首页|期刊导航|计量学报|步进偏差补偿相移算法研究

步进偏差补偿相移算法研究OA

Research on Step Deviation Compensation Phase-shifting Algorithm

中文摘要英文摘要

干涉法单晶硅球直径测量系统由于控制准确度限制导致相移过程中存在步进偏差,直接采用现有五步、七步等相移算法将导致难以忽略的误差从而影响直径测量结果.为了提高直径测量结果的准确度和可靠性,提出了步进偏差补偿相移算法.根据单晶硅球直径测量原理,对比分析了五步和七步相移算法所导致的误差,明确了后者由于多光束近似所导致的误差更小,更符合实际干涉测量系统光路.基于七步相移算法构建了步进偏差补偿相移算法,在存在步进偏差的情况下,该算法将误差的最大绝对值和标准差降低至0.32 nm和0.09 nm.搭建了实际测量系统并完成了单晶硅球直径测量,直径测量结果与标称值差异仅为0.57 nm,验证了步进偏差补偿相移算法的有效性.

The diameter measurement system for single crystal silicon spheres based on interferometry suffered from step deviation during the phase-shifting process due to control accuracy limitations.The use of existing five-step,seven-step,and other phase-shifting algorithms results in errors that are difficult to ignore,thereby affecting the diameter measurement results.To improve the accuracy and reliability of measurement results,a step deviation compensation phase-shifting algorithm was proposed.According to the principle of the diameter measurement,the errors caused by the five-step and the seven-step phase-shifting algorithms were compared and analyzed.Due to the smaller error caused by the multi-beam approximation,the seven-step phase-shifting algorithm is more consistent with the diameter measurement system than the five-step one.Based on the seven-step phase-shifting algorithm,a step deviation compensation phase-shifting algorithm was constructed.This algorithm reduced the maximum absolute value and standard deviation of the error to 0.32 nm and 0.09 nm in the presence of step deviation.An actual diameter measurement system was built and the diameters were measured.The difference between the diameter measurement result and the nominal value was only 0.57 nm,which verified the effectiveness of the proposed step deviation compensation phase-shifting algorithm.

常旭;王金涛;罗志勇;刘翔;佟林;赵思韬

中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029西安工业大学,陕西 西安 710021

通用工业技术

力学计量单晶硅球硅球直径相移算法步进偏差补偿光学干涉法

mechanical metrologysingle crystal silicon spheressilicon sphere diameterphase-shifting algorithmstep deviation compensationoptical interferometry

《计量学报》 2026 (3)

356-362,7

国家重点研发计划(2023YFF0615504)国家自然科学基金(52075514)中国计量科学研究院基本科研业务费重点领域项目(AKYZD2309)中国计量科学研究院基本业务费(AKYZZ2511)

10.3969/j.issn.1000-1158.2026.03.06

评论