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Annual Meeting Optical Society of America

Self-induced transparency soliton propagation in an erbium-doped optical fiber waveguide

Masataka Nakazawa, Yasuo N. Kimura, Kazunori Suzuki, Kenji Kurokawa, Hirokazu Kubota

Published Jan 1, 1991• 0 citations
Publisher

Abstract

The recent development of the EDFA (erbium-doped fiber amplifier) offers the possibility for uses of the fibers to experiments on coherent pulse propagation such as self-induced transparency (SIT). The guiding of the radiation by the fiber structure eliminates diffraction effects and makes possible the interaction of the radiation with the fiber medium which has resonance effects over long distances. To date, however, experiments on SIT solitons have suffered from diffraction effects that were further complicated by nonlinear interactions. In the present paper, we report for the first time the observation of SIT soliton propagation in an erbium- doped resonant fiber waveguide.

DOI
10.1364/oam.1991.pd11

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The recent development of the EDFA (erbium-doped fiber amplifier) offers the possibility for uses of the fibers to experiments on coherent pulse propagation such as self-induced transparency (SIT). The guiding of the radiation by the fiber structure eliminates diffraction effects and makes possible the interaction of the radiation with the fiber medium which has resonance effects over long distances. To date, however, experiments on SIT solitons have suffered from diffraction effects that were further complicated by nonlinear interactions. In the present paper, we report for the first time the observation of SIT soliton propagation in an erbium- doped resonant fiber waveguide.
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schrödinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the dopant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting a well known result.
Fiber guided optical signal propagating in a Erbium doped nonlinear resonant medium is known to produce cleaner solitonic pulse, described by the self induced transparency (SIT) coupled to nonlinear Schroedinger equation. We discover two new possibilities hidden in its integrable structure, for amplification and control of the optical pulse. Using the variable soliton width permitted by the integrability of this model, the broadening pulse can be regulated by adjusting the initial population inversion of the opant atoms. The effect can be enhanced by another innovative application of its constrained integrable hierarchy, proposing a system of multiple SIT media. These theoretical predictions are workable analytically in details, correcting the limitation of a well known result.
The possibility of observing a self-induced transparency (SIT) in an erbium-doped optical fiber is investigated. A general equation that includes the SIT, the group-velocity dispersion (GVD) of the fiber, and the nonlinear refractive index is discussed. It is shown that for one particular value of waveguide parameters the nonlinear index can balance the GVD, that is, the nonlinear Schr\"odinger equation (NLS), while maintaining a SIT soliton. This is called a SIT-NLS soliton. The phase change of the SIT-NLS soliton is governed solely by the NLS component, and the pulse delay due to resonance is determined solely by the SIT component when the detuning is zero. Practical parameters for silica-based fibers do not allow the coexistence of a mixed soliton state. A simple derivation of a condition for a SIT-NLS soliton is also presented. The SIT-NLS soliton is computer-run, and it is shown that a stable 2\ensuremath{\pi}/N=1 SIT-NLS soliton exists. However, high-order SIT-NLS solitons always split into multiple 2\ensuremath{\pi}/N=1 solitons. The NLS property can be preserved when Zsp{\mathit{Z}}_{\mathrm{sp}}Zsp​\ensuremath{\ll}Labs.{\mathit{L}}_{\mathrm{abs}.}Labs.​ Finally, the NLS soliton that interacts coherently with erbium ions is studied, and the coherent pulsation that produces multiple narrow pulses is described.
The optical solitons that play the role of information carriers, are moving, requiring careful experimental timing to achieve the desired logic operation. In contrast, self-induced transparency (SIT) is a strong resonant nonlinear effect, supporting the propagation of optical solitons and are usually associated with a two-level system. By the appropriate application of light fields, the optical soliton, resonant with the SIT transition, can generate an excited region with ground state coherence in the medium, allowing logic operations to be performed on this coherence.