10.57647/jtap.2026.2004.07

Real-time polarization tuning in Mach-Zehnder interferometer using electro-optically modulated twist angles of nematic liquid crystal

  1. Department of Physics, Government Degree College Danya, 263622 Almora, Uttarakhand, India
  2. Department of Physics, Government Degree College Jaithra, 207249 Etah, Uttar Pradesh, India

Received: 2025-08-02

Revised: 2025-08-18

Accepted: 2025-10-31

Published Online: 2026-04-17

How to Cite

1.
Joshi R, Gyaprasad G. Real-time polarization tuning in Mach-Zehnder interferometer using electro-optically modulated twist angles of nematic liquid crystal. J Theor Appl phys. 2026 Jan. 1;. Available from: https://oiccpress.com/jtap/article/view/18821

PDF views: 14

Abstract

We propose a theoretical framework to dynamically control the degree of polarization of light by using the superposition of incoherent orthogonally polarized beams in a Mach-Zehnder interferometer incorporating a twisted nematic liquid crystal cell in one of its arms. The liquid crystal acts as an elecro-optically controlled polarization rotator, where the applied electric field changes the twist of molecules inside the nematic liquid crystal, thereby altering the plane of polarization. This controllable voltage dependent polarization rotation causes manipulation of the output degree of polarization. The resulting system allows real-time, tunable control over the degree of polarization, offering advantages over traditional static or reflection-based approaches, which often suffer from intensity losses or manual errors. We also observe that in the interference of fully coherent orthogonally polarized beams through a similar configuration, the degree of polarization is always equal to 1, whereas the orientation of linear state of polarization is changed with voltage.

Keywords

  • Polarization of light,
  • Degree of polarization,
  • Twisted nematic liquid crystal

References

  1. S. Chandrasekhar. Liquid Crystals. Cambridge University Press, 1992. DOI: 10.1017/CBO9780511622496
  2. P. J. Collings and M. Hird. Introduction to Liquid Crystals: Chemistry and Physics. CRC Press, 2017. DOI: 10.1201/9781315272801
  3. I. C. Khoo. Liquid Crystals, vol. 64. John Wiley & Sons, 2007.
  4. P. G. de Gennes and J. Prost. The Physics of Liquid Crystals. Oxford University Press, 1993.
  5. H. M. Atkuri, E. S. P. Leong, J. Hwang, G. Palermo, G. Si, J. M. Wong, L. C. Chien, J. Ma, K. Zhou, Y. J. Liu, et al. “Displays based on liquid crystals.” Displays, 36:21–29, 2015. DOI: https://doi.org/10.1016/j.displa.2014.09.001.
  6. S. Lee, S. Lee, and H. Kim. “Electro-optic characteristics and switching principle of a nematic liquid crystal cell controlled by fringe-field switching Available to Purchase.” Appl. Phys. Lett., 73:2881–2883, 1998. DOI: https://doi.org/10.1016/j.molliq.2021.118442
  7. R. E. Michel and G. W. Smith. “Dependence of birefringence threshold voltage on dielectric anisotropy in a nematic liquid crystal.” J. Appl. Phys., 45:3234–3236, 1974. DOI: https://doi.org/10.1063/1.1663764
  8. K. Thingujam, A. Bhattacharjee, B. Choudhury, and R. Dabrowski. “Nematic liquid crystals exhibiting high birefringence.” Opt. Rev., 23:409–419, 2016. DOI: https://doi.org/10.1007/s10043-016-0207-9
  9. S. T. Wu, U. Efron, and L. D. Hess. “Birefringence measurements of liquid crystals.” Appl. Opt., 23:3911–3915, 1984. DOI: https://doi.org/10.1364/AO.23.003911
  10. S. T. Wu. “Birefringence dispersions of liquid crystals.” Phys. Rev. A, 33:1270, 1986. DOI: https://doi.org/10.1103/PhysRevA.33.1270
  11. P. Réfrégier, F. Goudail, P. Chavel, and A. Friberg. “Entropy of partially polarized light and application to statistical processing techniques.” J. Opt. Soc. Am. A, 21:2124–2134, 2004. DOI: https://doi.org/10.1364/JOSAA.21.002124
  12. L. Wang and D. Zimnyakov. Optical Polarization in Biomedical Applications, vol. 467. Springer, 2006.
  13. D. Talmage and P. Curran. “Remote sensing with polarization.” Int. J. Remote Sens., 7:47–64, 1986.
  14. L. Wolff. “Polarization camera technology.” Proc. Image Understanding Workshop, pp. 1031–1036, 1993.
  15. L. V. Wang and H. Wu. Biomedical Optics: Principles and Imaging. John Wiley & Sons, 2007.
  16. M. Y. Hung, H. Shang, and L. Yang. “Polarimetric imaging.” Opt. Eng., 42:1197–1207, 2003.
  17. J. F. de Boer, T. E. Milner, and J. S. Nelson. “Optical coherence tomography.” Opt. Lett., 24:300–302, 1999.
  18. DOI: https://doi.org/10.1364/OL.24.000300
  19. L. P. Leppänen, K. Saastamoinen, A. T. Friberg, and T. Setälä. “Interferometric interpretation for the degree of polarization of classical optical beams.” New J. Phys., 16:113059, 2014. DOI: doi:10.1088/1367-2630/16/11/113059
  20. B. Kanseri and R. Joshi. “Determination of temporal correlation properties of electromagnetic optical fields.” Opt. Commun., 457:124710, 2020. DOI: https://doi.org/10.1016/j.optcom.2019.124710
  21. B. Kanseri and H. K. Singh. “Development and characterization of a source having tunable partial spatial coherence and polarization features.” Optik, 206:163747, 2020. DOI: https://doi.org/10.1016/j.ijleo.2019.163747
  22. R. Joshi, N. K. Pathak, and B. Kanseri. “Relationship between degree of polarization and two-time degree of coherence of electromagnetic fields.” Appl. Phys. B, 127:65, 2021. DOI: https://doi.org/10.1007/s00340-021-07614-9
  23. X. Zhao, T. D. Visser, and G. P. Agrawal. “Controlling the degree of polarization of partially coherent electromagnetic beams with lenses” Opt. Lett., 43:2344–2347, 2018. DOI: https://doi.org/10.1364/OL.43.002344
  24. R. Joshi and B. Kanseri. “Degree of polarization of a spectral electromagnetic Gaussian Schell-model beam passing through 2-f and 4-f lens systems.” arXiv preprint, arXiv:2007.08117, 2020. DOI: https://doi.org/10.48550/arXiv.2007.08117
  25. Z. Yang, P. Wennberg, R. Cageao, T. Pongetti, G. Toon, and S. Sander. “Ground-based photon path measurements from solar absorption spectra of the O2 A-band.” J. Quant. Spectrosc. Radiat. Transfer, 90:309–321, 2005. DOI: https://doi.org/10.1016/j.jqsrt.2004.03.020
  26. H. K. Singh, D. Joshi, and B. Kanseri. “Statistical features of an electromagnetic Gaussian–Schell model beam propagating through a smoke aerosol environment.” Appl. Opt., 61:1125–1132, 2022. DOI: https://doi.org/10.1364/AO.446960
  27. H. L. Yin, T. Y. Chen, Z. W. Yu, H. Liu, L. X. You, Y. H. Zhou, S. J. Chen, Y. Mao, M. Q. Huang, W. J. Zhang, et al. “Measurement-Device-Independent Quantum Key Distribution Over a 404 km Optical Fiber.” Phys. Rev. Lett., 117:190501, 2016. DOI: https://doi.org/10.1103/PhysRevLett.117.190501
  28. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden. “Quantum cryptography.” Rev. Mod. Phys., 74:145, 2002.
  29. DOI: https://doi.org/10.1103/RevModPhys.74.145 C. Navarrete-Benlloch, T. Weiss, S. Walter, and G. J. de Valcárcel. “General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles.” Phys. Rev. Lett., 119:133601, 2017.
  30. DOI: https://doi.org/10.1103/PhysRevLett.119.133601
  31. Gyaprasad and B. Kanseri. “Degree and state of polarization control using Brewster’s law in a nematic liquid crystal polarization.” Opt. Laser Technol., 157:108705, 2023. DOI: https://doi.org/10.1016/j.optlastec.2022.108705
  32. Gyaprasad and B. Kanseri. “Tunability in the polarization of light using nematic liquid crystal.” Opt. Commun., 569:130841, 2024. DOI: https://doi.org/10.1016/j.optcom.2024.130841
  33. R. M. Azzam. “Stokes-vector and Mueller-matrix polarimetry [Invited].” J. Opt. Soc. Am. A, 33:1396–1408, 2016. DOI: https://doi.org/10.1364/JOSAA.33.001396
  34. M. Schadt and W. Helfrich. “Voltage-dependent optical activity of a twisted nematic liquid crystal.” Appl. Phys. Lett., 18:127–128, 1971. DOI: https://doi.org/10.1063/1.1653593
  35. S. T. Wu and D. K. Yang. Reflective Liquid Crystal Displays. John Wiley & Sons, 2001.
  36. C. Gooch and H. Tarry. “The optical properties of twisted nematic liquid crystal structures with twist angles ⩽90 degrees.” J. Phys. D: Appl. Phys., 8:1575, 1975. DOI: 10.1088/0022-3727/8/13/020
  37. S. Kelly and M. O’Neill. “Liquid crystals for electro-optic applications.” In Handbook of Advanced Electronic and Photonic Materials and Devices, Elsevier, pp. 1–66, 2001.