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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 5 — May. 1, 2008
  • pp: 841–848

Solutions for first- and second-order four-wave mixing cross talk in one-pump fiber optical parametric amplifiers

M. E. Marhic and J. M. Chavez Boggio  »View Author Affiliations


JOSA B, Vol. 25, Issue 5, pp. 841-848 (2008)
http://dx.doi.org/10.1364/JOSAB.25.000841


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Abstract

We show that the set of two coupled differential equations governing a four-wave mixing (FWM) component and its associated idler in a one-pump fiber optical parametric amplifier are the same as for standard parametric amplification, but with additional source terms arising from FWM between already-calculated waves. We show how to solve this new set of equations in general: this involves multiplication by an exponential matrix and its inverse, and integration. Hence it is in principle possible to write the exact expressions for the cross-talk fields, in terms of a large number of exponentials. The results show that the power of the first- and second-order cross-talk terms scales, respectively, like the first and second power of the signal power. In the case of two input signals, the powers of the cross-talk terms are independent of the phases of the signals, hence phase control cannot be used for reducing cross talk. In a particular case, cross talk scales like the inverse of pump power, which confirms a general trend noted in numerical simulations, and experiments.

© 2008 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 18, 2007
Revised Manuscript: February 19, 2008
Manuscript Accepted: March 5, 2008
Published: April 30, 2008

Citation
M. E. Marhic and J. M. Chavez Boggio, "Solutions for first- and second-order four-wave mixing cross talk in one-pump fiber optical parametric amplifiers," J. Opt. Soc. Am. B 25, 841-848 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-5-841


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References

  1. K. Krastev and J. Rothman, “Crosstalk in fiber parametric amplifier,” in Proceedings of the 27th European Conference on Optical Communication (ECOC '01) (2001), Vol. 1, pp. 378-379.
  2. F. A. Callegari, J. M. Chavez Boggio, and H. L. Fragnito, “Crosstalk mitigation in fiber optic parametric amplifier,” in Proceedings of the 15th Laser and Electro-Optics Society Annual Meeting, LEOS 2002 (2002), pp. 383-384. [CrossRef]
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  8. M. E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge Univ. Press, 2007). Chap. 13. [CrossRef]
  9. J. M. Chavez Boggio, J. D. Marconi, and H. L. Fragnito, “Crosstalk in double-pumped fiber optic parametric amplifiers for wavelength division multiplexing systems,” Opt. Commun. 259, 94-103 (2006). [CrossRef]
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  11. http://www.wolfram.com.

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