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Measurement of the soliton number in guiding media through continuum generation

David Castelló-Lurbe, Antonio Carrascosa, Enrique Silvestre, Antonio Díez, Jürgen Van Erps, Nathalie Vermeulen, and Miguel V. Andrés

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Abstract

No general approach is available yet to measure directly the ratio between chromatic dispersion and the nonlinear coefficient, and hence the soliton number for a given optical pulse, in an arbitrary guiding medium. Here we solve this problem using continuum generation. We experimentally demonstrate our method in polarization-maintaining and single-mode fibers with positive and negative chromatic dispersion. Our technique also offers new opportunities to determine the chromatic dispersion of guiding media over a broad spectral range while pumping at a fixed wavelength.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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Figures (3)
Fig. 1.
Fig. 1. (a) Spectrum and (b) pulse profiles at the input (dashed line) and output (solid line) of the 200 m long Nufern PM980-XP fiber pumped with 188 mW mean power. These results illustrate the spectrum and pulse evolutions for ${\beta _2} \gt 0$ .

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Fig. 2.
Fig. 2. Results of our experiments to determine ${\beta _2}/\gamma$ in four different fibers: (a) PM fiber with ${\beta _2} \gt 0$ at 1061 nm; (b) (non-PM) single-mode fiber with ${\beta _2} \gt 0$ at 1061 nm; (c) PM fiber with ${\beta _2} \lt 0$ at 1550 nm; and (d) (non-PM) single-mode fiber with ${\beta _2} \lt 0$ at 1550 nm.

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Fig. 3.
Fig. 3. (a) Spectrum and (b) pulse profiles at the input (dashed line) and output (solid line) obtained with 200 m long SMF-28 fiber pumped with 3.4 mW mean power. These results illustrate the spectrum and pulse evolutions for ${\beta _2} \lt 0$ .

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Tables (1)

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Table 1. Comparison between Our Experimental Values for β 2 / γ and Values Obtained Based on Fiber Specifications and Other Experiments (Details in the Text)

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Equations (4)

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∂ z A = − α 2 A − i β 2 2 ∂ 2 A ∂ T 2 + i γ | A | 2 A ,
d d z [ L NL − 1 ( z ) + L D − 1 ( z ) ] = − α L NL − 1 ( z ) ,
− ( ρ ( L ) − ρ ( 0 ) ) − α ∫ 0 L ρ ( z ) d z = β 2 2 γ ( μ 2 ( L ) − μ 2 ( 0 ) ) ,
− Δ ρ loss = β 2 2 γ Δ μ 2 .
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