

Research on homodyne interferometric angle measurement based on ellipse fitting

“…The system used a PZT driver to drive the mirror to be measured [5], generating dynamic interference fringes. The ellipse fitting algorithm [6] was[XM1] combined with theoretical derivation to measure the two-dimensional tilt angle. The angle measurement results were compared with the results of the autocollimator to verify the feasibility of the angle measurement method.…”

Lissajous-like figures with triangular and square waves

“…Using this technique the speed of sound or light may be obtained by studying the phase difference between a direct modulated signal and another one which has traveled a precise distance [3,4] or measure phase delays between currents and voltages among components on an RLC circuit [5]. There are also recent research applications of Lissajous figures as, for instance, commensurateness and phase between quantities relevant to helicopter flight [6], light polarization structures created by using second-harmonic generation from lasers [7], Michelson interferometry to measure micro-vibration displacements [8], oscillatory deformation in strongly nonlinear materials [9] and satellite trajectories around Lagrange points in the outer space [10].…”

Real-time monitoring of structural vibration using spectral-domain optical coherence tomography

“…However, these methods require direct contact with the sample and this may limit their applications. Recently, vibration and deformation have been successfully characterised using various non-contact optical interferometers techniques [7][8][9][10][11][12]. Generally, the displacement is obtained from the phase change of the interferometric patterns, providing extremely high depth resolution (down to 10 -12 m).…”