Abstract

Mode hopping in external-cavity AlGaAs diode lasers has been studied experimentally. Its dependence on the amount of feedback and the external-cavity round-trip phase has been studied. The results are compared with the predictions of potential well models. As the feedback is increased the results differ considerably from this theory. A qualitative treatment is also presented.

© 1996 Optical Society of America

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References

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  1. R. Lang, K. Kobayashi, IEEE J. Quantum Elecron. QE-16, 347 (1980).
    [CrossRef]
  2. M. W. Fleming, A. Mooradian, IEEE J. Quantum Electron. QE-17, 44 (1981).
    [CrossRef]
  3. K. Kikuchi, T. Okoshi, Electron. Lett. 18, 10 (1982).
    [CrossRef]
  4. L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
    [CrossRef]
  5. B. Dahamani, L. Hollberg, R. Drullinger, Opt. Lett. 12, 876 (1987).
    [CrossRef]
  6. J. O. Binder, G. D. Cormack, IEEE J. Quantum Electron. 25, 2255 (1989).
    [CrossRef]
  7. D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
    [CrossRef]
  8. J. Sigg, IEEE J. Quantum Electron. 29, 1262 (1993).
    [CrossRef]
  9. N. Schunk, K. Petermann, IEEE J. Quantum Electron. 24, 1242 (1988).
    [CrossRef]
  10. L. N. Langley, K. A. Shore, J. Mork, Opt. Lett. 19, 2137 (1994).
    [CrossRef] [PubMed]
  11. J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
    [CrossRef]
  12. G. H. M. van Tartwijk, D. Lenstra, Phy. Rev. A 50, R2837 (1994).
    [CrossRef]
  13. H. Risken, The Fokker –Planck Equation (Springer-Verlag, Berlin, 1984), Chap. 5, p. 123.
  14. B. Tromborg, J. Mork, IEEE J. Quantum Electron. 26, 642 (1990).
    [CrossRef]
  15. J. Wang, K. Petermann, IEEE J. Quantum Electron. 27, 3 (1991).
    [CrossRef]
  16. D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
    [CrossRef]
  17. M. R. Alalusi, R. B. Darling, IEEE J. Quantum Electron. 31, 1181 (1995).
    [CrossRef]
  18. J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
    [CrossRef]

1995 (1)

M. R. Alalusi, R. B. Darling, IEEE J. Quantum Electron. 31, 1181 (1995).
[CrossRef]

1994 (2)

L. N. Langley, K. A. Shore, J. Mork, Opt. Lett. 19, 2137 (1994).
[CrossRef] [PubMed]

G. H. M. van Tartwijk, D. Lenstra, Phy. Rev. A 50, R2837 (1994).
[CrossRef]

1993 (1)

J. Sigg, IEEE J. Quantum Electron. 29, 1262 (1993).
[CrossRef]

1992 (1)

J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
[CrossRef]

1991 (2)

J. Wang, K. Petermann, IEEE J. Quantum Electron. 27, 3 (1991).
[CrossRef]

D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
[CrossRef]

1990 (2)

B. Tromborg, J. Mork, IEEE J. Quantum Electron. 26, 642 (1990).
[CrossRef]

J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
[CrossRef]

1989 (1)

J. O. Binder, G. D. Cormack, IEEE J. Quantum Electron. 25, 2255 (1989).
[CrossRef]

1988 (1)

N. Schunk, K. Petermann, IEEE J. Quantum Electron. 24, 1242 (1988).
[CrossRef]

1987 (1)

1985 (1)

D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
[CrossRef]

1982 (2)

K. Kikuchi, T. Okoshi, Electron. Lett. 18, 10 (1982).
[CrossRef]

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

1981 (1)

M. W. Fleming, A. Mooradian, IEEE J. Quantum Electron. QE-17, 44 (1981).
[CrossRef]

1980 (1)

R. Lang, K. Kobayashi, IEEE J. Quantum Elecron. QE-16, 347 (1980).
[CrossRef]

Alalusi, M. R.

M. R. Alalusi, R. B. Darling, IEEE J. Quantum Electron. 31, 1181 (1995).
[CrossRef]

Beausoleil, R. G.

D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
[CrossRef]

Binder, J. O.

J. O. Binder, G. D. Cormack, IEEE J. Quantum Electron. 25, 2255 (1989).
[CrossRef]

Cormack, G. D.

J. O. Binder, G. D. Cormack, IEEE J. Quantum Electron. 25, 2255 (1989).
[CrossRef]

Dahamani, B.

Dandridge, A.

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

Darling, R. B.

M. R. Alalusi, R. B. Darling, IEEE J. Quantum Electron. 31, 1181 (1995).
[CrossRef]

Denboef, A. J.

D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
[CrossRef]

Drullinger, R.

Fleming, M. W.

M. W. Fleming, A. Mooradian, IEEE J. Quantum Electron. QE-17, 44 (1981).
[CrossRef]

Goldberg, L.

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

Hjelme, D. R.

D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
[CrossRef]

Hollberg, L.

Kikuchi, K.

K. Kikuchi, T. Okoshi, Electron. Lett. 18, 10 (1982).
[CrossRef]

Kobayashi, K.

R. Lang, K. Kobayashi, IEEE J. Quantum Elecron. QE-16, 347 (1980).
[CrossRef]

Lang, R.

R. Lang, K. Kobayashi, IEEE J. Quantum Elecron. QE-16, 347 (1980).
[CrossRef]

Langley, L. N.

Lenstra, D.

G. H. M. van Tartwijk, D. Lenstra, Phy. Rev. A 50, R2837 (1994).
[CrossRef]

D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
[CrossRef]

Mark, J.

J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
[CrossRef]

Mikelson, A. R.

D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
[CrossRef]

Miles, R. O.

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

Mooradian, A.

M. W. Fleming, A. Mooradian, IEEE J. Quantum Electron. QE-17, 44 (1981).
[CrossRef]

Mork, J.

L. N. Langley, K. A. Shore, J. Mork, Opt. Lett. 19, 2137 (1994).
[CrossRef] [PubMed]

J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
[CrossRef]

J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
[CrossRef]

B. Tromborg, J. Mork, IEEE J. Quantum Electron. 26, 642 (1990).
[CrossRef]

Okoshi, T.

K. Kikuchi, T. Okoshi, Electron. Lett. 18, 10 (1982).
[CrossRef]

Petermann, K.

J. Wang, K. Petermann, IEEE J. Quantum Electron. 27, 3 (1991).
[CrossRef]

N. Schunk, K. Petermann, IEEE J. Quantum Electron. 24, 1242 (1988).
[CrossRef]

Risken, H.

H. Risken, The Fokker –Planck Equation (Springer-Verlag, Berlin, 1984), Chap. 5, p. 123.

Schunk, N.

N. Schunk, K. Petermann, IEEE J. Quantum Electron. 24, 1242 (1988).
[CrossRef]

Semkow, M.

J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
[CrossRef]

Shore, K. A.

Sigg, J.

J. Sigg, IEEE J. Quantum Electron. 29, 1262 (1993).
[CrossRef]

Taylor, H. F.

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

Tromborg, B.

J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
[CrossRef]

J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
[CrossRef]

B. Tromborg, J. Mork, IEEE J. Quantum Electron. 26, 642 (1990).
[CrossRef]

van Tartwijk, G. H. M.

G. H. M. van Tartwijk, D. Lenstra, Phy. Rev. A 50, R2837 (1994).
[CrossRef]

Verbeek, B. H.

D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
[CrossRef]

Wang, J.

J. Wang, K. Petermann, IEEE J. Quantum Electron. 27, 3 (1991).
[CrossRef]

Weller, J. F.

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

Electron. Lett. (2)

K. Kikuchi, T. Okoshi, Electron. Lett. 18, 10 (1982).
[CrossRef]

J. Mork, M. Semkow, B. Tromborg, Electron. Lett. 26, 609 (1990)D. Lenstra, Opt. Commun. 81, 209 (1991).
[CrossRef]

IEEE J. Quantum Elecron. (1)

R. Lang, K. Kobayashi, IEEE J. Quantum Elecron. QE-16, 347 (1980).
[CrossRef]

IEEE J. Quantum Electron (2)

M. W. Fleming, A. Mooradian, IEEE J. Quantum Electron. QE-17, 44 (1981).
[CrossRef]

D. Lenstra, B. H. Verbeek, A. J. Denboef, IEEE J. Quantum Electron. QE-21, 674 (1985).
[CrossRef]

IEEE J. Quantum Electron. (9)

M. R. Alalusi, R. B. Darling, IEEE J. Quantum Electron. 31, 1181 (1995).
[CrossRef]

J. Mork, B. Tromborg, J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).
[CrossRef]

B. Tromborg, J. Mork, IEEE J. Quantum Electron. 26, 642 (1990).
[CrossRef]

J. Wang, K. Petermann, IEEE J. Quantum Electron. 27, 3 (1991).
[CrossRef]

L. Goldberg, H. F. Taylor, A. Dandridge, J. F. Weller, R. O. Miles, IEEE J. Quantum Electron. QE-18, 555 (1982).
[CrossRef]

J. O. Binder, G. D. Cormack, IEEE J. Quantum Electron. 25, 2255 (1989).
[CrossRef]

D. R. Hjelme, A. R. Mikelson, R. G. Beausoleil, IEEE J. Quantum Electron. 27, 352 (1991).
[CrossRef]

J. Sigg, IEEE J. Quantum Electron. 29, 1262 (1993).
[CrossRef]

N. Schunk, K. Petermann, IEEE J. Quantum Electron. 24, 1242 (1988).
[CrossRef]

Opt. Lett. (2)

Phy. Rev. A (1)

G. H. M. van Tartwijk, D. Lenstra, Phy. Rev. A 50, R2837 (1994).
[CrossRef]

Other (1)

H. Risken, The Fokker –Planck Equation (Springer-Verlag, Berlin, 1984), Chap. 5, p. 123.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. The inset shows the relevant ref lectivities and other cavity parameters. LD, laser diode; BS, beam splitter; NDF, neutral-density filter; PD, photodiode; M, mirror; CRO, storage oscilloscope.

Fig. 2
Fig. 2

Oscilloscope traces at two different feedback levels.

Fig. 3
Fig. 3

Relative transition time as a function of the feedback at constant θ0 along with the predictions of the potential well models.

Fig. 4
Fig. 4

Relative transition time as a function of external-cavity round-trip phase (θ0) at a constant feedback level (−29.4 dB).

Equations (3)

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d d t Δ ϕ ( t ) = - d V ( Δ ϕ ) d Δ ϕ + F Δ ϕ ( t ) ,
V ( Δ ϕ ) = 1 2 ( Δ ϕ ) 2 - γ 1 + α 2 cos ( θ 0 + Δ ϕ ) ,
T = T 0 exp [ Δ V / ( 2 π Δ ν 0 ) ] ,

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