Modeling and Optimization of Double-Clad Fiber Amplifiers Using Chaotic Propagation of the Pump

Leproux, Philippe; Fevrier, Sébastien; Doya, Valérie; Roy, Philippe; Pagnoux, Dominique

doi:10.1006/ofte.2001.0361

“…Each mode is considered to be absorbed proportionally to the overlap of the pump field with the gain medium. It has been shown [11] that the more uniform the distribution of intensity is, the more the absorption is effective. It is well-known that the modes intensity distribution strongly depends on the shape of the inner cladding.…”

Section: Introductionmentioning

confidence: 99%

Gain-controlled wave chaos in a chaotic optical fibre

Michel¹,

Tascu²,

Doya³

et al. 2009

J. Eur. Opt. Soc.-Rapid Publ.

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In this paper, we present a non-standard fibre amplifier specially designed to amplify scar modes of a multimode chaotic optical fibre. More precisely, we introduce Ytterbium in the optical fibre as a gain medium localised on the maximum of intensity of the scar modes. After briefly recalling the relevance of a chaotic optical fibre as a device to visualise quantum chaos, we describe the amplification process of scars. We present some numerical results that demonstrate the selective amplification of scar modes, with an amplification rate proportional to the overlap between these modes and the gain area.

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“…In the approximation of geometrical optics [3], most of the rays avoid the core in such a fibre. Various shapes of double-clad fibres were used/simulated in order to improve the coupling of the pump into the core [2][3][4][5][6][7][8][9][10][11][12]: off-set [2], rectangular [2,6], smooth rectangular [4], smooth hexagon [4], spiral [4,5], D-shape [6][7][8], truncated rectangle [6], 2-truncation circle [6,7,9], pseudorectangle [6,9], stadium [9], smooth D-shaped [10], decagon [11] and 'flower' [6,12]. The variety of shapes analysed and tested recently indicates that the choice of shape of cladding is an important and non-trivial problem.…”

Section: Introductionmentioning

confidence: 99%

Boundary behaviour of modes of a Dirichlet Laplacian

Kouznetsov

¹

,

Moloney

²

2004

Journal of Modern Optics

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Abstract.The problem of uncoupled modes of the pump in a double-clad fibre amplifier is analysed. As long as such modes avoid the core of the fibre, we consider the Dirichlet Laplacian problem which neglects the core. In this approach, the boundary of the cladding is treated as an ideal mirror. The laws of conservation established for the paraxial equation of diffraction give certain integral relations for the derivatives of modes at the boundary. Such relations are formulated as theorems. These theorems show ways to non-traditional design of single-mode fibre amplifiers with a multimode pump. In particular, the conservation of momentum can be applied to the design of the slab-pumped fibre amplifier. The conservation of angular momentum predicts high efficiency of coupling of a pump into a doped core embedded in a spiral-shaped doubleclad fibre. Such predictions agree with results of numerical experiments published recently and allow a geometric optics interpretation.

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“…It was shown that a small asymmetric distortion of an otherwise circular cladding significantly improves the efficiency of coupling of the incoherent light of the pumped cladding into the core. Such an improvement is comparable to or even greater than the improvement due to a strong double-cut of the cladding [6][7][8][9]. The spiral is not a closed curve so, the spiral-shaped boundary of the region must have a strong local deformation somewhere.…”

Section: Introductionmentioning

confidence: 99%

“…Rectangular, D-shaped and many other claddings provide a slightly better coupling than the circular off-set fibre does. The double-cut circular cladding [6][7][8][9] and the spiral cladding [4,5] seem to be the most efficient configurations, according to the numerical analysis. Here we present some analytical results, which explain the advantages of the spiral-shape cladding [4,5] in terms of modes of the DL.…”

Section: Introductionmentioning

confidence: 99%

Boundary behaviour of modes of a Dirichlet Laplacian

Kouznetsov

¹

,

Moloney

²

2004

Journal of Modern Optics

0

View full text Add to dashboard Cite

Abstract.The problem of uncoupled modes of the pump in a double-clad fibre amplifier is analysed. As long as such modes avoid the core of the fibre, we consider the Dirichlet Laplacian problem which neglects the core. In this approach, the boundary of the cladding is treated as an ideal mirror. The laws of conservation established for the paraxial equation of diffraction give certain integral relations for the derivatives of modes at the boundary. Such relations are formulated as theorems. These theorems show ways to non-traditional design of single-mode fibre amplifiers with a multimode pump. In particular, the conservation of momentum can be applied to the design of the slab-pumped fibre amplifier. The conservation of angular momentum predicts high efficiency of coupling of a pump into a doped core embedded in a spiral-shaped doubleclad fibre. Such predictions agree with results of numerical experiments published recently and allow a geometric optics interpretation.

show abstract

Modeling and Optimization of Double-Clad Fiber Amplifiers Using Chaotic Propagation of the Pump

Cited by 66 publications

References 15 publications

Gain-controlled wave chaos in a chaotic optical fibre

Gain-controlled wave chaos in a chaotic optical fibre

Boundary behaviour of modes of a Dirichlet Laplacian

Boundary behaviour of modes of a Dirichlet Laplacian

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