Simultaneous measurement of displacement, pitch, and yaw angles of a cavity output mirror based on phase measuring deflectometry

Accurate and high dynamic range measurement of the three attitude variations (i.e., displacement, pitch, yaw angles) has been widely researched based on various approaches to meet different application requirements. However, none of the existing methods can detect these three attitude variations at...

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Veröffentlicht in:Applied optics (2004) 2020-04, Vol.59 (10), p.3270-3284
Hauptverfasser: Sun, Chuang, Zheng, Yamin, Zeng, Fa, Xue, Qiao, Dai, Wanjun, Zhao, Wenchuan, Huang, Lei
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container_end_page 3284
container_issue 10
container_start_page 3270
container_title Applied optics (2004)
container_volume 59
creator Sun, Chuang
Zheng, Yamin
Zeng, Fa
Xue, Qiao
Dai, Wanjun
Zhao, Wenchuan
Huang, Lei
description Accurate and high dynamic range measurement of the three attitude variations (i.e., displacement, pitch, yaw angles) has been widely researched based on various approaches to meet different application requirements. However, none of the existing methods can detect these three attitude variations at the same time. This paper proposes a method based on a classical phase measuring deflectometry (PMD) system and a double iteration algorithm to simultaneously measure the three variations of the output mirror in a laser resonator. The relationship between the attitude variations and the lateral displacement parameters (LDP) of the imaged structural fringes is derived in the PMD system. Through the established relationship, the attitude variations could be calculated once the LDP are detected. Furthermore, a two-step measuring scheme combining the four-step shifting phase and the color-coded fringe is proposed to effectively detect the LDP. Finally, an experiment is conducted to verify the feasibility of the proposed method.
doi_str_mv 10.1364/AO.386456
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source Alma/SFX Local Collection; Optica Publishing Group Journals
subjects Attitudes
Iterative algorithms
Lateral displacement
Mathematical analysis
Pitch (inclination)
Yaw
title Simultaneous measurement of displacement, pitch, and yaw angles of a cavity output mirror based on phase measuring deflectometry
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