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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 15, Iss. 9 — Sep. 1, 1998
  • pp: 2433–2438

Coupling effects of signal and pump beams in three-level saturable-gain media

Yuri Mitnick, Moshe Horowitz, and Baruch Fischer  »View Author Affiliations

JOSA B, Vol. 15, Issue 9, pp. 2433-2438 (1998)

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We theoretically investigate new coupling and indirect wave-mixing effects formed in a three-level atomic gain medium that is optically pumped by two mutually coherent beams that propagate in opposite directions. The interference of the pump beams and the saturation effects caused by the signal waves periodically modulate the gain along the amplifier that is due to spatial hole burning. In cases when the interference patterns of the pump and the signal waves are spatially synchronized, the signal gain becomes dependent on the frequencies and the optical phases of the pump and the signal waves. This dependence can be used for obtaining controllable narrow-band filters and for obtaining single-mode operation in lasers.

© 1998 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(140.3510) Lasers and laser optics : Lasers, fiber
(140.3570) Lasers and laser optics : Lasers, single-mode
(190.7070) Nonlinear optics : Two-wave mixing

Yuri Mitnick, Moshe Horowitz, and Baruch Fischer, "Coupling effects of signal and pump beams in three-level saturable-gain media," J. Opt. Soc. Am. B 15, 2433-2438 (1998)

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  1. R. Abrams and R. Lind, “Degenerate four-wave mixing in absorbing media,” Opt. Lett. 2, 94–96 (1978).
  2. G. J. Dunning and D. G. Steel, “Effects of unequal pump intensity in resonantly enhanced degenerate four wave mixing,” IEEE J. Quantum Electron. 18, 3–5 (1982).
  3. P. J. Soan, A. D. Case, M. J. Damzen, and M. H. R. Hutchinson, “High-reflectivity four-wave mixing by saturable gain in Rhodamine 6G dye,” Opt. Lett. 17, 781–783 (1992).
  4. M. Gruneisen, A. L. Gaeta, and R. W. Boyd, “Exact theory of pump-wave propagation and its effect on degenerate four-wave mixing in saturable-absorber media,” J. Opt. Soc. Am. B 2, 117–1121 (1985).
  5. J. N. Nilsen and A. Yariv, “Non-degenerate four-wave mixing in a homogeneously broadened two level system with saturating pump waves,” IEEE J. Quantum Electron. 18, 1947–1952 (1982).
  6. D. Timotijevic, M. Belic, and R. W. Boyd, “Two and four wave mixing with saturable absorption and gain,” IEEE J. Quantum Electron. 28, 1915–1921 (1992).
  7. B. Fischer, J. L. Zyskind, J. W. Sulhoff, and D. J. DiGiovanni, “Nonlinear four-wave mixing in erbium-doped fibre amplifiers,” Electron. Lett. 29, 1858–1859 (1993); “Nonlinear wave mixing and induced gratings in erbium-doped fiber amplifiers,” Opt. Lett. 18, 2108–2110 (1993).
  8. S. J. Frisken, “Transient Bragg reflection gratings in erbium-doped fiber amplifiers,” Opt. Lett. 17, 1776–1778 (1992).
  9. P. Meystre and M. Sargent, Elements of Quantum Optics (Springer-Verlag, Berlin, 1991), p. 185.
  10. G. P. Agrawal and M. Lax, “Effects of interference on gain saturation in laser resonators,” J. Opt. Soc. Am. 69, 1717–1719 (1979); “Analytic evaluation of interference effects on laser output in a Fabry–Perot resonator,” J. Opt. Soc. Am. 71, 515–519 (1980).
  11. M. Horowitz, R. Daisy, B. Fischer, and J. Zyskind, “Linewidth-narrowing mechanism in lasers by nonlinear wave mixing,” Opt. Lett. 19, 1404–1406 (1994); “Narrow linewidth, single mode erbium-doped fiber laser with intracavity wave-mixing in saturable absorber,” Electron. Lett. 30, 648–649 (1994).
  12. M. Horowitz, R. Daisy, and B. Fischer, “Single-mode ring laser self-induced three-mirror cavity formed by intracavity wave mixing in a saturable absorber,” Opt. Lett. 21, 299–301 (1995).
  13. Y. Cheng, J. T. Kringebotn, W. H. Loh, R. I. Lamming, and D. N. Payne, “Stable single-frequency traveling-wave fiber loop laser with an integral saturable-absorber-based tracking narrow-band filter,” Opt. Lett. 20, 875–877 (1995).
  14. R. Paschota, J. Nilsson, L. Reekie, A. C. Trooper, and D. C. Hanna, “Single-frequency ytterbium-doped fiber laser stabilized by spatial hole burning,” Opt. Lett. 22, 40–42 (1997).
  15. Y. Mitnick, M. Horowitz, and B. Fischer, “Bistability in cavities with erbium-doped fiber amplifier due to bidirectional pump-beam interference,” J. Opt. Soc. Am. B, 2079–2082 (1997).
  16. C. R. Giles and E. Desurvire, “Modeling erbium-doped fiber amplifiers,” J. Lightwave Technol. 9, 271–283 (1991).
  17. E. Desurvire, “Study of the complex atomic susceptibility of erbium-doped fiber amplifiers,” J. Lightwave Technol. 8, 1517–1527 (1990).
  18. W. J. Miniscalo, “Erbium-doped glasses for fiber amplifiers at 1500 nm,” J. Lightwave Technol. 9, 234–249 (1991).

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