Demonstration of a nonlinear gap in the modulational instability spectra of wave propagation in highly birefringent fibers

Dinda, P. Tchofo; Millot, Guy; Seve, E.; Haelterman, Marc

doi:10.1364/ol.21.001640

Cited by 30 publications

(15 citation statements)

References 7 publications

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“…(16). Different propagation distances are considered as representative cases and we observe that the MI bandwidth (Δω) increases with distances, i.e., zc > b > a km.…”

Section: B MI In Ddfmentioning

confidence: 87%

“…Moreover, coupling between the two copropagating pulses was of considerable interest due to their ability to achieve MI even in the normal dispersion regime [14]. For instance, the MI scenario in the normal dispersion regime of birefringent fibers and the critical MI regime were discussed in [15][16][17]. MI in the context of ultrashort pulse generation in birefringent fibers was analyzed in [18].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Nithyanandan

Raja

2012

J. Opt. Soc. Am. B

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A theoretical study of modulational instability (MI) in the semiconductor doped dispersion decreasing fiber (SD-DDF) is presented. We consider the combination of saturation of nonlinear response and the dispersion decreasing fiber (DDF). The exact dispersion relation is calculated by means of linear stability analysis. Different fiber systems are considered alongside the proposed SD-DDF for insight and to offer the cutting edge of the proposed model over the others. The two extreme physical effects considered lead to an exciting outcome, where decreasing dispersion leads to broadening the spectral width and saturation, on the other hand, suppresses the MI gain and the bandwidth. A bandwidth relation between different fiber systems is presented, and the idea can open the design of a fiber structure with desired dispersion profile by a suitable manipulation of these effects. We propose that instead of using DDF whose bandwidth is limited by the manufacturing constraints, the use of SD-DDF offers better tailoring of the bandwidth profile by suitably altering the saturation parameter. Thus we emphasize that the proposed SD-DDF will be a feature prospect for wide range of applications, especially in the context of ultrashort pulse generation using MI.

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“…(16). Different propagation distances are considered as representative cases and we observe that the MI bandwidth (Δω) increases with distances, i.e., zc > b > a km.…”

Section: B MI In Ddfmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Nithyanandan

Raja

2012

J. Opt. Soc. Am. B

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“…(1) is examined by a standard linear-stability analysis applied to the steady state solutions of the NLS equations and yields to a fourth-order dispersion relation that provides the MI power gain spectrum G(Ω), where Ω is the MI frequency [19]. For the sake of simplicity, both pump waves are assumed to propagate with the same power P. In addition, we consider that GVM is sufficiently large so that the input power level P is always much lower than the critical power P c beyond which MI vanishes [20]. Under these conditions only two MI sidebands can exist, a Stokes signal wave ω s and an anti-Stokes idler wave ω i polarized along the slow and fast axis, respectively ( Fig.…”

Section: -Modulational Instability In a Highly Birefringent Fibermentioning

confidence: 99%

“…In this paper, we present a novel method for generating variable large delays based on the hybrid technique of wavelength conversion and dispersion, where the nonlinear wavelength conversion is achieved via the modulational instability (MI) of two orthogonally polarized pump waves with different frequencies copropagating in a polarization maintaining fiber (PMF) [18][19][20]. More precisely, we theoretically show that delays could be obtained over a wide range by simply adjusting the wavelength separation between the two pumps.…”

Section: -Introductionmentioning

confidence: 99%

Design of a continuously tunable delay line using vectorial modulational instability and chromatic dispersion in optical fibers

Pitois¹,

Finot²,

Fatome³

et al. 2009

Optics Communications

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International audienceWe design an all-optical tunable delay line based on both dispersive and wavelength conversion stages involving modulational instability of a two-frequency pump field propagating in a highly birefringent fiber. More precisely, we numerically show that, by varying the frequency separation between the two orthogonally polarized pump waves, we achieve a controllable and continuous delay of hundreds of picoseconds for signal pulse durations from picoseconds to nanoseconds, without pulse distortion and with only small peak power fluctuations. The proposed method does not require any tunable bandpass filter and can be applied to delay digital data streams at tens of Gbit/s depending on the pump power level

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“…Modulation instability (MI) as a well-known nonlinear phenomenon has attracted considerable interest [1][2][3][4][5][6][7][8][9]. MI can be found in many fields of physics, such as nonlinear optics, fluid dynamics and plasma physics.…”

Section: Introductionmentioning

confidence: 99%

Modulation instability induced by cross-phase modulation in a dual-wavelength dispersion-managed soliton fiber ring laser

Luo

et al. 2010

Appl. Phys. B

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Abstract:We report on the observation of modulation instability induced by cross-phase modulation in a dual-wavelength operation dispersion-managed soliton fiber ring laser with net negative cavity dispersion. The passively mode-locked operation is achieved by using nonlinear polarization rotation technique. A new type of dual-wavelength operation, where one is femtosecond pulse and the other is picosecond pulse operation, is obtained by properly rotating the polarization controllers. When the dual-wavelength pulses are simultaneously circulating in the laser ring cavity, a series of stable modulation sidebands appears in the picosecond pulse spectrum at longer wavelength with lower peak power due to modulation instability induced by cross-phase modulation between the two lasing wavelengths. Moreover, the intensities and wavelength shifts of the modulation sidebands can be tuned by varying the power of the femtosecond pulse or the lasing central wavelengths of the dual-wavelength pulses. The theoretical analysis of the modulation instability induced by cross-phase modulation in our fiber laser is also presented.

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Demonstration of a nonlinear gap in the modulational instability spectra of wave propagation in highly birefringent fibers

Cited by 30 publications

References 7 publications

Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Theoretical investigation of modulational instability in semiconductor doped dispersion decreasing fiber and its cutting edge over the existing fiber systems

Design of a continuously tunable delay line using vectorial modulational instability and chromatic dispersion in optical fibers

Modulation instability induced by cross-phase modulation in a dual-wavelength dispersion-managed soliton fiber ring laser

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