Abstract

We examine the statistical properties of mode-locked laser light in which each frequency component is subsequently given a constant, independent, and random phase shift. We find that, under certain conditions, this random phase encoding produces a pseudorandom light intensity that is statistically equivalent to that of a free-running multimode laser, with a negative exponential intensity-probability distribution.

© 1989 Optical Society of America

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References

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  1. A. M. Weiner, J. P. Heritage, J. A. Salehi, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), pp. 294–296.
  2. A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
    [CrossRef] [PubMed]
  3. J. P. Heritage, A. M. Weiner, R. N. Thurston, Opt. Lett. 10, 609 (1985).
    [CrossRef] [PubMed]
  4. A. M. Weiner, J. P. Heritage, R. N. Thurston, Opt. Lett. 11, 153(1986).
    [CrossRef] [PubMed]
  5. R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
    [CrossRef]
  6. A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
    [CrossRef]
  7. A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
    [CrossRef]
  8. R. Loudon, The Quantum Theory of Light, 2nd ed. (Oxford U. Press, New York, 1983).
  9. M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
    [CrossRef]
  10. H. A. Pike, M. Hercher, J. Appl. Phys. 41, 4562 (1970).
    [CrossRef]
  11. J. A. Salehi, A. M. Weiner, J. P. Heritage, submitted to IEEE Trans. Commun.

1988 (1)

1986 (2)

A. M. Weiner, J. P. Heritage, R. N. Thurston, Opt. Lett. 11, 153(1986).
[CrossRef] [PubMed]

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

1985 (1)

1970 (2)

M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
[CrossRef]

H. A. Pike, M. Hercher, J. Appl. Phys. 41, 4562 (1970).
[CrossRef]

1969 (2)

A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
[CrossRef]

A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
[CrossRef]

Dandliker, R.

A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
[CrossRef]

A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
[CrossRef]

Duguay, M. A.

M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
[CrossRef]

Grutter, A. A.

A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
[CrossRef]

A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
[CrossRef]

Hansen, J. W.

M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
[CrossRef]

Hercher, M.

H. A. Pike, M. Hercher, J. Appl. Phys. 41, 4562 (1970).
[CrossRef]

Heritage, J. P.

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. N. Thurston, Opt. Lett. 11, 153(1986).
[CrossRef] [PubMed]

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

J. P. Heritage, A. M. Weiner, R. N. Thurston, Opt. Lett. 10, 609 (1985).
[CrossRef] [PubMed]

J. A. Salehi, A. M. Weiner, J. P. Heritage, submitted to IEEE Trans. Commun.

A. M. Weiner, J. P. Heritage, J. A. Salehi, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), pp. 294–296.

Loudon, R.

R. Loudon, The Quantum Theory of Light, 2nd ed. (Oxford U. Press, New York, 1983).

Pike, H. A.

H. A. Pike, M. Hercher, J. Appl. Phys. 41, 4562 (1970).
[CrossRef]

Salehi, J. A.

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

J. A. Salehi, A. M. Weiner, J. P. Heritage, submitted to IEEE Trans. Commun.

A. M. Weiner, J. P. Heritage, J. A. Salehi, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), pp. 294–296.

Shapiro, S. L.

M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
[CrossRef]

Thurston, R. N.

Tomlinson, W. J.

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

Weber, H. P.

A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
[CrossRef]

A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
[CrossRef]

Weiner, A. M.

A. M. Weiner, J. P. Heritage, J. A. Salehi, Opt. Lett. 13, 300 (1988).
[CrossRef] [PubMed]

A. M. Weiner, J. P. Heritage, R. N. Thurston, Opt. Lett. 11, 153(1986).
[CrossRef] [PubMed]

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

J. P. Heritage, A. M. Weiner, R. N. Thurston, Opt. Lett. 10, 609 (1985).
[CrossRef] [PubMed]

J. A. Salehi, A. M. Weiner, J. P. Heritage, submitted to IEEE Trans. Commun.

A. M. Weiner, J. P. Heritage, J. A. Salehi, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), pp. 294–296.

IEEE J. Quantum Electron. (2)

R. N. Thurston, J. P. Heritage, A. M. Weiner, W. J. Tomlinson, IEEE J. Quantum Electron. QE-22, 682 (1986).
[CrossRef]

M. A. Duguay, J. W. Hansen, S. L. Shapiro, IEEE J. Quantum Electron. QE-6, 725 (1970).
[CrossRef]

J. Appl. Phys. (1)

H. A. Pike, M. Hercher, J. Appl. Phys. 41, 4562 (1970).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. (1)

A. A. Grutter, H. P. Weber, R. Dandliker, Phys. Rev. 185, 629 (1969).
[CrossRef]

Z. Agnew. Math. Phys. (1)

A. A. Grutter, R. Dandliker, H. P. Weber, Z. Agnew. Math. Phys. 20, 574 (1969).
[CrossRef]

Other (3)

R. Loudon, The Quantum Theory of Light, 2nd ed. (Oxford U. Press, New York, 1983).

J. A. Salehi, A. M. Weiner, J. P. Heritage, submitted to IEEE Trans. Commun.

A. M. Weiner, J. P. Heritage, J. A. Salehi, in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1987), pp. 294–296.

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Figures (3)

Fig. 1
Fig. 1

Dispersion-free pulse encoding apparatus.

Fig. 2
Fig. 2

Encoded mode-locked pulses (P0 = 1). A, p = 0, N0 = 41; B, p = 0.9, N0 = 41; C, p = 0.5, N0 = 127.

Fig. 3
Fig. 3

Intensity autocorrelation for encoded mode-locked pulses. A, p = 0, N0 = 41; B, p = 0.9, N0 = 41; C, p = 0.5, N0 = 127.

Equations (7)

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I ( t ) = ( P 0 N 0 2 ) ( N 0 + n = N N m n = N N exp { i [ ( n m ) Ω t + φ n φ m ] } ) ,
P φ ( φ ) = ( φ ) + ( φ π ) ,
I ( t ) = I ( t ) t + ( p q ) 2 [ I I ( t ) I ( t ) t ] ,
I ( 0 ) = P 0 N 0 [ 1 ( p q ) 2 ] + P 0 ( p q ) 2 .
I 2 ( t ) t = 2 P 0 2 N 0 2 ( 1 1 2 N 0 ) 2 P 0 2 N 0 2 for N 0 1 .
[ I 2 ( t ) t I 2 ( t ) 2 ] 1 / 2 = P 0 / N 0 .
P I ( I ) = N 0 P 0 exp ( I N 0 P 0 ) .

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