Single-pixel Imaging with Full Wavefront Reconstruction via Homodyne Detection

We reconstruct full wavefronts of various objects using spatial recovery in single pixel imaging (SPI) with homodyne detection. To accomplish that we place a set of masks on the local oscillator (LO) and record the interference fringe between the LO and the probe (after its interaction with the object) for each mask by varying their relative phase. This allows the recovery of amplitude and phase of reconstruction coefficients for every applied mask. A priori information pertaining to the object and illuminating field are not required as this method is general and can work with weak, varied probe light. This method may be particularly beneficial for the imaging of biological samples that are often translucent. Unlike similar reconstruction methods, there is no need for complex post-processing algorithms, changing focal lengths, or physically redistributing the reference beam or object.