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Elimination of dispersion effect in a white-light scanning interferometer by using a spectral analyzer

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Abstract

A general equation of the interference signal of white-light scanning interferometer (WSI) and its Fourier transform are derived. Based on these equations, a new method for elimination of a dispersion effect in WSI is proposed to measure exactly a reflecting surface position. A dispersion phase caused by the two sides of unequal length in a beam splitter is detected with a spectrally resolved interferometer (SRI). A spectral distribution is obtained by using Fourier transform from an interference signal detected with a WSI. The spectral phase of the SRI is subtracted from the spectral phase of the WSI to get a dispersion-free spectral phase, which provides an improved complex-valued interference signal where a position of zero phase is almost equal to a position of maximum amplitude. An accurate measurement is achieved by using the position of zero phase.

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References

  1. Park, M.C., Kim, S.W.: Direct quadratic polynomial fitting for fringe peak detection of white light scanning interferograms. Opt Eng 39(4), 952–959 (2000)

    Article  ADS  Google Scholar 

  2. Pikálek, T., Fořt, T., Buchta, Z.: Detection techniques in low-coherence interferometry and their impact on overall measurement accuracy. Appl Opt 53, 8463–8470 (2014)

    Article  ADS  Google Scholar 

  3. de Groot. P.: Compensation of systematic effects in low coherence interferometry. Patent 7,522,288 (2009)

  4. de Groot, P., Deck, L.: Surface profiling by analysis of white-light interferograms in the spatial frequency domain. J Mod Opt 42, 389–401 (1995)

    Article  ADS  Google Scholar 

  5. Sasaki, O., Tai, H., Suzuki, T.: Step-profile measurement by backpropagation of multiple-wavelength optical fields. Opt Lett 38(18), 2683–2685 (2007)

    Article  ADS  Google Scholar 

  6. Pavliček, P., Soubusta, J.: Measurement of the influence of dispersion on white-light interferometry. Appl Opt 43, 766–770 (2004)

    Article  ADS  Google Scholar 

  7. Pshenay-Severin, E., Setzpfandt, F., Helgert, C., Hübner, U., Menzel, C., Chipouline, A., Rockstuhl, C., Tünnermann, A., Lederer, F., Pertsch, T.: Experimental determination of the dispersion relation of light in metamaterials by white-light interferometry. J Opt Soc Am B 27, 666–1254 (2010)

    Article  ADS  Google Scholar 

  8. Luo, Z.Y., Zhang, S.N., Shen, W.D., Xia, C., Ma, Q., Liu, X., Zhang, Y.G.: Group delay dispersion measurement of a dispersive mirror by spectral interferometry: comparison of different signal processing algorithms. Appl Opt 50, C239–C245 (2011)

    Article  Google Scholar 

  9. Kim, S.W., Kim, G.H.: Thickness-profile measurement of transparent thin-film layers by white-light scanning interferometry. Appl Opt 38, 5968–6973 (1999)

    Article  ADS  Google Scholar 

  10. Choi, S., Otsuki, K., Sasaki, O., Suzuki, T.: Profile measurement of glass sheet using multiple wavelength backpropagation interferometry. Appl Opt 52, 3726–3731 (2013)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This research was supported by National Natural Science Foundation of China (NSFC) (61275203, 61505059 and 61575070), the Fujian Province Science Funds for Distinguished Young Scholar (No. 2015J06015) and the Natural Science Foundation of Fujian Province of China (No. 2014J05007).

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Correspondence to Song-Jie Luo.

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Luo, SJ., Sasaki, O., Liu, YX. et al. Elimination of dispersion effect in a white-light scanning interferometer by using a spectral analyzer. Opt Rev 24, 27–32 (2017). https://doi.org/10.1007/s10043-016-0291-x

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  • DOI: https://doi.org/10.1007/s10043-016-0291-x

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