Abstract

We present a study of nonlinear wave mixing in erbium-doped fiber amplifiers. Wave mixing is demonstrated in dynamic gain gratings induced by counterpropagating beams from a diode laser.

© 1993 Optical Society of America

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References

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  1. J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).
  2. K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
    [CrossRef]
  3. R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
    [CrossRef]
  4. R. J. Soan, A. D. Case, H. R. Hutchinson, Opt. Lett. 17, 781 (1992).
    [CrossRef] [PubMed]
  5. D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
    [CrossRef]
  6. S. J. Frisken, Opt. Lett. 17, 1776 (1992).
    [CrossRef] [PubMed]
  7. C. R. Giles, E. Desurvire, Opt. Lett. 14, 880 (1989).
    [CrossRef] [PubMed]
  8. B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
    [CrossRef]
  9. E. Desurvire, J. Lightwave Technol. 8, 1517 (1990).
    [CrossRef]
  10. R. P. Agrawal, M. Lax, J. Opt. Soc. Am. 71, 515 (1981).
    [CrossRef]
  11. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.
  12. B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
    [CrossRef]

1993 (1)

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

1992 (5)

R. J. Soan, A. D. Case, H. R. Hutchinson, Opt. Lett. 17, 781 (1992).
[CrossRef] [PubMed]

D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
[CrossRef]

S. J. Frisken, Opt. Lett. 17, 1776 (1992).
[CrossRef] [PubMed]

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

1990 (1)

E. Desurvire, J. Lightwave Technol. 8, 1517 (1990).
[CrossRef]

1989 (2)

C. R. Giles, E. Desurvire, Opt. Lett. 14, 880 (1989).
[CrossRef] [PubMed]

B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
[CrossRef]

1987 (1)

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

1981 (1)

Agrawal, R. P.

Belic, M.

D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
[CrossRef]

Boyd, R.

D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
[CrossRef]

Case, A. D.

Desurvire, E.

DiGiovanni, D. J.

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

Elasser, W.

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

Fenz, L.

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

Fischer, B.

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
[CrossRef]

Frisken, S. J.

Giles, C. R.

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

C. R. Giles, E. Desurvire, Opt. Lett. 14, 880 (1989).
[CrossRef] [PubMed]

Gobel, E. O.

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

Hutchinson, H. R.

Kakuri, M.

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

Kikuchi, K.

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

Lax, M.

Lee, T.-P.

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

Nietzke, R.

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

Siegman, A. E.

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.

Simpson, J. R.

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

Soan, R. J.

Sternklar, S.

B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
[CrossRef]

Sulhoff, J. W.

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

Timotijevic, D.

D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
[CrossRef]

Weiss, S.

B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
[CrossRef]

Zah, C.-E.

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

Zyskind, J. L.

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

Appl. Phys. Lett. (1)

R. Nietzke, L. Fenz, W. Elasser, E. O. Gobel, Appl. Phys. Lett. 51, 1298 (1987).
[CrossRef]

AT&T Tech. J. (1)

J. L. Zyskind, C. R. Giles, D. J. DiGiovanni, J. R. Simpson, AT&T Tech. J. 71, 53 (1992).

Electron. Lett. (1)

B. Fischer, J. L. Zyskind, J. W. Sulhoff, D. J. DiGiovanni, Electron. Lett. 29, 1858 (1993).
[CrossRef]

IEEE J. Quantum Electron. (3)

D. Timotijevic, M. Belic, R. Boyd, IEEE J. Quantum Electron. 28, 1915 (1992).
[CrossRef]

K. Kikuchi, M. Kakuri, C.-E. Zah, T.-P. Lee, IEEE J. Quantum Electron. 28, 151 (1992).
[CrossRef]

B. Fischer, S. Sternklar, S. Weiss, IEEE J. Quantum Electron. 25, 550 (1989).
[CrossRef]

J. Lightwave Technol. (1)

E. Desurvire, J. Lightwave Technol. 8, 1517 (1990).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (3)

Other (1)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), p. 321.

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Figures (3)

Fig. 1
Fig. 1

Experimental setup. DFB, distributed-feedback diode laser; OI's, optical isolators; PC's, polarization controllers; MOD, lithium niobate modulator; IF, interference filter; VA, variable attenuator; RFSA, rf spectrum analyzer; WDM's, wavelength-division multiplexers for 980 and 1550 nm; EDF, erbium-doped fiber under test.

Fig. 2
Fig. 2

Synchronous signal as a function of vmod corresponding to two-wave mixing of the mutually coherent beams.

Fig. 3
Fig. 3

Synchronous signal as a function of νmod when the signal line includes a 4.86-km length of single-mode fiber.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

d A 1 d z = g ( 1 I 1 + I 2 I s ) A 1 g A 1 A 2 I s A 2 ,
d A 2 d z = g ( 1 I 1 + I 2 I s ) A 2 + g A 1 A 2 I s A 1 ,
A 1 ( z = L ) = A 1 ( z = 0 ) exp ( g L ) × exp ( qgL I 2 / I s ) exp [ pgL δ I 2 ( t ) / I s ] A 1 ( z = 0 ) exp ( g L ) × exp ( qgL I 2 / I s ) [ 1 pgL δ I 2 ( t ) / I s ] .

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