Extended focusing in dual-wavelength digital holography

Abstract

Dual-wavelength digital holography (DH) extends the depth range of measurement, but it faces an issue that it can't focus the whole extended depth range. In single-wavelength DH, the depth of focus of a correct reconstruction distance is usually sufficient to cover the whole depth range. Therefore, in single-wavelength DH, autofocusing algorithms which can obtain a correct reconstruction distance have been proposed and can solve the issue of focusing the whole depth range. But in dual-wavelength DH and even multi-wavelength DH, the extended depth range of the measurement often spans multiple depths of the focus of the optical system, which means that the depth of focus of a single reconstruction distance is not capable to cover the whole extended depth range, making part of depth out of focus. Therefore, in dual-wavelength DH, only autofocusing is not enough, but extended focusing is demanded. However, we lack extended focusing approaches in dual-wavelength DH. Therefore, we propose an extended focusing approach based on correlation coefficient (CC) to focus the whole extended depth range in dual-wavelength DH. The proposed approach includes three steps: (1) dividing the extended depth range by the depth of focus of the system; (2) using the CC-based autofocusing approach to find the correct reconstruction distance of each divided region and reconstructing this region; (3) concatenating reconstructed image of each region and constituting the whole-depth-focused image. Through simulation experiments and practical experiments, the effectiveness and necessity of the proposed approach are verified.