In‐line Digital Holographic Microscopy Sample Reconstruction

In this chapter, following some historical and contextual explanations on optical microscopy and digital holography for biomedical purposes, this chapter presents several experimental setups for in-line holographic microscopy, and in particular the specificities and constraints of these setups with or without a lens. It addresses the issues underlying the reconstruction, which is an indispensable step in digital holography. The chapter presents the main state-of-the-art approaches for digitally reconstructing holographic objects and illustrates them on an experimental example. It illustrates the contributions of the inverse problem (IP) methodology in the context of the implementation of a digital super-resolution technique. The chapter concludes by describing more advanced perspectives, made possible by the IP approach-based reconstruction and applicable in holographic microscopy: self-calibration, 3D tomography capabilities.