Single-shot in-line Fresnel incoherent holography using a dual-focus checkerboarded lens

Fresnel incoherent correlation holography (FINCH) is a technology that can acquire three-dimensional information of incoherent objects such as fluorescence with an in-line optical system. However, it is difficult for FINCH to apply to the dynamic phenomena since FINCH has to detect phase-shifted holograms sequentially to eliminate twin and zero-order images. In this paper, a method that the phase-shifted holograms can be simultaneously obtained with in-line setup by using an optimized simulated diffraction optical element (sDOE), which is realized by a phase-only spatial light modulator, is proposed. The optimized sDOE is an optical device which has a dual-focus lens, a 2D grating, and a spatial phase shifter. Therefore, the sDOE is called a dual-focus checkerboarded lens. The optical experiment confirms the feasibility of the proposed method.