Limited-angle holographic tomography with optically controlled projection generation

Abstract

In the paper we demonstrate a holographic tomography system with limited angle of projections, realized by optical– only, diffraction-based beam steering. The system created for this purpose is a Mach-Zehnder interferometer modified to serve as a digital holographic microscope with high Numerical Aperture illumination module and a Spatial Light Modulator. Such solution is fast and robust. Apart from providing an elegant solution to the viewing angle shifting, it also adds new capabilities of the holographic microscope system. SLM, being an active optical element, allows wavefront correction in order to improve measurement accuracy. Integrated phase data captured with different scenarios within a highly limited angular range are processed by a new tomographic reconstruction algorithm based on the compressed sensing technique: total variation minimization, which is applied to non-piecewise constant samples. Finally, the accuracy of full measurement and processing path proposed is tested for a calibrated 3D microobject.