We introduced several approaches of terahertz wavefront phase retrieval from intensity measured in a volumetric grid. Our developments include several experimental solutions for the registration of multiple intensity distributions spaced along the optical axis for two types of terahertz sources, namely Gunn diode with frequency multiplication chain and quantum cascade laser. We implemented several measurement modes: (i) sequential raster scanning by single Schottky diode with two lock-in amplifiers, complimentary tuned to different sensitivities for high dynamic range recording; (ii) step by step registration on matrix photodetectors, with averaging over several images for every measurement plane; (iii) continuous measurement during the displacement of the motorized translation stage. The high dynamic range data acquisition allowed us to successfully implement single-beam terahertz surface profilometry in the reflection, while the on-the-go recording ensures the shortest measurement times. In addition, we experimentally appraised two matrix detectors (INO and I2S) and applied several phase retrieval algorithms which proved their effectiveness in various experimental conditions, namely for the intensity registration in various diffraction zones and axial measurement plane allocations.
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