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    Complete characterization of beam deflection based on a double weak-value-amplification system

    Yu Wang1,2, Rongguo Yang1,2,3,*, Jing Zhang1,2,3, Chenzhen Luo1,2, Xiaomin Liu1,2, Kui Liu1,3, and Jiangrui Gao1,3

    • *Contact author: yrg@sxu.edu.cn

    Phys. Rev. Applied 26, 014002 – Published 6 July, 2026

    DOI: https://doi.org/10.1103/symq-cg3s

    Abstract

    The precise measurement of spatial attitude parameters is critical for applications in inertial navigation, industrial monitoring, instrument calibration, and quantum metrology. 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 TEM10 and TEM01 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 and 89 prad, respectively. This work expands the beam-deflection measurement to two dimensions, providing new insights for future high-precision multiparameter spatial precise detection.

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