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Mode and group velocity dispersion evolution in the tapered region of a single-mode tapered fiber

Rui Zhang, Xinping Zhang, Dominic Meiser, and Harald Giessen

Open Access Open Access

Abstract

We investigate the evolution of the propagation mode and the group velocity dispersion in the taper region and analyze its contribution to the nonlinearity of tapered fibers, which is important for a comprehensive understanding of the light propagation characteristics and the mechanisms supporting the supercontinuum generation in tapered fibers.

©2004 Optical Society of America

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Figures (7)
Fig. 1.
Fig. 1. Radial profile along the input tapered fiber.

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Fig. 2.
Fig. 2. The evolution of the radial distribution of intensity along the input taper region of SMF 28 fused silica tapered fiber (at 800 nm).

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Fig. 3.
Fig. 3. The evolution of the radial distribution of intensity along the taper at (a) 500 nm and (b)1064 nm.

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Fig. 4.
Fig. 4. The evolution of (a) effective area and (b) nonlinear parameter γ along the SMF 28 fused silica fiber.

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Fig. 5.
Fig. 5. The evolution of (a) effective area and (b) nonlinear parameter γ, obtained by the variational calculation and the calculation of standard Bessel differential equation, respectively.

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Fig. 6.
Fig. 6. The evolution of the GVD along a tapered SMF 28 fused silica fiber, with a wai diameter of 1.8 µm, pumped at (a) 1024 nm, (b) 880 nm and (c) 800 nm. The black d

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Fig. 7.
Fig. 7. The evolution of GVD, estimated by (a) the vector Maxwell equation (solid) and the scalar equation (dotted) and (b) the cladding-air vector equation (dotted) and the core-cladding-air vector equation (solid). The hatched area denotes the region where the difference between the equations is less than 1% and the wavelength is 800 nm.

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Equations (8)

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r 2 ∂ 2 ψ ∂ r 2 + r ∂ ψ ∂ r + [ r 2 ( n 2 k 0 2 − n eff 2 k 0 2 ) − m 2 ] ψ = 0 ,
r cladding ( μ m ) = − 1.9 + 67.8 · exp ( − z ⁄ 4.7 ) ,
1 = r core 2 k 0 2 e − ( r core ⁄ w ) 2 ( n core 2 − n cladding 2 ) + r 2 2 k 0 2 e − ( r cladding ⁄ w ) 2 ( n cladding 2 − n air 2 ) ,
D = − 2 π c λ 2 d 2 β d ω 2 ,
( E z 1 H z 1 ) = ( A 1 A 2 ) J m ( k 0 n core 2 − n eff 2 · r ) ( sin ⁡ m ϕ cos ⁡ m ϕ ) ,
( E z 2 H z 2 ) = ( B 1 B 2 ) I m ( k 0 n eff 2 − n cladding 2 · r ) ( sin ⁡ m ϕ cos ⁡ m ϕ ) + ( C 1 C 2 ) K m ( k 0 n eff 2 − n cladding 2 · r ) ( sin ⁡ m ϕ cos ⁡ m ϕ ) .
( E z 2 H z 2 ) = ( B 1 B 2 ) J m ( k 0 n cladding 2 − n eff 2 · r ) ( sin ⁡ m ϕ cos ⁡ m ϕ ) + ( C 1 C 2 ) Y m ( k 0 n cladding 2 − n eff 2 · r ) ( sin ⁡ m ϕ cos ⁡ m ϕ ) ,
( E z 3 H z 3 ) = ( D 1 D 2 ) K m ( k 0 n eff 2 − n air 2 · r ) ( sin m ϕ cos ⁡ m ϕ ) ,
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