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篇目详细内容 |
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【篇名】 |
The holographic reconstructing algorithm and its error analysis about phase-shifting phase measurement |
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【刊名】 |
Frontiers of Electrical and Electronic Engineering in China |
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【刊名缩写】 |
Front. Electr. Electron. Eng. China |
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【ISSN】 |
1673-3460 |
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【EISSN】 |
1673-3584 |
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【DOI】 |
10.1007/s11460-007-0054-3 |
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【出版社】 |
Higher Education Press and Springer-Verlag |
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【出版年】 |
2007 |
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【卷期】 |
2
卷3期 |
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【页码】 |
293-297
页,共
5
页 |
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【作者】 |
LU Xiaoxu;
ZHONG Liyun;
ZHANG Yimo;
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【关键词】 |
optical measurement; information optics; phase-shifting phase measurement; N-step phase-shifting function; N+1-step phase-shifting algorithm; error |
【摘要】 |
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Phase-shifting measurement and its error estimation method were studied according to the holographic principle. A function of synchronous superposition of object complex amplitude reconstructed from N-step phase-shifting through one integral period (N-step phase-shifting function for short) was proposed. In N-step phase-shifting measurement, the interferograms are seen as a series of in-line holograms and the reference beam is an ideal parallel-plane wave. So the N-step phase-shifting function can be obtained by multiplying the interferogram by the original reference wave. In ideal conditions, the proposed method is a kind of synchronous superposition algorithm in which the complex amplitude is separated, measured and superposed. When error exists in measurement, the result of the N-step phase-shifting function is the optimal expected value of the least-squares fitting method. In the above method, the N+1-step phase-shifting function can be obtained from the N-step phase-shifting function. It shows that the N-step phase-shifting function can be separated into two parts: the ideal N-step phase-shifting function and its errors. The phase-shifting errors in N-steps phase-shifting phase measurement can be treated the same as the relative errors of amplitude and intensity under the understanding of the N+1-step phase-shifting function. The difficulties of the error estimation in phase-shifting phase measurement were restricted by this error estimation method. Meanwhile, the maximum error estimation method of phase-shifting phase measurement and its formula were proposed. |
