Skip to main content
SpringerLink
Log in

Two-exposure quasi-common-path point diffraction interferometric phase microscopy using a four-step algorithm

  • Regular Paper
  • Published:
Optical Review Aims and scope Submit manuscript

Abstract

A two-exposure nearly common-path point diffraction interferometric phase microscopy (IPM) is presented using polarization modulation and one-step grating shifting to implement quantitative phase imaging. The IPM is constructed by an improved Michelson configuration with a reflective grating, and its frequency spectrum generated by a circularly polarized object beam makes double copies through a beam splitter. One copy is low-pass filtered and reflected by a reflective pinhole mirror to create a reference beam, and the other copy is converted by a polarizer and then reflected by a reflective grating to achieve a 45° linearly polarized object beam. By the combination of a polarizing cube beam splitter with 45° tilted angle and a translation of the reflective grating with a π phase shift, four interferograms with π/2 phase shift can be obtained in two exposures. The standard four-step algorithm can then be used to reconstruct the phase of the specimen. The utility of the proposed method was demonstrated with measurements on a phase plate, cells and an oil drop.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Srivastava, V., Anna, T., Mehta, D.S.: Full-field Hilbert phase microscopy using nearly common-path low coherence off-axis interferometry for quantitative imaging of biological cells. J. Opt. 14, 125707 (2012)

    Article  ADS  Google Scholar 

  2. Pham, H., Ding, H., Sobh, N., Do, M., Patel, S., Popescu, G.: Off-axis quantitative phase imaging processing using CUDA: toward real-time applications. Biomed. Opt. Express 2, 1781–1793 (2011)

    Article  Google Scholar 

  3. Fukuda, T., Shinomura, M., Xia, P., Awatsuji, Y., Nishio, K., Matoba, O.: Three-dimensional motion-picture imaging of dynamic object by parallel-phase-shifting digital holographic microscopy using an inverted magnification optical system. Opt. Rev. 24, 206–211 (2017)

    Article  Google Scholar 

  4. Jafarfard, M.R., Moon, S., Tayebi, B., Kim, D.Y.: Dual-wavelength diffraction phase microscopy for simultaneous measurement of refractive index and thickness. Opt. Lett. 39, 2908–2911 (2014)

    Article  ADS  Google Scholar 

  5. Ghosh, N., Sarkar, S., Bhattacharya, K.: Low-magnification polarization phase-shifting interference microscope for three-dimensional profilometry. Opt. Eng. 51, 085601 (2012)

    Article  ADS  Google Scholar 

  6. Guo, R., Yao, B., Gao, P., Min, J., Zheng, J., Ye, T.: Reflective point-diffraction microscopic interferometer with long-term stability. Chin. Opt. Lett. 9, 120002 (2011)

    Article  ADS  Google Scholar 

  7. Diao, M., Hao, B., Shan, M., Wang, Y., Zhi, Z., Zhang, Y.: Tri-window common-path interferometer for quantifying phase objects. Appl. Opt. 53, 5453–5459 (2014)

    Article  ADS  Google Scholar 

  8. Hao, B., Shan, M., Zhong, Z., Diao, M., Zhang, Y.: Common-path interferometer with four simultaneous phase-shifted interferograms using ronchi grating and cube beamsplitter. Opt. Lasers Eng. 51, 1278–1282 (2013)

    Article  Google Scholar 

  9. Rodriguez-Zurita, G., Meneses-Fabian, C., Toto-Arellano, N.I., Vázquez-Castillo, J.F., Robledo-Sánchez, C.: One-shot phase-shifting phase-grating interferometry with modulation of polarization: case of four interferograms. Opt. Express 16, 7806–7817 (2008)

    Article  ADS  Google Scholar 

  10. Rodriguez-Zurita, G., Toto-Arellano, N.I., Meneses-Fabian, C., Vázquez-Castillo, J.F.: One-shot phase-shifting interferometry: five, seven, and nine interferograms. Opt. Lett. 33, 2788–2790 (2008)

    Article  ADS  Google Scholar 

  11. Chen, L.C., Yeh, S.L., Tapilouw, A.M., Chang, J.C.: 3-D surface profilometry using simultaneous phase-shifting interferometry. Opt. Commun. 283, 3376–3382 (2010)

    Article  ADS  Google Scholar 

  12. Hettwer, A., Kranz, J., Schwider, J.: Three channel phase-shifting interferometer using polarization-optics and a diffraction grating. Opt. Eng. 39, 960–966 (2000)

    Article  ADS  Google Scholar 

  13. Meng, X.F., Cai, L.Z., Xu, X.F., Yang, X.L., Shen, X.X., Dong, G.Y., Wang, Y.R.: Two-step phase-shifting interferometry and its application in image encryption. Opt. Lett. 31, 1414–1416 (2006)

    Article  ADS  Google Scholar 

  14. Shaked, N.T., Newpher, T.M., Ehlers, M.D., Wax, A.: Parallel on axis holographic phase microscopy of biological cells and unicellular microorganism dynamics. Appl. Opt. 49, 2872–2878 (2010)

    Article  ADS  Google Scholar 

  15. Gao, P., Yao, B., Min, J., Guo, R., Zheng, J., Ye, T.: Parallel two-step phase-shifting microscopic interferometry based on a cube beamsplitter. Opt. Commun. 284, 4136–4140 (2011)

    Article  ADS  Google Scholar 

  16. Bai, F., Liu, Z., Bao, X.: Two-shot point-diffraction interferometer with an unknown phase shift. J. Opt. 12, 045702 (2010)

    Article  ADS  Google Scholar 

  17. Meneses-Fabian, C., Rodriguez-Zurita, G., Encarnacion-Gutierrez, M., Toto-Arellano, N.I.: Phase-shifting interferometry with four interferograms using linear polarization modulation and a Ronchi grating displaced by only a small unknown amount. Opt. Commun. 282, 3063–3068 (2009)

    Article  ADS  Google Scholar 

  18. Zhong, Z., Hao, B., Shan, M., Wang, Y., Diao, M., Zhang, Y.: Two-shot common-path phase-shifting interferometer with a four-step algorithm and an unknown phase shift. Appl. Opt. 53, 2067–2072 (2014)

    Article  ADS  Google Scholar 

  19. Bai, H., Shan, M., Zhong, Z., Guo, L., Zhang, Y.: Parallel-quadrature on-axis phase-shifting common-path interferometer using a polarizing beam splitter. Appl. Opt. 54, 9513–9517 (2015)

    Article  ADS  Google Scholar 

  20. Bai, H., Shan, M., Zhong, Z., Guo, L., Zhang, Y.: Common path interferometer based on the modified Michelson configuration using a reflective grating. Opt. Lasers Eng. 75, 1–4 (2015)

    Article  Google Scholar 

  21. Shaked, N.T.: Quantitative phase microscopy of biological samples using a portable interferometer. Opt. Lett. 37, 2016–2018 (2012)

    Article  ADS  Google Scholar 

  22. Goldstein, R.M., Zebker, H.A., Werner, C.L.: Satellite radar interferometry. Two-dimensional phase unwrapping. Radio Sci. 23, 713–720 (1988)

    Article  ADS  Google Scholar 

  23. Li, B., Chen, L., Zhao, B., Yang, M., Li, J.: Spatial mismatch calibration using circular carrier technique in the simultaneous phase shifting interferometry. Appl. Opt. 51, 1037–1044 (2012)

    Article  ADS  Google Scholar 

  24. Rinehart, M.T., Park, H., Wax, A.: Influence of defocus on quantitative analysis of microscopic objects and individual cells with digital holography. Biomed. Opt. Express 6, 2067–2075 (2015)

    Article  Google Scholar 

  25. Dan, D., Lei, M., Yao, B., Wang, W., Winterhalder, M., Zumbusch, A., Qi, Y., Xia, L., Yan, S., Yang, Y., Gao, P., Ye, T., Zhao, W.: DMD-based LED-illumination super-resolution and optical sectioning microscopy. Sci. Rep. 3, 1116 (2013)

    Article  ADS  Google Scholar 

  26. Lee, K., Kim, K., Kim, G., Shin, S., Park, Y.: Time-multiplexed structured illumination using a DMD for optical diffraction tomography. Opt. Lett. 42, 999–1002 (2017)

    Article  ADS  Google Scholar 

  27. Zhou, W., Xu, Q., Yu, Y., Asundi, A.: Phase-shifting in-line digital holography on a digital micro-mirror device. Opt. Lasers Eng. 47, 896–901 (2009)

    Article  Google Scholar 

  28. Duncan, W.M., Bartlett, T., Lee, B., Powell, D., Rancuret, P., Sawyers, B.: Dynamic optical filtering in DWDM systems using the DMD. Sol. State Electron. 46, 1583–1585 (2002)

    Article  ADS  Google Scholar 

  29. Rodrigo, P.J., Perch-Nielsen, I.R., Glückstad, J.: High-speed phase modulation using the RPC method with a digital micromirror-array device. Opt. Express 14, 5588–5593 (2006)

    Article  ADS  Google Scholar 

  30. Rong, X., Yu, X., Guan, C., Tian, H.: A hogel-based holographic recording system and its hologram reconstruction improvement. Optics 124, 3642–3645 (2013)

    ADS  Google Scholar 

Download references

Acknowledgements

This study was supported by the National Natural Science Foundation of China (61377009, 61775046); Major National Scientific Instrument and Equipment Development Project of China (2013YQ290489).

Author information

Authors and Affiliations

  1. College of Information and Communication Engineering, Harbin Engineering University, 145 Nantong Street, Harbin, 150001, Heilongjiang, China

    Hongyi Bai, Mingguang Shan, Zhi Zhong, Lei Liu, Lili Guo & Yabin Zhang

  2. College of Electronic Engineering, Heilongjiang University, 74 Xuefu Road, Harbin, 150080, Heilongjiang, China

    Hongyi Bai

Authors
  1. Hongyi Bai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mingguang Shan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhi Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lei Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Lili Guo
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Yabin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mingguang Shan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bai, H., Shan, M., Zhong, Z. et al. Two-exposure quasi-common-path point diffraction interferometric phase microscopy using a four-step algorithm. Opt Rev 25, 102–108 (2018). https://doi.org/10.1007/s10043-017-0399-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10043-017-0399-7

Keywords

Search

Navigation