Abstract

The turn-on delay jitter of single-mode semiconductor lasers subjected to optical feedback from a phase-conjugate mirror in short external cavities is studied. We develop a theory, validated by numerical simulations, to obtain the turn-on time distribution. It is shown that the turn-on time statistics are highly sensitive to the linewidth enhancement factor.

© 1995 Optical Society of America

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References

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  1. G. P. Agrawal, N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).
  2. K. Petermann, Laser Diode Modulation and Noise (Kluwer, Dordrecht, The Netherlands, 1988).
    [CrossRef]
  3. E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
    [CrossRef]
  4. G. P. Agrawal, J. T. Klaus, Opt. Lett. 16, 1325 (1991).
    [CrossRef] [PubMed]
  5. G. H. M. van Tartwijk, H. J. C. van der Linden, D. Lenstra, Opt. Lett. 17, 1590 (1992).
    [CrossRef] [PubMed]
  6. G. P. Agrawal, G. R. Gray, Phys. Rev. A 46, 5890 (1992).
    [CrossRef] [PubMed]
  7. L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
    [CrossRef] [PubMed]

1994 (1)

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

1993 (1)

1992 (2)

1991 (1)

Agrawal, G. P.

G. P. Agrawal, G. R. Gray, Phys. Rev. A 46, 5890 (1992).
[CrossRef] [PubMed]

G. P. Agrawal, J. T. Klaus, Opt. Lett. 16, 1325 (1991).
[CrossRef] [PubMed]

G. P. Agrawal, N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).

Dutta, N. K.

G. P. Agrawal, N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).

Gray, G. R.

G. P. Agrawal, G. R. Gray, Phys. Rev. A 46, 5890 (1992).
[CrossRef] [PubMed]

Hernández-García, E.

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

Klaus, J. T.

Langley, L. N.

Lenstra, D.

Mirasso, C. R.

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

Petermann, K.

K. Petermann, Laser Diode Modulation and Noise (Kluwer, Dordrecht, The Netherlands, 1988).
[CrossRef]

San Miguel, M.

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

Shore, K. A.

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

L. N. Langley, K. A. Shore, Opt. Lett. 18, 1432 (1993).
[CrossRef] [PubMed]

van der Linden, H. J. C.

van Tartwijk, G. H. M.

IEEE J. Quantum Electron. (1)

E. Hernández-García, C. R. Mirasso, K. A. Shore, M. San Miguel, IEEE J. Quantum Electron. 30, 241 (1994).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (1)

G. P. Agrawal, G. R. Gray, Phys. Rev. A 46, 5890 (1992).
[CrossRef] [PubMed]

Other (2)

G. P. Agrawal, N. K. Dutta, Long-Wavelength Semiconductor Lasers (Van Nostrand Reinhold, New York, 1986).

K. Petermann, Laser Diode Modulation and Noise (Kluwer, Dordrecht, The Netherlands, 1988).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

(a) Carrier number (dotted line). The effective threshold in (a) and the turn-on time distribution in (b) correspond to numerical simulations for α = 0 (dashed curves) and α = 5.5 (solid curves). The dashed–dotted curves in (b) correspond to the theory. Feedback parameter values: κ = 0.1 ps−1 and τ = 1 ps.

Fig. 2
Fig. 2

Turn-on time 〈T〉 and its jitter σT versus α for κ = 0.02 ps−1; τ = 1 ps (asterisks) and τ = 5 ps (diamonds) from numerical simulations (symbols) and theory (solid curves). The arrows show the values without feedback.

Fig. 3
Fig. 3

Turn-on jitter versus κ (τ = 1 ps) and τ (κ = 0.1 ps−1) for two values of α: 0 (asterisks) and 1 (diamonds). Solid curves correspond to the theory and the dashed line to Eq. (5).

Equations (6)

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E ˙ = q ( t ) E ( t ) + κ E * ( t - τ ) + 2 β N ( t ) ξ ( t ) ,
N ˙ = C ( t ) - N ( t ) γ e - G ( t ) I ( t ) ,
E ˙ = [ q - κ 2 τ exp ( - 2 τ q r ) ] E ( t ) + κ exp ( - τ q * ) E * ( t ) + 2 β N [ ξ ( t ) - κ τ exp ( - τ q * ) ξ * ( t ) ] .
N th eff = N th - ( 2 k / g ) × [ cos  2 ϕ + κ τ sin  2 ϕ ( α cos  2 ϕ - sin 2 ϕ ) ] ,
x i ( t ) = 2 β i ( 2 π / a i ) N th i exp [ a i 2 ( t - t th i ) 2 ] ,
P ( T ) = ( I r / 2 π b 1 ) a 1 ( T - t th 1 ) exp [ - a 1 4 ( T - t th 1 ) 2 ] × exp { - I r 2 b 1 exp [ - a 1 2 ( T - t th 1 ) 2 ] } ,

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