{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T22:21:49Z","timestamp":1787005309479,"version":"build-2736575974"},"reference-count":12,"publisher":"AIP Publishing","issue":"12","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2015,12,1]]},"abstract":"<jats:p>Picometer laser interferometry is an essential tool for ultra-precision measurements in frontier scientific research and advanced manufacturing. In this paper, we present a dual-heterodyne laser interferometer for simultaneously measuring linear and angular displacements with resolutions of picometer and nanoradian, respectively. The phase measurement method is based on cross-correlation analysis and realized by a PXI-bus data acquisition system. By implementing a dual-heterodyne interferometer with a highly symmetric optical configuration, low frequency noises caused by the environmental fluctuations can be suppressed to very low levels via common-mode noise rejection. Experimental results for the dual-heterodyne interferometer configuration presented demonstrate that the noise levels of the linear and angular displacement measurements are approximately 1 pm\/Hz1\/2 and 0.5 nrad\/Hz1\/2 at 1 Hz.<\/jats:p>","DOI":"10.1063\/1.4936771","type":"journal-article","created":{"date-parts":[[2015,12,2]],"date-time":"2015-12-02T13:00:28Z","timestamp":1449061228000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":48,"title":["A dual-heterodyne laser interferometer for simultaneous measurement of linear and angular displacements"],"prefix":"10.1063","volume":"86","author":[{"given":"Hao","family":"Yan","sequence":"first","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hui-Zong","family":"Duan","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5566-8599","authenticated-orcid":false,"given":"Lin-Tao","family":"Li","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu-Rong","family":"Liang","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Luo","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hsien-Chi","family":"Yeh","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology MOE Key Laboratory of Fundamental Physical Quantities Measurements, The School of Physics, , 1037 Luo Yu Road, Wuhan 430074, People\u2019s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2015,12,2]]},"reference":[{"issue":"6","key":"2023072903415247900_c1","doi-asserted-by":"publisher","first-page":"454","DOI":"10.1088\/0957-0233\/10\/6\/307","volume":"10","year":"1999","journal-title":"Meas. 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