Solitary pulse propagation in high gain optical fiber amplifiers with normal group velocity dispersion

Peacock, Anna C.; Kruhlak, Robert J.; Harvey, J.D.; Dudley, John M.

doi:10.1016/s0030-4018(02)01382-2

Cited by 51 publications

(24 citation statements)

References 6 publications

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“…Optical pulse propagation in doped optical fibers is mainly considered analytically [5], and in the framework of a generalized nonlinear Schroedinger equation [6]. In modeling the amplified pulse, the pulse bandwidth is assumed to be relatively narrow, and the gain is assumed to have either constant, parabolic, or a Lorentzian lineshape [3]- [6], which does not accurately predict the observed atomic susceptibility of the dopant ions in a glass system [7]. In this contribution, we extend well-established quasi-continuous-wave rate-propagation models of erbium-doped fiber amplifiers (EDFA) [8] to the short pulsed regime.…”

Section: Introductionmentioning

confidence: 99%

Spectrally Resolved Approach for Modeling Short Pulse Amplification in Er$^{3+}$-Doped Fibers

Yahel

Hess

Hardy

2006

IEEE Photon. Technol. Lett.

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Abstract-We study pulse propagation in Er 3+ -doped fiber amplifiers (EDFA) within the framework of a spectrally resolved pulse rate-propagation equations model. Our model accounts for the effects of gain dispersion, gain saturation, waveguide and chromatic dispersion, and amplified spontaneous emission. This model allows us to approximate the effects of nonlinear resonant dispersion on short pulse amplification in doped fibers, without reverting to the generalized nonlinear Schroedinger equation. Numerical results of the time-dependent power spectrum of the amplified pulse demonstrate subpicosecond pulse propagation in EDFAs.Index Terms-Erbium (Er), optical fiber amplifiers, optical fiber dispersion, optical pulse amplifiers.

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Section: Introductionmentioning

confidence: 99%

Spectrally Resolved Approach for Modeling Short Pulse Amplification in Er$^{3+}$-Doped Fibers

Yahel

Hess

Hardy

2006

IEEE Photon. Technol. Lett.

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“…At high pulse energies, Raman scattering may disrupt the self-similar evolution. Under typical amplifier conditions however, the self-similar evolution will be disrupted by the finite gain bandwidth of the amplifier [29, 30]. As the pulse bandwidth becomes comparable to the gain bandwidth, the frequency sweep may deviate from a monotonically-increasing form, which leads ultimately to wave-breaking.…”

Section: Self-similar Parabolic Pulses In Passive and Active Fibermentioning

confidence: 99%

Ultrafast fiber lasers based on self-similar pulse evolution: a review of current progress

2015

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Self-similar fiber oscillators are a relatively new class of mode-locked lasers. In these lasers, the self-similar evolution of a chirped parabolic pulse in normally-dispersive passive, active, or dispersion-decreasing fiber (DDF) is critical. In active (gain) fiber and DDF, the novel role of local nonlinear attraction makes the oscillators fundamentally different from any mode-locked lasers considered previously. In order to reconcile the spectral and temporal expansion of a pulse in the self-similar segment with the self-consistency required by a laser cavity's periodic boundary condition, several techniques have been applied. The result is a diverse range of fiber oscillators which demonstrate the exciting new design possibilities based on the self-similar model. Here, we review recent progress on self-similar oscillators both in passive and active fiber, and extensions of self-similar evolution for surpassing the limits of rare-earth gain media. We discuss some key remaining research questions and important future directions. Self-similar oscillators are capable of exceptional performance among ultrashort pulsed fiber lasers, and may be of key interest in the development of future ultrashort pulsed fiber lasers for medical imaging applications, as well as for low-noise fiber-based frequency combs. Their uniqueness among mode-locked lasers motivates study into their properties and behaviors and raises questions about how to understand mode-locked lasers more generally.

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“…During the past decades, investigations on the optical ber communications have become more and more attractive [1], in which the optical solitons have their potential applications in optical ber transmission systems [2,3]. As we all know, solitonic structures are seen in many elds of sciences and engineering [4,5], among which an optical soliton exists in a ber on the basis of the exact balance between the group velocity dispersion (GVD) and the self-phase modulation (SPM).…”

Section: Introductionmentioning

confidence: 99%

Applications of a Generalized Extended (G'/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients

Zayed

Abdelaziz

2012

Acta Phys. Pol. A

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In the present paper, we construct the travelling wave solutions of two nonlinear Schrödinger equations with variable coecients by using a generalized extended-expansion method, where G = G(ξ) satises a second order linear ordinary dierential equation. By using this method, new exact solutions involving parameters, expressed by hyperbolic and trigonometric function solutions are obtained. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions.

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Solitary pulse propagation in high gain optical fiber amplifiers with normal group velocity dispersion

Cited by 51 publications

References 6 publications

Spectrally Resolved Approach for Modeling Short Pulse Amplification in Er$^{3+}$-Doped Fibers

Spectrally Resolved Approach for Modeling Short Pulse Amplification in Er$^{3+}$-Doped Fibers

Ultrafast fiber lasers based on self-similar pulse evolution: a review of current progress

Applications of a Generalized Extended (G'/G) -Expansion Method to Find Exact Solutions of Two Nonlinear Schrödinger Equations with Variable Coefficients

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