Abstract

Low-threshold lasing is observed at the edge of the stop band of a one-dimensional structure—a dye-doped cholesteric liquid-crystal film. The mode closest to the edge has the lowest lasing threshold. The rates of spontaneous and stimulated emission are suppressed within the stop band and enhanced at the band edge. The ratio of right to left circularly polarized spontaneous emission is in good agreement with calculated density of photon states.

© 1998 Optical Society of America

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References

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  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
    [CrossRef] [PubMed]
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    [CrossRef]
  4. C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
    [CrossRef]
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    [CrossRef]
  6. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

1997 (1)

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

1996 (2)

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

K. M. Flood and D. L. Jaggard, J. Opt. Soc. Am. A 13, 1395 (1996).
[CrossRef]

1995 (2)

I. P. Il’chishin and A. Yu. Vakhnin, Mol. Cryst. Liq. Cryst. 265, 687 (1995).
[CrossRef]

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

1994 (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

1991 (2)

E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. 63, 1950 (1991).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

1987 (2)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

1973 (1)

1972 (1)

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

Bloemer, M. J.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Bowden, C. M.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Brommer, K. D.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

Cheng, C. C.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Dowling, J. P.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Elachi, C.

Fainman, Y.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Flood, K. M.

Gmitter, T. J.

E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. 63, 1950 (1991).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

Goldberg, L. S.

L. S. Goldberg and J. M. Schnur, “Tunable internal-feedback liquid crystal laser,” U.S. patent3,771,065 (1973); I. P. Il’chishin, E. A. Tikhonov, V. G. Tishchenko, and M. T. Shpak, JETP Lett. 32, 27 (1981).

Il’chishin, I. P.

I. P. Il’chishin and A. Yu. Vakhnin, Mol. Cryst. Liq. Cryst. 265, 687 (1995).
[CrossRef]

Jaggard, D. L.

Joannopoulos, J. D.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

John, S.

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

Kogelnik, H.

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

Meade, R. D.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

Quang, T.

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

Rappe, A. M.

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

Rong-Chung, T.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Scalora, M.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

Scherer, A.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Schnur, J. M.

L. S. Goldberg and J. M. Schnur, “Tunable internal-feedback liquid crystal laser,” U.S. patent3,771,065 (1973); I. P. Il’chishin, E. A. Tikhonov, V. G. Tishchenko, and M. T. Shpak, JETP Lett. 32, 27 (1981).

Shank, C. V.

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

Tocci, M. D.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

Vakhnin, A. Yu.

I. P. Il’chishin and A. Yu. Vakhnin, Mol. Cryst. Liq. Cryst. 265, 687 (1995).
[CrossRef]

Witzgall, G.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Yablonovitch, E.

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. 63, 1950 (1991).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

Yeh, C.

J. Appl. Phys. (2)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
[CrossRef]

H. Kogelnik and C. V. Shank, J. Appl. Phys. 43, 2327 (1972).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Mol. Cryst. Liq. Cryst. (1)

I. P. Il’chishin and A. Yu. Vakhnin, Mol. Cryst. Liq. Cryst. 265, 687 (1995).
[CrossRef]

Phys. Rev. A (1)

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, Phys. Rev. A 53, 2799 (1996).
[CrossRef] [PubMed]

Phys. Rev. Lett. (5)

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 58, 2486 (1987).
[CrossRef] [PubMed]

E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. 63, 1950 (1991).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Phys. Rev. Lett. 67, 3380 (1991).
[CrossRef] [PubMed]

S. John and T. Quang, Phys. Rev. Lett. 74, 3419 (1995).
[CrossRef] [PubMed]

Vac. Sci. Technol. B (1)

C. C. Cheng, A. Scherer, T. Rong-Chung, Y. Fainman, G. Witzgall, and E. Yablonovitch, Vac. Sci. Technol. B 15, 2764 (1997).
[CrossRef]

Other (2)

C. M. Soukoulis, ed., Photonic Band Gaps and Localization, Vol. 308 of NATO ASI Series B: Physics (Plenum, New York, 1993); Photonic Band Gap Materials, Vol. 315 of NATO ASI Series E: Applied Sciences (Kluwer Academic, Dordrecht, The Netherlands, 1996).
[CrossRef]

L. S. Goldberg and J. M. Schnur, “Tunable internal-feedback liquid crystal laser,” U.S. patent3,771,065 (1973); I. P. Il’chishin, E. A. Tikhonov, V. G. Tishchenko, and M. T. Shpak, JETP Lett. 32, 27 (1981).

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Figures (4)

Fig. 1
Fig. 1

Transmittance and reflectance spectra for unpolarized light of dye-doped CLC for sample 1 with superimposed laser emission.

Fig. 2
Fig. 2

(a) Emission spectrum with peaks at wavelengths 1–4 from sample 1 at different pump powers. (b) Relative intensities of emission at the wavelength corresponding to each mode.

Fig. 3
Fig. 3

Emission spectra from sample 2 for LCP and RCP emission with the reflectance spectrum superimposed.

Fig. 4
Fig. 4

Ratio of RCP to LCP emission spectra from sample 2 and theoretical curve for c/n/dω/dk for the stop band.

Equations (1)

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nωk/c=signk-k0k2-2kk0+ω021/2+ω0,

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