Abstract
The tuning characteristics of a twisted nematic (TN) liquid crystal (LC) Fabry–Perot interferometer (FPI) wavelength filter, which is a basic component of wavelength division multiplexed transmission systems, is analyzed using coupled mode theory. First, a simplified modeling of the refractive index change in the LC layer is presented. Next, various characteristics of the eigen polarization modes of the LC medium and the cavity are derived analytically. Finally, the qualitative interpretation of the behavior of the FPI's resonance spectrum are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bao, Y., A. Sneh, K. Hsu, K.M. Johnson, L. Liu, C.M. Miller, Y. Monta and M.B. McClain. High-Speed Liquid Crystal Fiber Fabry-Perot Tunable Filter. IEEE Photon. Technol. Lett. 8 1190, 1996.
Brackett, C.A. Dense Wavelength Division Multiplexing Networks: Principles and Applications. IEEE J. Select. Areas Commun. 8 948, 1990.
Cheung, K.W., M.M. Choy and H. Kobrinski. Electronic Wavelength Tuning using Acoustooptic Tunable Filter with Broad Continuous Tuning Range and Narrow Channel Spacing. IEEE Photon. Technol. Lett. 1 38, 1989.
Frank, F.C. Discuss. Faraday Soc. 25 19, 1958.
de Gennes, P.G. and J. Prost. The Physics of Liquid Crystals, 2nd edn, Oxford Science Pub., Oxford, 268, 1993.
Hirabayashi, K., Y. Ohiso and T. Kurokawa. Polarization-Independent Tunable Wavelength-Selective Filter Using a Liquid Crystal. IEEE Trans. Photon. Technol. Lett. 3 1091, 1991.
Hirabayashi, K., H. Tshida and T. Kurokawa. Tunable Liquid Crystal Fabry-Perot Interferometer Filter for Wavelength-Division Multiplexing Communication Systems. J Lightwave Technol. 11 2033, 1993.
Maeda, M.W., J.S. Patel, C. Lin, J. Horrobin and R. Spicer. Electronically Tunable Liquid-Crystal-Etalon Filter for High-Density WDM Systems. IEEE Photon. Technol. Lett. 2 820, 1990.
Oseen, C.W. The Theory of Liquid Crystals. Trans. Faraday Soc. 29 883, 1933.
Patel, J.S. Electricity Tunable Ferroelectric Liquid-Crystal Fabry-Perot Filter. Opt. Lett. 17 456, 1992.
Patel, J.S. and S. Lee. Electricity Tunable and Polarization Insensitive Fabry-Perot Étalon with a Liquid-Crystal Film. Appl. Phys. Lett. 58 2491, 1991.
Patel, J.S. and M.W. Maeda. Tunable Polarization Diversity Liquid-Crystal Wavelength Filter. IEEE Photon. Technol. Lett. 3 739, 1991.
Patel, J.S. and Y. Silberberg. Anticrossing of Polarization Modes in Liquid-Crystal Étalons. Opt. Lett. 16 1049, 1991.
Shadt, M. and W. Helfrich. Voltage-dependent Optical Activity of a Twisted Nematic Liquid Crystal. Appl. Phys. Lett. 18 127, 1971.
Toba, H., K. Oda, N. Takato and K. Nosu. 5GHz-Spaced, Eight Channel Guided-Wave Tunable Multi/ Demultiplex for Optical FDM Transmission Systems. Electron. Lett. 23 788, 1987.
Yariv, A. and P. Yeh. Optical Waves in Crystals, John Wiley, New York, 143, 1984.
Yoda, H., Y. Ohtera, O. Hanaizumi and S. Kawakami. Analysis of Polarization Insensitive Tunable Optical Filter using Liquid Crystal: Connection Formula and Apparent Paradox. Opt. and Quantum Electron. 29 285, 1997.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ohtera, Y., Yoda, H. & Kawakami, S. Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory. Optical and Quantum Electronics 32, 147–167 (2000). https://doi.org/10.1023/A:1007075429333
Issue Date:
DOI: https://doi.org/10.1023/A:1007075429333