Interference fringes in a nonlinear Michelson interferometer based on spontaneous parametric down-conversion
Chen Yang, Zhi-Yuan Zhou, Liu-Long Wang, Yan Li, Shi-Kai Liu, Zheng, Ge, Xiao-Chun Zhang, Qing Tang, Guang-Can Guo, and Bao-Sen Shi

TL;DR
This paper presents a systematic study of a quantum nonlinear Michelson interferometer based on spontaneous parametric down-conversion, demonstrating theoretical and experimental results for interference phenomena and applications in measuring crystal properties.
Contribution
It introduces a simplified theoretical model of the QNI and experimentally verifies interference effects, applying it to measure refractive index and surface angles of a BBO crystal.
Findings
Interference visibility and coherence length are demonstrated both theoretically and experimentally.
Equal-inclination and equal-thickness interference effects are characterized.
The QNI effectively measures crystal refractive index and surface angles.
Abstract
Quantum nonlinear interferometers (QNIs) can measure the infrared physical quantities of a sample by detecting visible photons. A QNI with Michelson geometry based on the spontaneous parametric down-conversion in a second-order nonlinear crystal is studied systematically. A simplified theoretical model of the QNI is presented. The interference visibility, coherence length, equal-inclination interference, and equal-thickness interference for the QNI are demonstrated theoretically and experimentally. As an application example of the QNI, the refractive index and the angle between two surfaces of a BBO crystal are measured using equal-inclination interference and equal-thickness interference.
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