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 |
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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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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. 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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.</description><subject>Attitudes</subject><subject>Iterative algorithms</subject><subject>Lateral displacement</subject><subject>Mathematical analysis</subject><subject>Pitch (inclination)</subject><subject>Yaw</subject><issn>1559-128X</issn><issn>2155-3165</issn><issn>1539-4522</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNpdkUFr3DAQhUVpaLZJD_0DQdBLA_FW0li2fFyWpg0E9pAUejOyNEocbMuR5Ia95afHm93mkNN7Ax-PmXmEfOVsyaHIf6w2S1BFLosPZCG4lBnwQn4ki9lWGRfq7zH5HOMDYyDzqvxEjkHkjBVcLMjzTdtPXdID-inSHnWcAvY4JOodtW0cO21e5ws6tsncX1A9WLrVT7PedRh3mKZG_2vTlvopjVOifRuCD7TRES31Ax3vZ3fIboc7atF1aJLvMYXtKTlyuov45aAn5M_lz9v17-x68-tqvbrODHBImZKqKQxnklmFjPGyqZRGZ5WrdFmg4VyzSmoA7pwBI1jJwTprgUkHpmrghHzf547BP04YU9230WDX7U-v54-IHIpSyhn99g598FMY5u1qAaoqhVRSzNT5njLBxxjQ1WNoex22NWf1rpZ6tan3tczs2SFxanq0b-T_HuAFXqqJLw</recordid><startdate>20200401</startdate><enddate>20200401</enddate><creator>Sun, Chuang</creator><creator>Zheng, Yamin</creator><creator>Zeng, Fa</creator><creator>Xue, Qiao</creator><creator>Dai, Wanjun</creator><creator>Zhao, Wenchuan</creator><creator>Huang, Lei</creator><general>Optical Society of America</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0001-9866-4697</orcidid><orcidid>https://orcid.org/0000-0001-7024-1916</orcidid><orcidid>https://orcid.org/0000-0001-5862-5984</orcidid></search><sort><creationdate>20200401</creationdate><title>Simultaneous measurement of displacement, pitch, and yaw angles of a cavity output mirror based on phase measuring deflectometry</title><author>Sun, Chuang ; Zheng, Yamin ; Zeng, Fa ; Xue, Qiao ; Dai, Wanjun ; Zhao, Wenchuan ; Huang, Lei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-858b6c1050d8e0017b98aefd8f9a76ec11a095a331ffc3c20713dfdd305f3c9b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Attitudes</topic><topic>Iterative algorithms</topic><topic>Lateral displacement</topic><topic>Mathematical analysis</topic><topic>Pitch (inclination)</topic><topic>Yaw</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sun, Chuang</creatorcontrib><creatorcontrib>Zheng, Yamin</creatorcontrib><creatorcontrib>Zeng, Fa</creatorcontrib><creatorcontrib>Xue, Qiao</creatorcontrib><creatorcontrib>Dai, Wanjun</creatorcontrib><creatorcontrib>Zhao, Wenchuan</creatorcontrib><creatorcontrib>Huang, Lei</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Applied optics (2004)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sun, Chuang</au><au>Zheng, Yamin</au><au>Zeng, Fa</au><au>Xue, Qiao</au><au>Dai, Wanjun</au><au>Zhao, Wenchuan</au><au>Huang, Lei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Simultaneous measurement of displacement, pitch, and yaw angles of a cavity output mirror based on phase measuring deflectometry</atitle><jtitle>Applied optics (2004)</jtitle><addtitle>Appl Opt</addtitle><date>2020-04-01</date><risdate>2020</risdate><volume>59</volume><issue>10</issue><spage>3270</spage><epage>3284</epage><pages>3270-3284</pages><issn>1559-128X</issn><eissn>2155-3165</eissn><eissn>1539-4522</eissn><abstract>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. 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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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