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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 171–180

Off-resonant self- and cross-phase-modulation-induced modulation instabilities in single-mode rare-earth-doped fiber amplifiers

Todor Mirtchev  »View Author Affiliations


JOSA B, Vol. 15, Issue 1, pp. 171-180 (1998)
http://dx.doi.org/10.1364/JOSAB.15.000171


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Abstract

We present an analytical model of the self- and cross-phase-modulation-induced modulation instabilities in nonlinear, dispersive, homogeneously broadened, unsaturable fiber amplifiers. The rigorous treatment of the gain dispersion and of the gain-induced, near-resonance refractive-index dispersion permits description of the general case of arbitrary detuning between the laser frequency and the resonance and arbitrary bandwidth of the amplifying transition. Simple closed-form expressions are obtained for the combined gain coefficients and, in the self-phase-modulation-induced case only, for the integrated gain. A qualitatively new modulation-instability regime of an isolated wave in the normal group-velocity-dispersion region is described.

© 1998 Optical Society of America

OCIS Codes
(060.2320) Fiber optics and optical communications : Fiber optics amplifiers and oscillators
(060.4080) Fiber optics and optical communications : Modulation
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5060) Fiber optics and optical communications : Phase modulation

Citation
Todor Mirtchev, "Off-resonant self- and cross-phase-modulation-induced modulation instabilities in single-mode rare-earth-doped fiber amplifiers," J. Opt. Soc. Am. B 15, 171-180 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-1-171

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