Abstract

By comparing the noise power spectra of the fundamental pulses and those of the second-harmonic pulses, the peak intensity fluctuation, the pulse-width fluctuation, the pulse timing jitter, and the cross correlation between the pulse width and the peak intensity fluctuations of a mode-locked pulse train can be separately quantified. The noise characteristics of an actively mode-locked Nd:YLF laser are presented to demonstrate this technique.

© 1995 Optical Society of America

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References

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  1. D. von der Linde, Appl. Phys. B 39, 201 (1986).
    [CrossRef]
  2. U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
    [CrossRef]
  3. M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
    [CrossRef]
  4. A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
    [CrossRef]
  5. U. Keller, C. E. Soccolich, G. Sucha, M. N. Islam, M. Wegener, Opt. Lett. 15, 974 (1990).
    [CrossRef] [PubMed]
  6. J. Son, J. V. Rudd, J. F. Whitaker, Opt. Lett. 17, 733 (1992).
    [CrossRef] [PubMed]
  7. I. G. Fuss, IEEE J. Quantum Electron. 30, 2707 (1994).
    [CrossRef]
  8. A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1984), p. 324.
  9. H. A. Haus, A. Mecozzi, IEEE. J. Quantum Electron. 29, 983 (1993).
    [CrossRef]

1994 (1)

I. G. Fuss, IEEE J. Quantum Electron. 30, 2707 (1994).
[CrossRef]

1993 (1)

H. A. Haus, A. Mecozzi, IEEE. J. Quantum Electron. 29, 983 (1993).
[CrossRef]

1992 (1)

1990 (2)

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

U. Keller, C. E. Soccolich, G. Sucha, M. N. Islam, M. Wegener, Opt. Lett. 15, 974 (1990).
[CrossRef] [PubMed]

1989 (2)

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
[CrossRef]

1986 (1)

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

Bloom, D. M.

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
[CrossRef]

Finch, A.

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

Fuss, I. G.

I. G. Fuss, IEEE J. Quantum Electron. 30, 2707 (1994).
[CrossRef]

Haus, H. A.

H. A. Haus, A. Mecozzi, IEEE. J. Quantum Electron. 29, 983 (1993).
[CrossRef]

Islam, M. N.

Kean, P. N.

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

Keller, U.

U. Keller, C. E. Soccolich, G. Sucha, M. N. Islam, M. Wegener, Opt. Lett. 15, 974 (1990).
[CrossRef] [PubMed]

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

Li, K. D.

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

Mecozzi, A.

H. A. Haus, A. Mecozzi, IEEE. J. Quantum Electron. 29, 983 (1993).
[CrossRef]

Papoulis, A.

A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1984), p. 324.

Rodwell, M.

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

Rodwell, M. J.

M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
[CrossRef]

Rudd, J. V.

Sibbett, W.

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

Soccolich, C. E.

Son, J.

Sucha, G.

von der Linde, D.

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

Wegener, M.

Weingarten, K. J.

M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
[CrossRef]

Whitaker, J. F.

Zhu, X.

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

Appl. Phys. B (1)

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

IEEE J. Quantum Electron. (4)

U. Keller, K. D. Li, M. Rodwell, D. M. Bloom, IEEE J. Quantum Electron. 25, 280 (1989).
[CrossRef]

M. J. Rodwell, D. M. Bloom, K. J. Weingarten, IEEE J. Quantum Electron. 25, 817 (1989).
[CrossRef]

A. Finch, X. Zhu, P. N. Kean, W. Sibbett, IEEE J. Quantum Electron. 26, 1115 (1990).
[CrossRef]

I. G. Fuss, IEEE J. Quantum Electron. 30, 2707 (1994).
[CrossRef]

IEEE. J. Quantum Electron. (1)

H. A. Haus, A. Mecozzi, IEEE. J. Quantum Electron. 29, 983 (1993).
[CrossRef]

Opt. Lett. (2)

Other (1)

A. Papoulis, Probability, Random Variables, and Stochastic Processes (McGraw-Hill, New York, 1984), p. 324.

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Figures (1)

Fig. 1
Fig. 1

(a) Normalized single-sideband energy noise spectral density, (b) normalized single-sideband jitter noise spectral density of the fundamental and the second-harmonic pulses of an actively mode-locked Nd:YLF laser in units of decibels below the carrier in a 1-Hz bandwidth.

Tables (1)

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Table 1 Noise Parameters of the Fundamental and Second-Harmonic Pulses

Equations (8)

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I k ( t ) n = - + ( I 1 + I 1 n ) k h k ( t - n T - T 1 n Δ t 1 + Δ t 1 n ) ,
i k ( t ) = - + g k ( t - t ) I k ( t ) d t ,
P i k ( f ) = g k ( f ) 2 P I k ( f ) ,
S n k ( f ) = k 2 S I ^ 1 ( f ) + S Δ t 1 ( f ) Δ t 1 2 + 2 k Re [ S Δ t 1 I ^ 1 ( f ) ] Δ t 1 + 2 { k Im [ S T I ^ 1 ( f ) ] + Im [ S T Δ t 1 ( f ) ] Δ t 1 } ( 2 π n f 0 ) + { S T ( f ) - β k S Δ t 1 ( f ) - k β k Δ t 1 × Re [ S Δ t 1 I ^ 1 ( f ) ] } ( 2 π n f 0 ) 2 = S E ^ k ( f ) + S T E ^ k ( f ) ( 2 π n f 0 ) + S J k ( f ) ( 2 π n f 0 ) 2 ,
σ E ^ 1 2 = σ I ^ 1 2 + σ Δ t 1 2 Δ t 1 2 + 2 Δ t 1 C Δ t 1 I ^ 1 ,
σ E ^ 2 2 = 4 σ I ^ 1 2 + σ Δ t 1 2 Δ t 1 2 + 4 Δ t 1 C Δ t 1 I ^ 1 ,
σ J 1 2 = σ T 1 2 - β 1 σ Δ t 1 2 - β 1 Δ t 1 C Δ t 1 I ^ 1 ,
σ J 2 2 = σ T 1 2 - β 2 σ Δ t 1 2 - 2 β 2 Δ t 1 C Δ t 1 I ^ 1 ,

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