Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments

To realize in situ surface morphology diagnosis of Plasma-Facing Materials (PFMs) in the Experimental Advanced Superconducting Tokamak (EAST), a diagnostic system which is called DUT-SIEP (Speckle Interferometry Experiment Platform in Dalian University of Technology) is in development. Mimicking the...

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Main Authors: Yuanbo Li, Xiaoqian Cui, Chunlei Feng, Hongbei Wang, Hongbin Ding
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Nuclear Materials and Energy
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2352179123000364
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author Yuanbo Li
Xiaoqian Cui
Chunlei Feng
Hongbei Wang
Hongbin Ding
author_facet Yuanbo Li
Xiaoqian Cui
Chunlei Feng
Hongbei Wang
Hongbin Ding
author_sort Yuanbo Li
collection DOAJ
description To realize in situ surface morphology diagnosis of Plasma-Facing Materials (PFMs) in the Experimental Advanced Superconducting Tokamak (EAST), a diagnostic system which is called DUT-SIEP (Speckle Interferometry Experiment Platform in Dalian University of Technology) is in development. Mimicking the actual vibrational conditions in EAST, Dual-wavelength Phase-Shifting Interferometry (DPSI) should be sensitive to vibrational environment and would reduce accuracy in the morphology measurements. Therefore, an approach combining the Gram–Schmidt orthonormalization and the Least-Square Ellipse Fitting (GS-LSEF) was proposed to replace the conventional phase extraction process to improve the measurement accuracy in the EAST-like vibration conditions. The new approach only requires two interferograms at each wavelength while the conventional method needs three at least for each wavelength. This significantly reduces the phase errors in the acquisition processes. The Gram–Schmidt orthonormalization is performed to correct the phase shift errors and determine the elliptic coefficients. In the Least-Square Ellipse Fitting, the elliptic coefficients are used to compensate the phase errors from the disturbed background intensity. The approach can significantly improve the measurement efficiency and avoid the infinite loops caused by the numeric divergent. The method was verified by laser ablation on tungsten (W) material for simulating erosion-processes in EAST. Results show that the proposed approach has significantly improved in accuracy by approximately twofold comparing with those by the convenient Four-step phase-shifting approaches due to reducing the noise superposition problems in the EAST-like vibrational conditions.
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spelling doaj.art-8be352e570f34c4795ff1e30664269df2023-06-19T04:28:24ZengElsevierNuclear Materials and Energy2352-17912023-06-0135101397Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environmentsYuanbo Li0Xiaoqian Cui1Chunlei Feng2Hongbei Wang3Hongbin Ding4School of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR ChinaSchool of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR China; Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, PR ChinaSchool of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR ChinaSchool of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR China; Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, PR China; Institute of Energy, Hefei Comprehensive National Science Center, Anhui, Hefei, 230031, PR China; Corresponding authors at: School of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR China.School of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR China; Corresponding authors at: School of Physics and Optical Electronic Technology, Dalian University of Technology, Dalian 116024, PR China.To realize in situ surface morphology diagnosis of Plasma-Facing Materials (PFMs) in the Experimental Advanced Superconducting Tokamak (EAST), a diagnostic system which is called DUT-SIEP (Speckle Interferometry Experiment Platform in Dalian University of Technology) is in development. Mimicking the actual vibrational conditions in EAST, Dual-wavelength Phase-Shifting Interferometry (DPSI) should be sensitive to vibrational environment and would reduce accuracy in the morphology measurements. Therefore, an approach combining the Gram–Schmidt orthonormalization and the Least-Square Ellipse Fitting (GS-LSEF) was proposed to replace the conventional phase extraction process to improve the measurement accuracy in the EAST-like vibration conditions. The new approach only requires two interferograms at each wavelength while the conventional method needs three at least for each wavelength. This significantly reduces the phase errors in the acquisition processes. The Gram–Schmidt orthonormalization is performed to correct the phase shift errors and determine the elliptic coefficients. In the Least-Square Ellipse Fitting, the elliptic coefficients are used to compensate the phase errors from the disturbed background intensity. The approach can significantly improve the measurement efficiency and avoid the infinite loops caused by the numeric divergent. The method was verified by laser ablation on tungsten (W) material for simulating erosion-processes in EAST. Results show that the proposed approach has significantly improved in accuracy by approximately twofold comparing with those by the convenient Four-step phase-shifting approaches due to reducing the noise superposition problems in the EAST-like vibrational conditions.http://www.sciencedirect.com/science/article/pii/S2352179123000364TokamakSurface morphology diagnosisEAST-like vibrationGram-Schmidt orthonormalizationLeast-Square Ellipse Fitting
spellingShingle Yuanbo Li
Xiaoqian Cui
Chunlei Feng
Hongbei Wang
Hongbin Ding
Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
Nuclear Materials and Energy
Tokamak
Surface morphology diagnosis
EAST-like vibration
Gram-Schmidt orthonormalization
Least-Square Ellipse Fitting
title Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
title_full Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
title_fullStr Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
title_full_unstemmed Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
title_short Algorithm improvement for the surface morphology diagnostics based on the Gram-Schmidt orthonormalization and the least square ellipse fitting under the EAST-like vibrational environments
title_sort algorithm improvement for the surface morphology diagnostics based on the gram schmidt orthonormalization and the least square ellipse fitting under the east like vibrational environments
topic Tokamak
Surface morphology diagnosis
EAST-like vibration
Gram-Schmidt orthonormalization
Least-Square Ellipse Fitting
url http://www.sciencedirect.com/science/article/pii/S2352179123000364
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