A series of different combinations of polarizers are employed to manipulate different two-photon interference phenomena in an all physical way. Not only the second-order coherence function hidden in the two-photon absorption counting can be obtained, but also the disappeared interference pattern based on two-photon absorption detection can be recovered. In theory, polarization matrix and two-photon interference matrix are combined to develop polarized two-photon interference terms, which is in good agreement with the experimental results. The proposed experiment and theory may serve as tools on the research of vector coherent optics and have potential application in some fields, such as optical polarimetry, optical interferometer and optical polarization communication.
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