Abstract

The stop-band characteristics of waves in cholesteric-liquid-crystal half-space are investigated using the exact wave solution, the Floquet theorem, and the corresponding Brillouin diagram. The other half-space is filled with a uniform dielectric medium. By appropriate choice of the dielectric constant of the uniform medium and the angle of incidence of the incoming plane wave, the stop band may split into two or three stop bands.

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  1. H. de Vries, Acta Crystallogr. 4, 219 (1951).
  2. G. H. Conners, J. Opt. Soc. Am. 58, 875 (1968).
  3. J. Adams, W. Haas, and J. Dailey, J. Appl. Phys. 42, 4096 (1971).
  4. Groupe des Cristaux Liquides, La Recherche (Paris) 2, 435 (1971).
  5. Liquid Crystals and Their Applications, edited by T. Kallard (Optosonic Press, New York, 1970).
  6. J. L. Fergason, Mol. Cryst. Liq. Cryst. 1, 293 (1966).
  7. D. Taupin, J. Phys. (Paris) 30, 4 (1969).
  8. D. W. Berreman and T. J. Scheffer, Phys. Rev. Lett. 25, 577 (1970).
  9. E. I. Kats, Zh. Eksp. Teor. Fiz. 59, 1854 (1970) [Sov. Phys.-JETP 32, 1004 (1970)].
  10. R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).
  11. A. S. Marathay, Opt. Commun. 3, 369 (1971).
  12. T. Tamir, H. C. Wang, and A. A. Oliner, IEEE Trans. Antennas Propag. 12, 323 (1964).
  13. C. Elachi, IEEE Trans. Antennas Propag. 20, 534 (1972).
  14. C. Yeh, K. F. Casey, and Z. A. Kaprielian, IEEE Trans. Microwave Theory Tech. 13, 297 (1965).

Adams, J.

J. Adams, W. Haas, and J. Dailey, J. Appl. Phys. 42, 4096 (1971).

Berreman, D. W.

D. W. Berreman and T. J. Scheffer, Phys. Rev. Lett. 25, 577 (1970).

Casey, K. F.

C. Yeh, K. F. Casey, and Z. A. Kaprielian, IEEE Trans. Microwave Theory Tech. 13, 297 (1965).

Conners, G. H.

G. H. Conners, J. Opt. Soc. Am. 58, 875 (1968).

Dailey, J.

J. Adams, W. Haas, and J. Dailey, J. Appl. Phys. 42, 4096 (1971).

de Vries, H.

H. de Vries, Acta Crystallogr. 4, 219 (1951).

Dreher, R.

R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).

Elachi, C.

C. Elachi, IEEE Trans. Antennas Propag. 20, 534 (1972).

Fergason, J. L.

J. L. Fergason, Mol. Cryst. Liq. Cryst. 1, 293 (1966).

Haas, W.

J. Adams, W. Haas, and J. Dailey, J. Appl. Phys. 42, 4096 (1971).

Kaprielian, Z. A.

C. Yeh, K. F. Casey, and Z. A. Kaprielian, IEEE Trans. Microwave Theory Tech. 13, 297 (1965).

Kats, E. I.

E. I. Kats, Zh. Eksp. Teor. Fiz. 59, 1854 (1970) [Sov. Phys.-JETP 32, 1004 (1970)].

Marathay, A. S.

A. S. Marathay, Opt. Commun. 3, 369 (1971).

Meier, G.

R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).

Oliner, A. A.

T. Tamir, H. C. Wang, and A. A. Oliner, IEEE Trans. Antennas Propag. 12, 323 (1964).

Saupe, A.

R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).

Scheffer, T. J.

D. W. Berreman and T. J. Scheffer, Phys. Rev. Lett. 25, 577 (1970).

Tamir, T.

T. Tamir, H. C. Wang, and A. A. Oliner, IEEE Trans. Antennas Propag. 12, 323 (1964).

Taupin, D.

D. Taupin, J. Phys. (Paris) 30, 4 (1969).

Wang, H. C.

T. Tamir, H. C. Wang, and A. A. Oliner, IEEE Trans. Antennas Propag. 12, 323 (1964).

Yeh, C.

C. Yeh, K. F. Casey, and Z. A. Kaprielian, IEEE Trans. Microwave Theory Tech. 13, 297 (1965).

Other (14)

H. de Vries, Acta Crystallogr. 4, 219 (1951).

G. H. Conners, J. Opt. Soc. Am. 58, 875 (1968).

J. Adams, W. Haas, and J. Dailey, J. Appl. Phys. 42, 4096 (1971).

Groupe des Cristaux Liquides, La Recherche (Paris) 2, 435 (1971).

Liquid Crystals and Their Applications, edited by T. Kallard (Optosonic Press, New York, 1970).

J. L. Fergason, Mol. Cryst. Liq. Cryst. 1, 293 (1966).

D. Taupin, J. Phys. (Paris) 30, 4 (1969).

D. W. Berreman and T. J. Scheffer, Phys. Rev. Lett. 25, 577 (1970).

E. I. Kats, Zh. Eksp. Teor. Fiz. 59, 1854 (1970) [Sov. Phys.-JETP 32, 1004 (1970)].

R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).

A. S. Marathay, Opt. Commun. 3, 369 (1971).

T. Tamir, H. C. Wang, and A. A. Oliner, IEEE Trans. Antennas Propag. 12, 323 (1964).

C. Elachi, IEEE Trans. Antennas Propag. 20, 534 (1972).

C. Yeh, K. F. Casey, and Z. A. Kaprielian, IEEE Trans. Microwave Theory Tech. 13, 297 (1965).

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