Abstract

GaAs/AlAs microcavities containing two different quantum wells have been grown and their normal mode coupling studied. We present experimental results that exhibit three-dip reflectivity spectra characteristic of three coupled oscillators. A theoretical model based on a nonlocal dielectric response and a transfer matrix method is used to model the microcavities and yields good agreement with experiment.

© 1996 Optical Society of America

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References

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  1. C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
    [CrossRef] [PubMed]
  2. E. Burnstein, C. Weisbuch, eds., Confined Electrons and Photons: New Physics and Devices (Plenum, New York, 1994).
  3. H. Yokoyama, K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities (CRC, Boca Raton, Fla., 1995).
  4. T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
    [CrossRef]
  5. S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
    [CrossRef]
  6. R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
    [CrossRef]
  7. R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
    [CrossRef]
  8. G. Panzarini, L. C. Andreani, Phys. Rev. B 52, 10780 (1995).
    [CrossRef]
  9. E. L. Ivchenko, M. A. Kaliteevski, A. V. Kavokin, A. I. Nesvizhskii, J. Opt. Soc. Am. B 13, 1061 (1996).
    [CrossRef]
  10. A. V. Kavokin, M. A. Kaliteevski, Solid State Commun. 95, 859 (1995).
    [CrossRef]
  11. M. Born, E. Wolf, Principles of Optics (Science, Moscow, 1970) p. 77.
  12. R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
    [CrossRef]

1996 (1)

1995 (5)

A. V. Kavokin, M. A. Kaliteevski, Solid State Commun. 95, 859 (1995).
[CrossRef]

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

G. Panzarini, L. C. Andreani, Phys. Rev. B 52, 10780 (1995).
[CrossRef]

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

1994 (2)

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

1992 (1)

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Andreani, L. C.

G. Panzarini, L. C. Andreani, Phys. Rev. B 52, 10780 (1995).
[CrossRef]

Arakawa, Y.

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Bjök, G.

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Science, Moscow, 1970) p. 77.

Cao, H.

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

Gibernon, J. L.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

Houdre, R.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

Ilegems, M.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

Ishikawa, A.

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Ivchenko, E. L.

Jacobson, J.

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

Kaliteevski, M. A.

Kavokin, A. V.

E. L. Ivchenko, M. A. Kaliteevski, A. V. Kavokin, A. I. Nesvizhskii, J. Opt. Soc. Am. B 13, 1061 (1996).
[CrossRef]

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

A. V. Kavokin, M. A. Kaliteevski, Solid State Commun. 95, 859 (1995).
[CrossRef]

Kokhanovskii, S. I.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Nesvizhskii, A. I.

Nesvizhskii, A.I.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Nishioka, M.

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Norris, T. B.

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

O’Gorman, J.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

Oesterle, U.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

Panzarini, G.

G. Panzarini, L. C. Andreani, Phys. Rev. B 52, 10780 (1995).
[CrossRef]

Pau, S.

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

Pellandini, P.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

Rhee, J. K.

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

Roycroft, B.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

Sasin, M. E.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Seisyan, R. P.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Sinitsin, M. A.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Stanley, R. P.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

Sung, C. Y.

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

Ujihara, K.

H. Yokoyama, K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities (CRC, Boca Raton, Fla., 1995).

Weisbuch, C.

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Science, Moscow, 1970) p. 77.

Yamamoto, Y.

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

Yavich, B.S.

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Yokoyama, H.

H. Yokoyama, K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities (CRC, Boca Raton, Fla., 1995).

Appl. Phys. Lett. (1)

R. P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, C. Weisbuch, Appl. Phys. Lett. 65, 2093 (1994).
[CrossRef]

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

Phys. Rev. B (4)

G. Panzarini, L. C. Andreani, Phys. Rev. B 52, 10780 (1995).
[CrossRef]

T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, Phys. Rev. B 50, 14663 (1994).
[CrossRef]

S. Pau, G. Bjök, J. Jacobson, H. Cao, Y. Yamamoto, Phys. Rev. B 51, 14437 (1995).
[CrossRef]

R. Houdre, J. L. Gibernon, P. Pellandini, R. P. Stanley, U. Oesterle, C. Weisbuch, J. O’Gorman, B. Roycroft, M. Ilegems, Phys. Rev. B 52, 7810 (1995).
[CrossRef]

Phys. Rev. Lett. (1)

C. Weisbuch, M. Nishioka, A. Ishikawa, Y. Arakawa, Phys. Rev. Lett. 69, 3314 (1992).
[CrossRef] [PubMed]

Semicond. Sci. Technol. (1)

R. P. Seisyan, A. V. Kavokin, S. I. Kokhanovskii, A.I. Nesvizhskii, M. E. Sasin, M. A. Sinitsin, B.S. Yavich, Semicond. Sci. Technol. 10, 611 (1995).
[CrossRef]

Solid State Commun. (1)

A. V. Kavokin, M. A. Kaliteevski, Solid State Commun. 95, 859 (1995).
[CrossRef]

Other (3)

M. Born, E. Wolf, Principles of Optics (Science, Moscow, 1970) p. 77.

E. Burnstein, C. Weisbuch, eds., Confined Electrons and Photons: New Physics and Devices (Plenum, New York, 1994).

H. Yokoyama, K. Ujihara, Spontaneous Emission and Laser Oscillation in Microcavities (CRC, Boca Raton, Fla., 1995).

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Figures (3)

Fig. 1
Fig. 1

(a) Anticrossing diagram of NMC27 with ≈5.2 nm between the heavy-hole excitons of the two QW’s. Solid curves, measured data; large filled circles, calculated results. (b) Reflectivity spectra of NMC27 corresponding to detunings of (I) y = +3.2 nm, (II) y = +2.0 mm, (III) y = +1.2 mm, (IV) y = +0.4 mm, and (V) y = −0.8 mm. Solid curves, measured data; dotted curves, calculated results. The plots are separated for clarity.

Fig. 2
Fig. 2

(a) Anticrossing diagram of NMC30 with ≈2.6 nm between peaks. (b) Reflectivity spectra of NMC30 corresponding to detunings of (I) y = +1.3 mm, (II) y = −1.0 mm, (III) y = −1.8 mm, (IV) y = −2.4 mm, and (V) y = −4.7 mm.

Fig. 3
Fig. 3

(a) Anticrossing diagram of NMC23 with ≈1.4 nm between peaks. (b) Reflectivity spectra of NMC23 corresponding to detunings of (I) y =+1.0 mm, (II) y = +0.5 mm, (III) y = 0.0 mm, (IV) y = −0.5 mm, and (V) y = −0.8 mm.

Tables (1)

Tables Icon

Table 1 Parameters Used in the Calculations for the Three Different Samples

Equations (8)

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( t 2 r 2 ) r B 1 r B 2 exp [ i ( Φ L + Φ R ) ] exp [ i ( Φ L + Φ R ) ] + r { r BL exp [ i ( Φ L Φ R ) ] + r BR exp [ i ( Φ R Φ L ) ] } = 0 ,
r = r L + ( t L 2 r L 2 ) r R exp ( 2 i Φ DQW ) 1 r L r R exp ( 2 i Φ DQW ) ,
  t = t L t R exp ( i Φ DQW ) 1 r L r R exp ( 2 i Φ DQW ) ,
r L ( R ) = i Γ 0 ω L ( R ) ω i ( Γ + Γ 0 ) ,
t L ( R ) = 1 + r L ( R ) ,
  det [ Ω L 0 V 0 Ω R V V V Ω 0 ] = 0 ,
Ω L ( R ) = ω ω L ( R ) + i Γ ,   Ω 0 = ω ω 0 + i γ , V = [ ( 2 Γ 0 c ) / ( n L eff ) ] 1 / 2 ,   γ = c n L eff ( 1 R ) ,
  T ˆ i = [ 1 0 2 n r i t i 1 ] .

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