Maxwell-Bloch modelocking instabilities in erbium-doped fiber lasers

Fontana, F.; Begotti, M; Pessina, E. M.; Lugiato, L. A.

doi:10.1016/0030-4018(94)00625-5

Cited by 29 publications

(19 citation statements)

References 13 publications

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“…The history of the multimode Risken-Nummedal-Graham-Haken (RNGH) instability started in 1968. Since then, the extensive theoretical and experimental study of Er-doped fiber lasers revealed decreased second lasing threshold to the values slightly exceeding the value for the first threshold [13][14][15][16][17][18]. However, there is still an issue related to the accounting for the vector nature of the fiber laser dynamics which it typically present in the experiments on RNGH instability [14,17].…”

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confidence: 99%

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Vector-Resonance-Multimode Instability

et al. 2017

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confidence: 99%

“…The pulse width is also much longer than the time of transverse relaxation of 160 fs. For this reason, the dynamics of the medium polarization was also ignored [13][14][15][16][17][18].…”

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confidence: 99%

Vector-Resonance-Multimode Instability

et al. 2017

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“…A possible explanation for such pulsations might be the Risken-Nummedal-Graham-Haken instability [2,3]. An analysis of experimental data to confirm this hypothesis is in progress.…”

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confidence: 71%

Self-pulsing Ti:Er:LiNbO<inf>3</inf> waveguide laser

George

Reza²,

Suche

et al. 2009

CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference

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During the last years a whole family of Er-doped LiNbO 3 (LN) waveguide lasers of excellent quality has been developed emitting in the wavelength range 1530 nm < λ < 1603 nm. Among them are free running lasers of the Fabry Pérot type, Distributed Bragg Reflector-(DBR-) lasers, self-frequency doubling devices, acoustooptically tuneable lasers, electro-optically Q-switched and harmonically mode-locked lasers [1]. Besides low frequency relaxation oscillations, which can be well suppressed, no self-pulsation phenomena have been published.The self-pulsing laser reported here was fabricated in a 92 mm long Er-diffusion doped Z-cut LN substrate with a surface concentration of about 1.24 x 10 20 cm -3 and a diffusion depth of 8.4 µm. Ti stripes of 7 µm width were indiffused to define single mode waveguides for the 1550 nm wavelength range. The laser cavity was formed by two dielectric multilayer mirrors, one of them vacuum-deposited on the input/output face of the Ti:Er:LN waveguide. This mirror has a high reflectivity (HR > 80 %) at wavelengths > 1550 nm, but a high transmission (T > 80 %) at the 1480 nm (pump) wavelength. The second mirror has a broadband characteristic of high reflectivity (R=97%) at both, pump and laser wavelengths; it was kept in contact with the other end face enabling double-pass pumping. Gold plated electrodes of 10 mm length fabricated near both waveguide ends enable a push-pull phase modulation to minimize spatial hole burning effects in the laser cavity.The experimental set up to investigate the laser is shown in Fig. 1. A fibre wavelength division multiplexer (WDM) is butt coupled to the coated end face of the waveguide to couple the pump light into the cavity and to extract the laser output. A fibre grating stabilized laser diode was used as pump source of up to 200 mW power at 1480 nm wavelength. By a feedback control of the pump power, relaxation oscillations were suppressed.The laser was operated with TE-polarized pump radiation yielding somewhat higher gain than with TM-pumping. A threshold of 37 mW of incident pump power was observed, corresponding to about 15 mW of coupled power. The laser emission was TE-polarized with a center wavelength at 1611.8 nm. This long emission wavelength is reported for the first time; it is determined by the low cavity losses (0.04 dB/cm waveguide propagation losses) in combination with a four-level laser scheme for the relevant transition.Measuring the laser output with a high bandwidth sampling scope, surprisingly revealed that short pulses of a repetition rate of 720 MHz are emitted, corresponding to the free spectral range of the cavity (Fig. 1, middle). To determine better the structure and halfwidth of the pulses, they were analyzed with an optical autocorrelator; the result shows that at least two pulses (separated by 42 ps) are emitted during every round trip time. However, the large pedestal of the auto-correlation trace suggests that the phase correlation between the oscillating modes and their relative amplitudes are not stable in time. This con...

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“…We then neglect 33 in the equations for 11 and 00 and replace ␥ 23 33 by R 00 in the equation for 22 ‫ץ‬ t Im 12 ϭϪ␥ Ќ Im 12 ϩEd, ͑B16͒ c‫ץ‬ z Eϩ‫ץ‬ t Eϭg Im 12 . ͑B17͒…”

Section: Appendix B: Four-level Atomsmentioning

confidence: 99%

Multimode instability in ring fiber lasers

et al. 1999

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We analyze the conditions under which the Risken-Nummedal-Graham-Haken multimode instability can be observed in ring-cavity class-B three-and four-level lasers. Relevant examples of these are rare-earth doped fiber lasers. We show that the standard two-level laser model can be applied to three-and four-level laser systems under quite general conditions. We take advantage of this isomorphism to derive the conditions for the observation of the instability. The analysis is extended to the case in which the uniform field limit does not apply in order to cover more realistic situations.

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Maxwell-Bloch modelocking instabilities in erbium-doped fiber lasers

Cited by 29 publications

References 13 publications

Vector-Resonance-Multimode Instability

Vector-Resonance-Multimode Instability

Self-pulsing Ti:Er:LiNbO<inf>3</inf> waveguide laser

Multimode instability in ring fiber lasers

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