Modulation instabilities in nonlinear two-core optical fibers with fourth order dispersion

Li, Jin Hua; Sun, Ting; Qiao, You; Chen, Y.Y.; Cao, Zhao Lou; Xian, Feng Lin; Wang, Dong Zhi; Wang, Wan

doi:10.1016/j.ijleo.2019.164134

Cited by 7 publications

(11 citation statements)

References 49 publications

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“…After the mergence, another new MI band arises, however, the gain of this band is relatively very weak. The MI evolution is similar with the symmetric CW and the antisymmetric CW states as shown by figures 2, 8 and 12 in [81] in terms that new MI bands can be generated in the high frequency. The main difference is that two new MI bands are always present for the asymemtric CW state, in contrast with the situation for the symmetric and antisymmetric CW states that only one new MI band can be generated.…”

supporting

confidence: 65%

“…In conclusion, for the anomalous dispersion, in comparison with the FOD behaviors for the symmetric and antisymmetric CW states in [80,81], the main similarity is that new MI band(s) in the high frequency can be generated; the main difference is that FOD can generate two new MI bands at a given total power for the asymemtric CW state, which can never merge with the original MI band, in constrast to the situation for the symmetric and antisymmetric CW states that only one new MI band in the high frequency is generated, and can merge with the orignal MI band. Now, we consider the normal dispersion.…”

mentioning

confidence: 88%

“…/ [56]. The effects of FOD with the symmetric and antisymemtric CW states have been studied in [80,81], of which, the explicit gain spectra are shown in [81], and it is found that FOD can reduce the originial MI band and generate new MI band at the same time in both normal and anomalous dispersion regimes. While, in the following section, we explore the effects of FOD on the MI in TCFs with the asymmetric CW state (equation ( 3)).…”

Section: Coupled-mode Equationsmentioning

confidence: 99%

“…The TCFs allow the symmetric, antisymmetric and asymmetric CW states. As far as we know, very few studies have been reported about the effects of FOD on MI in both planner two-core waveguides and TCFs with two identical single-mode cores [79][80][81]. In [79], MIs in planner two-core waveguides are focused, where spatial diffraction, temporal dispersion, FOD and other higher order effects are all taken into account.…”

Section: Introductionmentioning

confidence: 99%

“…In [80], MIs in TCFs with FOD and other higher order effects are explored by considering the symmetric CW state only, all these high order effects are explored at a given total power, and it is also noted that only the dispersion relation without linear coupling is employed in exploring FOD (there are two dispersion relations in TCFs, of which, one arises from the dispersion and nonlinearity in each core, and the other mainly originates from the linear coupling between the two cores). To make a clear and complete understanding of FOD effects on MI in TCFs, the same authors of this paper first studies the FOD effects with the symemtric and antisymmetric CW states by considering the two disperson relations for each CW state in [81], where the explict MI gain spectra are shown.…”

Section: Introductionmentioning

confidence: 99%

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The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

Li¹,

Sun²,

Qiao³

et al. 2020

Phys. Scr.

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The effects of fourth-order dispersion (FOD) on modulation instabilities in the twin-core optical fibers with the asymmetric CW state are studied systematically. When the product of the group velocity dispersion and FOD is negative, in the anomalous dispersion regime, two new MI bands in the high frequency are generated with one band either having the equivalent gain with that of original band or dominating the MI depending on the FOD value; in the normal dispersion, a new dominant MI band in the high frequency is always generated, and the original MI bands vanish in the presence of FOD at total power above a critical value. When the product of the group velocity dispersion and FOD is positive, the main effect of FOD is to shift the MI band to the low frequency and reduce the bandwidth simultaneously with minor effects on the instability gain. We also find that the effects of linear coupling coefficient dispersion can be significantly suppressed in the presence of FOD especially for the case of negative product of the group velocity dispersion and FOD. Finally, the effects of FOD on MI are verified numerically by launching continuous waves with the wave propagation method. Our results should provide very benificial information for successfully observing MI in TCFs or MI related applications with TCFs.

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supporting

confidence: 65%

mentioning

confidence: 88%

Section: Coupled-mode Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

Li¹,

Sun²,

Qiao³

et al. 2020

Phys. Scr.

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Modulation instabilities in twin-core fibers with self-steepening effects

et al. 2022

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On the resilience of dual-waveguide parametric amplifiers to pump power and phase fluctuations

Shi

Ribeiro

Perego

2023

Applied Physics Letters

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Parametric amplifiers based on coupled-core fibers and coupled integrated waveguides are promising devices for delivering broadband and flat gain spectrum with low noise figure in vital technological applications such as optical communications. To address potential practical issues that may arise in the experimental demonstration, in the present work, we derive analytical expressions for the impact of relative input pump phase and power fluctuations between two waveguides on pump waves stability. We, furthermore, evaluate, through numerical simulations, how the pump power oscillations between the two waveguides affect the amplifier spectrum, identifying optimal regimes of operation for coupled-core fibers and also for coupled integrated waveguides. Our findings hint at the resilience of these parametric amplifiers' architectures and at their possible practical implementation in realistic labs and real-world scenarios.

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Modulation instabilities in nonlinear two-core optical fibers with fourth order dispersion

Cited by 7 publications

References 49 publications

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

Modulation instabilities in twin-core fibers with self-steepening effects

On the resilience of dual-waveguide parametric amplifiers to pump power and phase fluctuations

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