Numerical analysis of beam self-cleaning in multimode fiber amplifiers

Mesay Addisu Jima; Mesay Addisu Jima; Alessandro Tonello; Alioune Niang; Alioune Niang; Tigran Mansuryan; Katarzyna Krupa; Daniele Modotto; Annamaria Cucinotta; Vincent Couderc; Stefan Wabnitz; Stefan Wabnitz

doi:10.1364/JOSAB.463473

Journal of the Optical Society of America B
Vol. 39,
Issue 8,
pp. 2172-2180
(2022)
•https://doi.org/10.1364/JOSAB.463473

Numerical analysis of beam self-cleaning in multimode fiber amplifiers

Mesay Addisu Jima, Alessandro Tonello, Alioune Niang, Tigran Mansuryan, Katarzyna Krupa, Daniele Modotto, Annamaria Cucinotta, Vincent Couderc, and Stefan Wabnitz

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Mesay Addisu Jima, Alessandro Tonello, Alioune Niang, Tigran Mansuryan, Katarzyna Krupa, Daniele Modotto, Annamaria Cucinotta, Vincent Couderc, and Stefan Wabnitz, "Numerical analysis of beam self-cleaning in multimode fiber amplifiers," J. Opt. Soc. Am. B 39, 2172-2180 (2022)

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Abstract

Recent experimental results have reported the observation of beam self-cleaning or, more generally, nonlinear beam reshaping in active multimode fibers. In this work, we present a numerical analysis of these processes by considering the ideal case of a diode-pumped signal amplifier made of a graded-index multimode fiber with uniform Yb doping. Simulations confirm that beam cleaning of the signal may take place even in amplifying fibers, in the absence of beam power conservation. Moreover, we show how the local signal intensity maxima, which are periodically generated by the self-imaging process, may influence the population inversion of the doping atoms, and locally saturate the amplifier gain.

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Supplementary Material (1)

Name	Description
Visualization 1	Visualization 1 shows the evolution of the amplified signal beam (shown as its iso-intensity surface at half of the local maximum intensity) upon different input pump powers. Pump at 0 W corresponds to the case of an unpumped fiber.

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Symbol	Parameter	Value
$λ_{P}$	pump wavelength	979 nm
$λ_{S}$	signal wavelength	1064 nm
$T_{S}$	signal pulse duration	500 ps
$D$	signal beam diameter FWHMI	$40 µ m$
$σ_{AP}$	pump absorption cross section	$2.358 \times 10^{- 24} m^{2}$
$σ_{EP}$	pump emission cross section	$2.358 \times 10^{- 24} m^{2}$
$σ_{AS}$	signal absorption cross section	$5 \times 10^{- 27} m^{2}$
$σ_{ES}$	signal emission cross section	$2.89 \times 10^{- 25} m^{2}$
$α_{P}$	linear absorption (pump)	1.1 dB/km
$α_{S}$	linear absorption (signal)	1.1 dB/km
$τ$	radiative lifetime	1 ms
$N_{T}$	$Y b^{3 +}$ concentration	$9.0 \times 10^{25} m^{- 3}$
$n_{C o}$	maximum core refractive index	1.47
$n_{C l}$	cladding refractive index	1.457
$R$	core radius	$26 µ m$
$A_{C l}$	inner cladding area	$7.06 \times 10^{- 8} m^{2}$
$n_{2}$	Kerr nonlinear coefficient	$2.6 \times 10^{- 20} m^{2} / W$

Alessandro Tonello	https://orcid.org/0000-0002-2164-4732
Tigran Mansuryan	https://orcid.org/0000-0001-7007-4599
Katarzyna Krupa	https://orcid.org/0000-0001-7885-7395
Daniele Modotto	https://orcid.org/0000-0001-6517-8019
Annamaria Cucinotta	https://orcid.org/0000-0003-1922-0559
Vincent Couderc	https://orcid.org/0000-0001-8869-741X
Stefan Wabnitz	https://orcid.org/0000-0003-4419-6618

Abstract

Supplementary Material (1)

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Figures (14)

Tables (1)

Equations (5)

Journal of the Optical Society of America B