Properties of a dielectric plate using entangled two-photon states

We theoretically study the properties of a dielectric plate with a modified Hong-Ou-Mandel interferometer. The fourth-order correlation functions are calculated in two regimes divided depending on the relative size between the thickness of dielectric plate and one-photon coherence length. When the thickness of dielectric plate is less than the one-photon coherence length, a novel modulation behavior of the coincidence rate is observed, which has not been discussed before. If the thickness of dielectric plate is larger than the one-photon coherence length, the coalescence and anti-coalescence are observed. The results obtained highlight the effects of linear optical element on the fourth-order interference.