Complete characterization of beam deflection based on double weak value amplification system
Abstract
The precise measurement of spatial attitude parameters is critical for applications in inertial navigation, industrial monitoring, instrument calibration, quantum metrology, etc. In this work, we theoretically investigate and experimentally realize the simultaneous measurement of the yaw and pitch angles using a Hermite-Gaussian-postselected double weak value system integrated with two sets of high-order-mode balanced homodyne detections, thereby achieving a complete characterization of the beam deflection. Signals of the yaw and pitch angles that are involved in TEM and TEM modes output from two dark ports of the system can be measured independently. As a result, the obtained minimum measurable yaw and pitch angles of beam deflection are 83 prad and 89 prad, respectively. Meanwhile, the corresponding displacements are 0.79 pm and 0.85 pm, respectively. This work expands the beam deflection measurement to two dimensions, which provides a new insight for future high-precision multi-parameter spatial precise detection.
Keywords
Cite
@article{arxiv.2510.27398,
title = {Complete characterization of beam deflection based on double weak value amplification system},
author = {Yu Wang and Rongguo Yang and Jing Zhang and Xiaomin Liu and Chenzhen Luo and Kui Liu and Jiangrui Gao},
journal= {arXiv preprint arXiv:2510.27398},
year = {2025}
}