Research on determining the position of zero optical path difference with the wavelet transform

Yusheng Qin, Xin Han, Xiangxian Li, Jingjing Tong, Yan Li, Minguang Gao

Optoelectronics Letters ›› 2023, Vol. 19 ›› Issue (3) : 170-173.

Optoelectronics Letters ›› 2023, Vol. 19 ›› Issue (3) : 170-173. DOI: 10.1007/s11801-023-2149-3
Article

Research on determining the position of zero optical path difference with the wavelet transform

Author information +
History +

Abstract

Due to the error of digital sampling, there is a deviation between the zero optical path difference (ZOPD) detection position of the interference signal in the infrared gas analyzer and the actual position. To solve this problem, a high-precision detection method of the ZOPD position based on wavelet transform is proposed. Firstly, the wavelet envelope curve of the interference signal is obtained by the wavelet transform, which can obtain the phase information and amplitude information of the maximum modulation position, and then the optimal ZOPD position is calculated by using the amplitude and phase information. The experimental results show that the error of the wavelet transform method is 19.617 nm, and the relative error is reduced by 93.11% compared with the peak method.

Cite this article

Download citation ▾
Yusheng Qin, Xin Han, Xiangxian Li, Jingjing Tong, Yan Li, Minguang Gao. Research on determining the position of zero optical path difference with the wavelet transform. Optoelectronics Letters, 2023, 19(3): 170‒173 https://doi.org/10.1007/s11801-023-2149-3

References

[1]
WeiD, AketagawaM. Securing noise-adaptive selection of interference signal by nonlinear detection[J]. Optics express, 2018, 26(15):19225-19234
CrossRef Google scholar
[2]
HuangY L, GaoJ, ZhangL Y, et al.. Fast template matching method in white-light scanning interferometry for 3D micro-profile measurement[J]. Applied optics, 2020, 59(4):1082-1091
CrossRef Google scholar
[3]
HuC, LiuX J, YangW J, et al.. Improved zero-order fringe positioning algorithms in white light interference based atomic force microscopy[J]. Optics & lasers in engineering, 2018, 100: 71-76
CrossRef Google scholar
[4]
YangW J, LiuX J, LuW L, et al.. A novel white light interference based AFM head[J]. Journal of lightwave technology, 2017, 35(16):3604-3610
CrossRef Google scholar
[5]
GuislainB G, HarveyR, TokarykD W, et al.. An alternative approach to interferogram collection and processing for a vintage Bomem DA3 Fourier transform spectrometer[J]. Journal of molecular spectroscopy, 2019, 364: 111181-111187
CrossRef Google scholar
[6]
ShiZ H, YangB X, HuX B, et al.. Lens surface distance measurement with large range and high precision based on low coherence interferometry[J]. Acta optica sinica, 2016, 36(6):06120011-06120018
[7]
LeiZ L, LiuX J, ZhaoL, et al.. A rapid measurement method for structured surface in white light interferometry[J]. Journal of microscopy, 2019, 276(3):118-127
CrossRef Google scholar
[8]
WangC L, LiY S, LiuX B, et al.. Detection and correction of linear phase error for Fourier transform spectrometer using phase correction method[J]. Advanced materials research, 2011, 225–226: 293-296
[9]
ZhouY F, CaiH Z, ZhongL Y, et al.. Eliminating the influence of source spectrum of white light scanning interferometry through time-delay estimation algorithm[J]. Optics communications, 2017, 391: 1-8
CrossRef Google scholar
[10]
XinL, LiuX, YangZ M, et al.. Three-dimensional reconstruction of super-resolved white-light interferograms based on deep learning[J]. Optics and lasers in engineering, 2021, 145(12):106663
CrossRef Google scholar
[11]
FengX, GuoQ, HanC P, et al.. Correction method of zero path difference position[J]. Journal of infrared and millimeter wave, 2017, 36(006): 795-798
[12]
ShaoC Y, GuM J, QiC L, et al.. Detection of zero path difference position for FY-3D hyper-spectral infrared atmospheric sounder[J]. Optics and precision engineering, 2020, 28(12):2573-2580
CrossRef Google scholar
[13]
WeiD, NagataY, AketagawaM. Phase information-assisted method to obtain the position of zero optical path difference for a pulse-train interferometer[J]. Optical engineering, 2018, 57(11):114106
CrossRef Google scholar
[14]
WeiD, YangP, XiaoM Z. Frequency pair model for selection of signal spectral components to determine the position of zero optical-path difference in a pulse-train interferometer[J]. Optics communications, 2018, 434: 124-127
CrossRef Google scholar
[15]
WeiD, XiaoM Z. Using the phase of second-harmonic interference fringes as a position marker for detecting the zero optical path difference in a nonlinear pulse-train interferometer[J]. Optical engineering, 2019, 58(3):034106.1-034106.4
CrossRef Google scholar
[16]
SerizawaT, SuzukiT, ChoiS, et al.. 3-D surface profile measurement using spectral interferometry based on continuous wavelet transform[J]. Optics communications, 2017, 396: 216-220
CrossRef Google scholar
[17]
WangZ Y, LiuZ G, DengZ W, et al.. Phase extraction of non-stationary interference signal in frequency scanning interferometry using complex shifted Morlet wavelets[J]. Optics communications, 2018, 420: 26-33
CrossRef Google scholar
[18]
ShabaniZ, SabouriS G, KhorsandA. Combination of discrete wavelet transform and ANFIS for post processing of spectroscopic signals[J]. Optical & quantum electronics, 2018, 50(10):359
CrossRef Google scholar
[19]
DengQ Y, HuangQ Q, HouJ, et al.. Analysis and restriction about accumulated phase error in spacial frequency-domain algorithm for white-light interferomety[J]. Laser & optoelectronics progress, 2021, 58(7): 0718001.1-0718001.11
[20]
ZhouY F, ZhongL Y, CaiH Z, et al.. White light scanning interferometry based on generalized cross-correlation time delay estimation[J]. IEEE photonics journal, 2017, 9(5): 6900511
CrossRef Google scholar

Accesses

Citations

Detail

Sections
Recommended

/