A Technique to Measure Focal Length of a Lens with no Bulk Motion using   Tunable Optics and Optical MEMS Technology
  This paper presents a motion-free technique for characterizing the focal length of any spherical convex or concave lens. The measurement system uses a Gaussian Beam from a Laser Source (LS), an Electronically Controlled Variable Focus Lens (ECVFL), a Digital Micromirror Device (DMD) and a Photo-Detector (PD). As the proposed method does not involve any motion-stages or other moving components, the focal length is measured without requiring any mechanical motion of bulk components. The method requires measuring the spot size of the Gaussian Beam at the DMD plane for various settings of the ECVFL focal length. These beam spot size measurements, are used to estimate the focal length of a lens sample by employing standard polynomial-fitting techniques. Due to the inherent motion-free nature of the proposed setup, the measurements are fast, repeatable, reliable and ideal for use in industrial lens production, manufacturing of imaging systems and sensitive laboratory experiments. Using a DMD and an ECVFL also allows for automating the lens characterization process. As a proof-of-concept, experiments were performed to determine focal length values of multiple lens samples with the proposed technique. The values of focal lengths of all samples are in agreement with the focal length values which were provided by the manufacturer of these test lenses. The estimated focal length values are within the 1% manufacturing tolerance values that were provided. 
Syed Azer Reza and Arslan Anjum
physics.ins-det physics.optics