Abstract

We experimentally demonstrate spatial beam self-cleaning and supercontinuum generation in a tapered Ytterbium-doped multimode optical fiber with parabolic core refractive index profile when 1064 nm pulsed beams propagate from wider (122 µm) into smaller (37 µm) diameter. In the passive mode, increasing the input beam peak power above 20 kW leads to a bell-shaped output beam profile. In the active configuration, gain from the pump laser diode permits to combine beam self-cleaning with supercontinuum generation between 520-2600 nm. By taper cut-back, we observed that the dissipative landscape, i.e., a non-monotonic variation of the average beam power along the MMF, leads to modal transitions of self-cleaned beams along the taper length.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2019 (4)

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

2018 (3)

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

U. Teğin and B. Ortaç, “Cascaded Raman scattering based high power octave-spanning supercontinuum generation in graded-index multimode fibers,” Sci. Rep. 8(1), 12470 (2018).
[Crossref]

2017 (4)

2016 (6)

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

G. Lopez-Galmiche, Z. Sanjabi Eznaveh, M. A. Eftekhar, J. Antonio Lopez, L. G. Wright, F. Wise, D. Christodoulides, and R. Amezcua Correa, “Visible supercontinuum generation in a graded index multimode fiber pumped at 1064 nm,” Opt. Lett. 41(11), 2553–2556 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

C. Shi, X. Wang, P. Zhou, X. Xu, and Q. Lu, “Theoretical study of mode evolution in active long tapered multimode fiber,” Opt. Express 24(17), 19473–19490 (2016).
[Crossref]

2015 (5)

Y. Lumer, L. Drori, Y. Hazan, and M. Segev, “Accelerating self-imaging: the Airy-Talbot effect,” Phys. Rev. Lett. 115(1), 013901 (2015).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Controllable spatiotemporal nonlinear effects in multimode fibres,” Nat. Photonics 9(5), 306–310 (2015).
[Crossref]

L. G. Wright, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal dynamics of multimode optical solitons,” Opt. Express 23(3), 3492–3506 (2015).
[Crossref]

M. Schnack, T. Hellwig, M. Brinkmann, and C. Fallnich, “Ultrafast two-color all-optical transverse mode conversion in a graded-index fiber,” Opt. Lett. 40(20), 4675–4678 (2015).
[Crossref]

2013 (1)

W. H. Renninger and F. W. Wise, “Optical solitons in graded-index multimode fibres,” Nat. Commun. 4(1), 1719 (2013).
[Crossref]

2011 (1)

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

2003 (1)

2000 (1)

Alvarado Zacarias, J. C.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

Amezcua Correa, R.

Antonio Lopez, J.

Antonio-Lopez, J. E.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Ascheri, P.

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

Auguste, J. L.

Aviles, H. E. L.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Babin, S. A.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Barthélémy, A.

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Bendahmane, A.

Benis, S.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Birks, T.

Brinkmann, M.

Castañeda, G. G.

Christodoulides, D.

Christodoulides, D. N.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal mode-locking in multimode fiber lasers,” Science 358(6359), 94–97 (2017).
[Crossref]

M. A. Eftekhar, L. G. Wright, M. S. Mills, M. Kolesik, R. Amezcua Correa, F. W. Wise, and D. N. Christodoulides, “Versatile supercontinuum generation in parabolic multimode optical fibers,” Opt. Express 25(8), 9078–9087 (2017).
[Crossref]

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

L. G. Wright, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal dynamics of multimode optical solitons,” Opt. Express 23(3), 3492–3506 (2015).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Controllable spatiotemporal nonlinear effects in multimode fibres,” Nat. Photonics 9(5), 306–310 (2015).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Correa, R. A.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

Couderc,

Couderc, V.

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Deliancourt, E.

Desfarges-Barthelemot, A.

Desfarges-Berthelemot, A.

Doya, V.

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

Drori, L.

Y. Lumer, L. Drori, Y. Hazan, and M. Segev, “Accelerating self-imaging: the Airy-Talbot effect,” Phys. Rev. Lett. 115(1), 013901 (2015).
[Crossref]

Dupiol, R.

Eftekhar, M. A.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, L. G. Wright, M. S. Mills, M. Kolesik, R. Amezcua Correa, F. W. Wise, and D. N. Christodoulides, “Versatile supercontinuum generation in parabolic multimode optical fibers,” Opt. Express 25(8), 9078–9087 (2017).
[Crossref]

G. Lopez-Galmiche, Z. Sanjabi Eznaveh, M. A. Eftekhar, J. Antonio Lopez, L. G. Wright, F. Wise, D. Christodoulides, and R. Amezcua Correa, “Visible supercontinuum generation in a graded index multimode fiber pumped at 1064 nm,” Opt. Lett. 41(11), 2553–2556 (2016).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

Fabert, M.

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Fallnich, C.

Fedoruk, M. P.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Garnier, G.

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

Gonta, V. A.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Guenard, R.

Hazan, Y.

Y. Lumer, L. Drori, Y. Hazan, and M. Segev, “Accelerating self-imaging: the Airy-Talbot effect,” Phys. Rev. Lett. 115(1), 013901 (2015).
[Crossref]

Hellwig, T.

Kermene, V.

Kharenko, D. S.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

Kolesik, M.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, L. G. Wright, M. S. Mills, M. Kolesik, R. Amezcua Correa, F. W. Wise, and D. N. Christodoulides, “Versatile supercontinuum generation in parabolic multimode optical fibers,” Opt. Express 25(8), 9078–9087 (2017).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Krupa, K.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

Leproux, P.

Li, M.-J.

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Liu, Z.

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

Longhi, S.

Lopez-Galmiche, G.

Louot, C.

Lu, Q.

Lumer, Y.

Y. Lumer, L. Drori, Y. Hazan, and M. Segev, “Accelerating self-imaging: the Airy-Talbot effect,” Phys. Rev. Lett. 115(1), 013901 (2015).
[Crossref]

Michel, C.

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

Millot, G.

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Mills, M. S.

Minoni, U.

Modotto, D.

Niang, A.

Nolan, D. A.

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Ortaç, B.

U. Teğin and B. Ortaç, “Cascaded Raman scattering based high power octave-spanning supercontinuum generation in graded-index multimode fibers,” Sci. Rep. 8(1), 12470 (2018).
[Crossref]

Pagnoux, D.

Picozzi, A.

P. Ascheri, G. Garnier, C. Michel, V. Doya, and A. Picozzi, “Condensation and thermalization of classical optical waves in a waveguide,” Phys. Rev. A 83(3), 033838 (2011).
[Crossref]

Podivilov, E. V.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Renninger, W. H.

Russell, P. S. J.

Sanjabi Eznaveh, Z.

Sanjabi-Eznaveh, Z.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

Schnack, M.

Schülzgen, A.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Segev, M.

Y. Lumer, L. Drori, Y. Hazan, and M. Segev, “Accelerating self-imaging: the Airy-Talbot effect,” Phys. Rev. Lett. 115(1), 013901 (2015).
[Crossref]

Shalaby, B.

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

Shalaby, B. M.

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Shi, C.

Sidelnikov, O. S.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Tegin, U.

U. Teğin and B. Ortaç, “Cascaded Raman scattering based high power octave-spanning supercontinuum generation in graded-index multimode fibers,” Sci. Rep. 8(1), 12470 (2018).
[Crossref]

Tonello, A.

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Turitsyn, S.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

Wabnitz, S.

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

E. Deliancourt, M. Fabert, A. Tonello, K. Krupa, A. Desfarges-Berthelemot, V. Kermene, G. Millot, A. Barthélémy, S. Wabnitz, and V. Couderc, “Kerr beam self-cleaning on the LP11 mode in graded-index multimode fibers,” OSA Continuum 2(4), 1089–1096 (2019).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

R. Guenard, K. Krupa, R. Dupiol, M. Fabert, A. Bendahmane, V. Kermene, A. Desfarges-Barthelemot, J. L. Auguste, A. Tonello, A. Barthélémy, G. Millot, and S. Wabnitz, and V. Couderc, “Kerr self-cleaning of pulsed beam in ytterbium doped multimode fiber,” Opt. Express 25(5), 4783–4792 (2017).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

Wadsworth, W. J.

Wang, X.

Wise, F.

Wise, F. W.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal mode-locking in multimode fiber lasers,” Science 358(6359), 94–97 (2017).
[Crossref]

M. A. Eftekhar, L. G. Wright, M. S. Mills, M. Kolesik, R. Amezcua Correa, F. W. Wise, and D. N. Christodoulides, “Versatile supercontinuum generation in parabolic multimode optical fibers,” Opt. Express 25(8), 9078–9087 (2017).
[Crossref]

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

L. G. Wright, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal dynamics of multimode optical solitons,” Opt. Express 23(3), 3492–3506 (2015).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Controllable spatiotemporal nonlinear effects in multimode fibres,” Nat. Photonics 9(5), 306–310 (2015).
[Crossref]

W. H. Renninger and F. W. Wise, “Optical solitons in graded-index multimode fibres,” Nat. Commun. 4(1), 1719 (2013).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

Wright, L. G.

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal mode-locking in multimode fiber lasers,” Science 358(6359), 94–97 (2017).
[Crossref]

M. A. Eftekhar, L. G. Wright, M. S. Mills, M. Kolesik, R. Amezcua Correa, F. W. Wise, and D. N. Christodoulides, “Versatile supercontinuum generation in parabolic multimode optical fibers,” Opt. Express 25(8), 9078–9087 (2017).
[Crossref]

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

G. Lopez-Galmiche, Z. Sanjabi Eznaveh, M. A. Eftekhar, J. Antonio Lopez, L. G. Wright, F. Wise, D. Christodoulides, and R. Amezcua Correa, “Visible supercontinuum generation in a graded index multimode fiber pumped at 1064 nm,” Opt. Lett. 41(11), 2553–2556 (2016).
[Crossref]

L. G. Wright, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal dynamics of multimode optical solitons,” Opt. Express 23(3), 3492–3506 (2015).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Controllable spatiotemporal nonlinear effects in multimode fibres,” Nat. Photonics 9(5), 306–310 (2015).
[Crossref]

Xu, X.

Zhou, P.

Nat. Commun. (2)

W. H. Renninger and F. W. Wise, “Optical solitons in graded-index multimode fibres,” Nat. Commun. 4(1), 1719 (2013).
[Crossref]

M. A. Eftekhar, Z. Sanjabi-Eznaveh, H. E. L. Aviles, S. Benis, J. E. Antonio-Lopez, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerated nonlinear interactions in graded-index multimode fibers,” Nat. Commun. 10(1), 1638 (2019).
[Crossref]

Nat. Photonics (3)

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Controllable spatiotemporal nonlinear effects in multimode fibres,” Nat. Photonics 9(5), 306–310 (2015).
[Crossref]

K. Krupa, A. Tonello, B. Shalaby, M. Fabert, A. Barthélémy, G. Millot, S. Wabnitz, and V. Couderc, “Spatial beam self-cleaning in multimode fiber,” Nat. Photonics 11(4), 237–241 (2017).
[Crossref]

L. G. Wright, Z. Liu, D. A. Nolan, M.-J. Li, D. N. Christodoulides, and F. W. Wise, “Self-organized instability in graded index multimode fibres,” Nat. Photonics 10(12), 771–776 (2016).
[Crossref]

Opt. Express (4)

Opt. Lett. (8)

T. Birks, W. J. Wadsworth, and P. S. J. Russell, “Supercontinuum generation in tapered fibers,” Opt. Lett. 25(19), 1415 (2000).
[Crossref]

S. Longhi, “Modulational instability and space–time dynamics in nonlinear parabolic-index optical fibers,” Opt. Lett. 28(23), 2363–2365 (2003).
[Crossref]

G. Lopez-Galmiche, Z. Sanjabi Eznaveh, M. A. Eftekhar, J. Antonio Lopez, L. G. Wright, F. Wise, D. Christodoulides, and R. Amezcua Correa, “Visible supercontinuum generation in a graded index multimode fiber pumped at 1064 nm,” Opt. Lett. 41(11), 2553–2556 (2016).
[Crossref]

K. Krupa, C. Louot, V. Couderc, M. Fabert, R. Guenard, B. M. Shalaby, A. Tonello, A. Barthélémy, D. Pagnoux, P. Leproux, A. Bendahmane, R. Dupiol, G. Millot, and S. Wabnitz, “Spatiotemporal characterization of supercontinuum extending from the visible to the mid-infrared in multimode graded-index optical fiber,” Opt. Lett. 41(24), 5785–5788 (2016).
[Crossref]

Z. Liu, L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Kerr self-cleaning of femtosecond-pulsed beams in graded-index multimode fiber,” Opt. Lett. 41(16), 3675–3678 (2016).
[Crossref]

R. Dupiol, K. Krupa, A. Tonello, M. Fabert, D. Modotto, S. Wabnitz, G. Millot, S. Wabnitz, and V. Couderc, “Interplay of Kerr and Raman beam cleaning with a multimode microstructure fiber,” Opt. Lett. 43(3), 587–590 (2018).
[Crossref]

K. Krupa, G. G. Castañeda, A. Tonello, A. Niang, D. S. Kharenko, M. Fabert, V. Couderc, G. Millot, U. Minoni, D. Modotto, and S. Wabnitz, “Nonlinear polarization dynamics of Kerr beam self-cleaning in a GRIN multimode optical fiber,” Opt. Lett. 44(1), 171–174 (2019).
[Crossref]

M. Schnack, T. Hellwig, M. Brinkmann, and C. Fallnich, “Ultrafast two-color all-optical transverse mode conversion in a graded-index fiber,” Opt. Lett. 40(20), 4675–4678 (2015).
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Phys. Rev. A (2)

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K. Krupa, A. Tonello, V. Couderc, A. Barthélémy, G. Millot, D. Modotto, and S. Wabnitz, “Spatiotemporal light-beam compression from nonlinear mode coupling,” Phys. Rev. A 97(4), 043836 (2018).
[Crossref]

Phys. Rev. Lett. (4)

E. V. Podivilov, D. S. Kharenko, V. A. Gonta, K. Krupa, O. S. Sidelnikov, S. Turitsyn, M. P. Fedoruk, S. A. Babin, and S. Wabnitz, “Hydrodynamic 2D turbulence and spatial beam condensation in multimode optical fibers,” Phys. Rev. Lett. 122(10), 103902 (2019).
[Crossref]

K. Krupa, A. Tonello, A. Barthélémy, V. Couderc, B. M. Shalaby, A. Bendahmane, G. Millot, and S. Wabnitz, “Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves,” Phys. Rev. Lett. 116(18), 183901 (2016).
[Crossref]

L. G. Wright, S. Wabnitz, D. N. Christodoulides, and F. W. Wise, “Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves,” Phys. Rev. Lett. 115(22), 223902 (2015).
[Crossref]

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[Crossref]

Sci. Rep. (1)

U. Teğin and B. Ortaç, “Cascaded Raman scattering based high power octave-spanning supercontinuum generation in graded-index multimode fibers,” Sci. Rep. 8(1), 12470 (2018).
[Crossref]

Science (1)

L. G. Wright, D. N. Christodoulides, and F. W. Wise, “Spatiotemporal mode-locking in multimode fiber lasers,” Science 358(6359), 94–97 (2017).
[Crossref]

Other (3)

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, J. C. Alvarado Zacarias, A. Schülzgen, M. Kolesik, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Broadband supercontinuum generation in tapered multimode graded-index optical fibers,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (online) (Optical Society of America, 2017), paper STh1 K.7.

M. A. Eftekhar, Z. Sanjabi-Eznaveh, J. E. Antonio-Lopez, H. E. L. Aviles, S. Benis, M. Kolesik, A. Schülzgen, F. W. Wise, R. A. Correa, and D. N. Christodoulides, “Accelerating nonlinear interactions in tapered multimode fibers,” in Conference on Lasers and Electro-Optics, OSA Terchnical Digest (online) (Optical Society of America, 2018), paper FTh1M.3.

Supplementary material of ref.[10], available on: https://www.nature.com/articles/nphoton.2017.32#supplementary-information

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Figures (8)

Fig. 1.
Fig. 1. Schematic of the experimental setup for coupling a microchip laser at 1064 nm (signal) and a pump laser diode (LD) into the Yb-doped MMF taper.
Fig. 2.
Fig. 2. Characteristics of the tapered fiber: (a) doped multimode fiber taper, (b) and (c) profile of the refractive index difference between core and cladding of large and small diameter Yb-doped MMF, respectively, and (d) core diameter of tapered fiber vs taper length as determined by cut-back measurements.
Fig. 3.
Fig. 3. (a) Near-field spatial distributions and (b) spectra (Ando AQ6315A) of the tapered fiber output beam as a function of input peak power without CW LD pump. Tapered fiber length was 9.5 m.
Fig. 4.
Fig. 4. Measured beam quality M2 parameter along orthogonal transverse directions as a function of input peak power, for the case illustrated in Fig. 3(a). Insets show examples of near-field output intensity patterns.
Fig. 5.
Fig. 5. Near-field spatial distribution of tapered fiber output beams using 19.6 kW input power at 1064 nm. Tapered fiber length was 9.5 m.
Fig. 6.
Fig. 6. Spectra obtained from a 9.5 m long taper by using two different OSAs with 19.6 kW input power at 1064 nm. (a) Output spectra (Ando AQ6315A) for different gain values. (b) Supercontinuum spectra (Ando AQ6315A and Yokogawa AQ6376) covering the spectral range 520 nm-2600 nm for maximum gain value of 1.34. The 940 nm peak is a residue from the pump LD. Inset: near-field output beam profile with different bandpass filters.
Fig. 7.
Fig. 7. (a) Experimental spectrum as a function of propagation length in the taper with an input peak power of 19.6 kW at 1064 nm (signal) and maximum pump power (G = 1.34). The white dashed line is the analytical prediction of the first anti-Stokes GPI sideband in the tapered fiber between 5.55 m and 9.5 m. (b) Analytical evolution of the first anti-Stokes GPI sideband along the taper.
Fig. 8.
Fig. 8. Output average power at 1064 nm as function of taper length showing beam self-cleaning evolution with an input peak power of 19.6 kW (signal) and maximum pump power (G = 1.34). Insets: output near-field spatial distributions along the taper.

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