Linear gratings and circular gratings are most commonly used in the applications of Talbot effect, due to their simple patterns and ease of analysis of Moiré fringes. In the present paper, we demonstrate a scheme to measure the displacement of a deformed object which based on the Talbot effect. We designed a hologram of a two-dimensional square-hole grating. For the test, we used a computer-controlled liquid crystal spatial light modulator (LC–SLM) and the computer-generated Talbot array hologram. The Talbot array hologram is displayed on the LC–SLM screen. The beam diffracted by the grating is transmitted to the surface of an object. By adjusting the distance between the LC-SLM and the object, a clear image is formed on the surface of the object. A speckled pattern of the object surface is captured by a CCD camera. Two speckle patterns before and after the deformation is recorded. The information about the displacement is codified in the intensity pattern. The displacement can be obtained by digital image correlation (DIC). The DIC obtains the displacement components by comparing the gray intensity changes between the digital images of an object surface before and after the deformation. This method is simple and easy, and can be used as an alternative method to measure in-plane and out-of-plane displacements. Theoretical and experimental results are presented.
Speckle fields contain many random dark and bright spots. In traditional speckle interference measurement technique, the information of the bright areas is fully utilized, and the speckle vortices that exit in the dark areas are often overlooked. The generation of speckle vortices by using phase-only liquid crystal spatial light modulator (LC-SLM) combined with the double Archimedes’ spiral micro-holes array is experimentally and theoretically studied. In the experiment, the gray image of double Archimedes’ spiral micro-holes array is displayed on the screen of LC-SLM, and the output optical field is captured by a CCD camera. The numerical simulations and experimental results show that speckle vortices can be generated by using this method.
A method for three-dimensional (3-D) deformation measurement is presented by combining Digital Speckle Correlation Method (DSCM) with Electronic Speckle Pattern Interferometry (ESPI). The combination is completed based on a typical ESPI system, in which the reference light is controlled to turn on or shut down. The in-plane displacement components are obtained by using DSCM when the reference light is shut. A phase shifting ESPI is formed when the reference light is used, which can be used for the measurement of the out-plane displacement component. A typical three-point-bending experiment is completed. Experiment results show that the three displacement components can be obtained by the combination effectively.
In ESPI experiment, object beam and reference beam are always planar light. The plane light can be replaced by vortex beam. Vortex beams can be generated by a reflective liquid crystal spatial light modulator (LC-SLM) which added in the optical path. The generated vortex beam can be used as object light or reference light in out-of-plane displacement measurement. The out-of-plane displacement is simulated and analyzed before and after the object deformation. By phase shifting method and unwrapping, the distribution of phase difference is obtained. The simulation results demonstrate the efficacy of the proposed method for the out-of-plane displacement measurements.
A simple setup for 3-D deformation measurement is offered. In the scheme a novel Cube Beam-Splitter, called Non- Cube Beam-Splitter (NCBS), is used for 3-D phase-shift Electronic Speckle Pattern Interferometry (ESPI). By using the NCBS lights from a tested object and lights from a reference surface, the reference and the object light can be combined and then interfere each other on a CCD camera when a laser beam illuminate the test object and the reference surface simultaneously. When three laser beams illuminate the test object at different incident angles respectively before and after deformation, three interference fringe patterns are formed. Then three phase maps corresponding to three lasers can be calculated by using phase-shift, by which three displacement components are completed. The principle of the method is presented and proved by a typical three-point bending experiment. Experimental results are offered.
Speckle plays an important role in the optical field. Optical vortices which exist in random speckle fields usually contain useful phase information. The distribution of speckle field is determined by these optical vortices. In order to study speckle vortices quantitatively, we established a micro-holes array model based on the law of Archimedes’ spiral arrangement. Speckle vortices can be generated by the random diffuse reflection points (spiral micro-holes). In the experiments, the gray image of Archimedes’ spiral micro-holes are displayed on the screen of liquid crystal spatial light modulator (LC-SLM), and the output optical field is captured by a CCD camera. The numerical simulations and experimental results show that the model can be used to generate speckle vortices.