Abstract

Closed-form theoretical expressions for the second- and third-order harmonic distortions generated by a semiconductor optical amplifier (SOA) operating under slight saturation conditions are derived for what is believed to be the first time. The distortion results provided by these expressions agree very well with those obtained by means of simulation and experiments, showing that one should carefully adjust the optical power launched into the SOA to obtain both the good linearity and high dynamic range required by analog optical systems.

© 2003 Optical Society of America

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References

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  1. J. Marti, F. Ramos, and J. Herrera, IEEE Photon. Technol. Lett. 13, 999 (2001).
    [CrossRef]
  2. J. Herrera, F. Ramos, and J. Marti, Electron. Lett. 38, 1115 (2002).
    [CrossRef]
  3. D. H. Jeon, H. D. Jung, and S. K. Han, IEEE Photon. Technol. Lett. 14, 1166 (2002).
    [CrossRef]
  4. R. Boula, M. B. Bibey, N. Vodjani, in Proceedings of 2001 International Topical Meeting on Microwave Photonics, IEEE (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 2001), pp. 137–140.
  5. A. M. Saleh, Electron. Lett. 24, 835 (1988).
    [CrossRef]
  6. A. Sharaiha, IEEE Photon. Technol. Lett. 10, 421 (1998).
    [CrossRef]
  7. K. Obermann, S. Kindt, D. Breuer, and K. Petermann, J. Lightwave Technol. 16, 78 (1998).
    [CrossRef]
  8. A. Mecozzi, IEEE Photon. Technol. Lett. 8, 1471 (1996).
    [CrossRef]

Bibey, M. B.

R. Boula, M. B. Bibey, N. Vodjani, in Proceedings of 2001 International Topical Meeting on Microwave Photonics, IEEE (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 2001), pp. 137–140.

Boula, R.

R. Boula, M. B. Bibey, N. Vodjani, in Proceedings of 2001 International Topical Meeting on Microwave Photonics, IEEE (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 2001), pp. 137–140.

Vodjani, N.

R. Boula, M. B. Bibey, N. Vodjani, in Proceedings of 2001 International Topical Meeting on Microwave Photonics, IEEE (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 2001), pp. 137–140.

Other (8)

J. Marti, F. Ramos, and J. Herrera, IEEE Photon. Technol. Lett. 13, 999 (2001).
[CrossRef]

J. Herrera, F. Ramos, and J. Marti, Electron. Lett. 38, 1115 (2002).
[CrossRef]

D. H. Jeon, H. D. Jung, and S. K. Han, IEEE Photon. Technol. Lett. 14, 1166 (2002).
[CrossRef]

R. Boula, M. B. Bibey, N. Vodjani, in Proceedings of 2001 International Topical Meeting on Microwave Photonics, IEEE (Institute of Electrical and Electronic Engineers, Piscataway, N.J., 2001), pp. 137–140.

A. M. Saleh, Electron. Lett. 24, 835 (1988).
[CrossRef]

A. Sharaiha, IEEE Photon. Technol. Lett. 10, 421 (1998).
[CrossRef]

K. Obermann, S. Kindt, D. Breuer, and K. Petermann, J. Lightwave Technol. 16, 78 (1998).
[CrossRef]

A. Mecozzi, IEEE Photon. Technol. Lett. 8, 1471 (1996).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Experimental arrangement used to measure the nonlinear distortion generated by the SOA booster. MZ–EOM, Mach–Zehnder electro-optical modulator.

Fig. 2
Fig. 2

(a) Photodetected rf power and (b) harmonic distortions at the output of the SOA as a function of the SOA input power. 2HD and 3HD, second- and third-harmonic distortion, respectively.

Fig. 3
Fig. 3

Harmonic distortions (HDs) as a function of the modulation frequency for different SOA input powers.

Equations (5)

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

Pint=PSOA1+m cosΩt,
IRF=12mPS10-Lout/10×expG1+PS/Psat+jΩτc1+PS expG/Psat+jΩτc,
PSPsatexpG-1=G0-G,
2HD=-12mxSexpG-11+jΩ2τc1+xS2expG+1+jΩτc1+xS+jΩτc1+xS expG+jΩτc1+xS expG+jΩ2τc,
3HD=14m2xS2expG-11+jΩ3τc1+xS expG+jΩτc1+xS expG+jΩ3τc×expG1+12xSexpG+1+jΩτc1+xS expG+jΩτc1+xS expG+jΩ2τc+12expG-11+xS+jΩτc,

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