Abstract

Measurement of mode chirping in a current-modulated semiconductor laser was performed using a Michelson interferometer. For a current step excitation, the rate of this chirping decays as a function of time, and two characteristic time constants were identified. Their interpretation is discussed, and the thermal impedance of the device is calculated. In addition, the significance of such a measurement for the analysis of chirp-induced modal noise in optical fibers is discussed, and experimental results are presented.

© 1981 Optical Society of America

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References

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  1. R. E. Epworth, in Technical Digest, Second International Conference IOOC (Koninklijk Instituut van Ingeniers, Amsterdam, 1979).
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), p. 491.
  3. G. A. Vanasse, H. Sakai, Prog. Opt. 6, 259 (1967).
  4. A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).
  5. M. Beran, G. Parrent, Theory of Partial Coherence (SPIE, New York, 1974), p. 10.
  6. W. Nakwaski, Electron Technol. 10, 3 (1977).
  7. J. S. Manning, J. Appl. Phys. 52, 4 (1981).
  8. K. O. Hill, Y. Tremblay, B. S. Kawasaki, Opt. Lett. 5, 270 (1980).

1981

J. S. Manning, J. Appl. Phys. 52, 4 (1981).

1980

1979

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

1977

W. Nakwaski, Electron Technol. 10, 3 (1977).

1967

G. A. Vanasse, H. Sakai, Prog. Opt. 6, 259 (1967).

Beran, M.

M. Beran, G. Parrent, Theory of Partial Coherence (SPIE, New York, 1974), p. 10.

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), p. 491.

David, C. D.

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

Epworth, R. E.

R. E. Epworth, in Technical Digest, Second International Conference IOOC (Koninklijk Instituut van Ingeniers, Amsterdam, 1979).

Hill, K. O.

Kawasaki, B. S.

Lawley, K. L.

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

Manning, J. S.

J. S. Manning, J. Appl. Phys. 52, 4 (1981).

Nakwaski, W.

W. Nakwaski, Electron Technol. 10, 3 (1977).

Parrent, G.

M. Beran, G. Parrent, Theory of Partial Coherence (SPIE, New York, 1974), p. 10.

Reisinger, A. R.

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

Sakai, H.

G. A. Vanasse, H. Sakai, Prog. Opt. 6, 259 (1967).

Tremblay, Y.

Vanasse, G. A.

G. A. Vanasse, H. Sakai, Prog. Opt. 6, 259 (1967).

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), p. 491.

Yariv, A.

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

Electron Technol.

W. Nakwaski, Electron Technol. 10, 3 (1977).

IEEE J. Quantum Electron.

A. R. Reisinger, C. D. David, K. L. Lawley, A. Yariv, IEEE J. Quantum Electron. QE-15, 1382 (1979).

J. Appl. Phys.

J. S. Manning, J. Appl. Phys. 52, 4 (1981).

Opt. Lett.

Prog. Opt.

G. A. Vanasse, H. Sakai, Prog. Opt. 6, 259 (1967).

Other

M. Beran, G. Parrent, Theory of Partial Coherence (SPIE, New York, 1974), p. 10.

R. E. Epworth, in Technical Digest, Second International Conference IOOC (Koninklijk Instituut van Ingeniers, Amsterdam, 1979).

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), p. 491.

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Figures (3)

Fig. 1
Fig. 1

Michelson interferometer arrangement used to evaluate laser mode chirping effects. All the measurements were made with the path length difference between the two arms adjusted to one of the relative peaks of fringe visibility. As shown, the mirrors are tilted for nonnormal incidence to prevent reflection of light back into the diode laser.

Fig. 2
Fig. 2

Oscilloscope trace of the time variation (20 μsec/div) of light intensity at a point in the output observation plane of the interferometer. Upper trace shows the drive current pulse.

Fig. 3
Fig. 3

Plot of measured wavelength chirping rate per unit dissipated power for four combinations of drive current bias and pulse height. Solid curve is the dual time-constant function discussed in the text.

Equations (12)

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E ( t ) = E 0 exp [ i ϕ ( t ) ] ,
I ( t ) = E 0 2 | exp [ i ϕ ( t + τ ) ] + exp [ i ϕ ( t ) ] | 2 ,
= 2 I 0 { 1 + β cos [ ϕ ( t + τ ) ϕ ( t ) ] } .
ϕ ( t + τ ) ϕ ( t ) = d ϕ d t τ .
I ( t ) = 2 I 0 [ 1 + β cos ( d ϕ d t τ ) ] ,
= 2 I 0 { 1 + β cos [ ω ( t ) τ ] } .
Ω ( t ) = d ω d t τ ,
Ω ( t ) = 2 π d λ d t c τ / λ 2 = 4 π d λ d t d / λ 2 ,
d λ d t = λ 2 4 π d Ω ( t )
1 Δ P d λ d t = A 1 exp ( t / τ 1 ) + A 2 exp ( t / τ 2 )
d T d t = λ 2 4 π α d Ω ( t ) .
R T = 1 α ( A 1 τ 1 + A 2 τ 2 ) .

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