Abstract

We investigate the behavior of cholesteric liquid crystals (CLC’s) inside a Fabry–Perot (FP) cavity. Although FP cavities filled with various liquid crystals have been extensively studied, to our knowledge the behavior of CLC-based FP cavities has not been reported. In CLC the twisted structure can be changed because the pitch is a function of temperature. In a parallel-rubbed CLC FP cavity the balance between strong surface anchoring and elastic energy yield a steplike resonance spectrum. This corresponds to the quantized effective pitch that the system assumes when both surface alignments are fixed. Experiment results for parallel-rubbed samples are presented and explained theoretically by use of Jones matrix calculations.

© 1999 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. C. Fabry and A. Perot, Ann. Chem. Phys. 16, 289 (1899).
  2. J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
    [Crossref]
  3. J. S. Patel and S.-D. Lee, Appl. Phys. Lett. 58, 2491 (1991).
    [Crossref]
  4. J. S. Patel, Opt. Lett. 17, 456 (1992).
    [Crossref] [PubMed]
  5. S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, Cambridge, 1992), pp. 213–300.
    [Crossref]
  6. A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
    [Crossref]
  7. H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
    [Crossref]
  8. S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
    [Crossref]
  9. D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
    [Crossref]
  10. D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
    [Crossref]
  11. S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
    [Crossref]
  12. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 289–291.
  13. H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
    [Crossref]
  14. Y. Ohtera, H. Yoda, and S. Kawakami, “Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory,” Opt. Quantum Electron. (to be published).

1997 (3)

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

1994 (1)

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

1992 (1)

1991 (1)

J. S. Patel and S.-D. Lee, Appl. Phys. Lett. 58, 2491 (1991).
[Crossref]

1990 (2)

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

1899 (1)

C. Fabry and A. Perot, Ann. Chem. Phys. 16, 289 (1899).

Andreadakis, N.

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Barnik, M. I.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Belavey, S. V.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Berreman, D. W.

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Bos, Ph.

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

Chandrasekhar, S.

S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, Cambridge, 1992), pp. 213–300.
[Crossref]

Chien, L.-C.

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

Cohen, G.

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

Doane, J. W.

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

Fabry, C.

C. Fabry and A. Perot, Ann. Chem. Phys. 16, 289 (1899).

Faris, S.

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

Faris, S. M.

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

Funfschilling, J.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Galabova, H. G.

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

Hanaizumi, O.

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

Hochbaum, A.

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

Jiang, Y.

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

Joseph, K.

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

Kawakami, S.

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

Y. Ohtera, H. Yoda, and S. Kawakami, “Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory,” Opt. Quantum Electron. (to be published).

Lavrentovich, O. D.

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

Lee, S.-D.

J. S. Patel and S.-D. Lee, Appl. Phys. Lett. 58, 2491 (1991).
[Crossref]

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Li, L.

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

Lin, C.

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Mailmoneko, N. V.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Ohtera, Y.

Y. Ohtera, H. Yoda, and S. Kawakami, “Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory,” Opt. Quantum Electron. (to be published).

Othera, Y.

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

Patel, J. S.

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

J. S. Patel, Opt. Lett. 17, 456 (1992).
[Crossref] [PubMed]

J. S. Patel and S.-D. Lee, Appl. Phys. Lett. 58, 2491 (1991).
[Crossref]

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Perot, A.

C. Fabry and A. Perot, Ann. Chem. Phys. 16, 289 (1899).

Saifi, M. A.

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

Schadt, M.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Schmitt, S.

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Shiyanovskii, S. V.

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

Subacius, D.

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

Suh, S.-W.

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

Vartak, S.

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

West, J. L.

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

Yang, D.-K.

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 289–291.

Yoda, H.

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

Y. Ohtera, H. Yoda, and S. Kawakami, “Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory,” Opt. Quantum Electron. (to be published).

Ann. Chem. Phys. (1)

C. Fabry and A. Perot, Ann. Chem. Phys. 16, 289 (1899).

Appl. Phys. Lett. (4)

J. S. Patel, M. A. Saifi, D. W. Berreman, C. Lin, N. Andreadakis, and S.-D. Lee, Appl. Phys. Lett. 57, 1718 (1990).
[Crossref]

J. S. Patel and S.-D. Lee, Appl. Phys. Lett. 58, 2491 (1991).
[Crossref]

D. Suba?ius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, Appl. Phys. Lett. 71, 3323 (1997).
[Crossref]

S.-W. Suh, K. Joseph, G. Cohen, and J. S. Patel, Appl. Phys. Lett. 70, 2547 (1997).
[Crossref]

J. Appl. Phys. (1)

D.-K. Yang, J. L. West, L.-C. Chien, and J. W. Doane, J. Appl. Phys. 76, 1331 (1994).
[Crossref]

Jpn. J. Appl. Phys. (1)

S. V. Belavey, M. Schadt, M. I. Barnik, J. Funfschilling, N. V. Mailmoneko, and S. Schmitt, Jpn. J. Appl. Phys. 29, L634 (1990).
[Crossref]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

H. Yoda, Y. Othera, O. Hanaizumi, and S. Kawakami, Opt. Quantum Electron. 29, 285 (1997).
[Crossref]

Other (5)

Y. Ohtera, H. Yoda, and S. Kawakami, “Analysis of twisted nematic liquid crystal Fabry–Perot interferometer (TN-FPI) filter based on the coupled mode theory,” Opt. Quantum Electron. (to be published).

S. Chandrasekhar, Liquid Crystals (Cambridge U. Press, Cambridge, 1992), pp. 213–300.
[Crossref]

A. Hochbaum, Y. Jiang, L. Li, S. Vartak, and S. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1063.
[Crossref]

H. G. Galabova, Y. Jiang, L. Li, S. Vartak, and S. M. Faris, in SID 99 Digest (Society for Information Display, San Jose, Calif., 1999), p. 1058.
[Crossref]

P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988), pp. 289–291.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Pitch of 4-[(S,S)-2,3-expoxyhexyloxy] phenyl4-(decyloxy)benzoate as a function of temperature. Dashed curves, natural pitch of the material. Solid curves, effective pitch.

Fig. 2
Fig. 2

Experimental results of the resonance spectra as a function of temperature: (a) unpolarized light, (b) light that is linearly polarized parallel to the rubbing direction.

Fig. 3
Fig. 3

Theoretically calculated results of the resonance spectra as a function of temperature: (a) unpolarized light, (b) light that is linearly polarized parallel to the rubbing direction.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

J=exp-iΦ/2Rϕ×[cosχ-iΓ2sinχχϕsinχχ-ϕsinχχcosχ+iΓ2sinχχ],
M=JtJ=exp-iΦ[κihihκ*],κ=1-2Γ2sinχχ2-iΓ cosχsinχχ,h=-ϕΓsinχ/χ2.
Eo 2=t41+r2M+r4M2+·Ei2=t41-r2 expiφ+2Ei·e+2+t41-r2 expiφ-2Ei·e-2,
φ±=Φ±2 sin-1Δnk0d2χsinχ.
e±=[expiχ1±q2±1q2-ip expiχ1±q2±ip 1q2],p=2χ-Γ2ϕ,q=cosχ2ϕ/Γ2+cos2χ1/2.

Metrics