This paper analyzes the dynamics of laser speckles and fringes, formed in an imaging-speckle-pattern interferometer with the purpose of sensing linear three-dimensional motion and out-of-plane components of rotation in real time, using optical spatial-filtering-velocimetry techniques. The ensemble-average definition of the cross-correlation function is applied to the intensity distributions, obtained in the observation plane at two positions of the object. The theoretical analysis provides a description for the dynamics of both the speckles and the fringes. The analysis reveals that both the magnitude and direction of all three linear displacement components of the object movement can be determined. Simultaneously, out-ofplane rotation of the object including the corresponding directions can be determined from the spatial gradient of the in-plane fringe motion throughout the observation plane. The theory is confirmed by experimental measurements. © 2011 Optical Society of America.
Bibliographical noteThis paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: www.opticsinfobase.org/abstract.cfm?URI=ao-50-28-5577. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Jakobsen, M. L., Iversen, T. F. Q., Yura, H. T., & Hanson, S. G. (2011). Speckle and fringe dynamics in imagingspeckle-pattern interferometry for spatial-filtering velocimetry. Applied Optics, 50(28), 5577-5591. https://doi.org/10.1364/AO.50.005577