Experimental transport of intensity diffraction tomography

Abstract

In this thesis, I perform intensity-based tomographic phase imaging in two ways. First, I utilize the paraxial transport of intensity equation (TIE) to construct phase maps of a phase object at multiple projection angles and reconstruct the object 3- dimensionally using basic tomographic principles. Then, I use an Intensity Diffraction Tomography (IDT) approach to improve the quality of reconstruction by accounting for diffraction effects under 1st order Rytov Approximation. I improve both approaches by applying compressive sensing techniques to estimate missing points in the undersampled data. Finally, I compare I-DT with single-shot, Gabor-type digital holography (also integrating use of compressive sensing principles) and discuss improvements and extensions of the presented implementation of IDT.