The effect of dispersion on spectral broadening of incoherent continuous-wave light in optical fibers

Soh, Daniel B. S.; Koplow, Jeffrey P.; Moore, Samuel W.; Schroder, Kevin L.; Hsu, W.L.

doi:10.1364/oe.18.022393

Cited by 44 publications

(38 citation statements)

References 11 publications

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“…A similar problem arises in the different context of high-power fiber lasers, in which an incoherent or partially-coherent CW light is subject to spectral broadening during propagation through an optical fiber [11][12][13][14]. Also in this context, the important role of the interaction between fiber dispersion and nonlinearity and the suitability of a polar representation of the signal have been widely recognized.…”

Section: Introductionmentioning

confidence: 89%

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Barletti¹,

Secondini²

2015

Opt. Express

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Abstract:We present a new perturbative approach to the study of signal-noise interactions in nonlinear optical fibers. The approach is based on the hydrodynamic formulation of the nonlinear Schrödinger equation that governs the propagation of light in the fiber. Our method is discussed in general and is developed in more details for some special cases, namely the small-dispersion regime, the continuous-wave (CW) signal and the solitonic pulse. The accuracy of the approach is numerically tested in the CW case.

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Section: Introductionmentioning

confidence: 89%

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Barletti¹,

Secondini²

2015

Opt. Express

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“…Because κ depends only on the final propagation distance z, one can extract κ from the integral in Eq. (12). We obtain the following inequality from Eq.…”

Section: Limitations Of the Analytical Treatmentmentioning

confidence: 98%

“…(12) either numerically or analytically leads directly to p j (z). Equation (12) provides also a number of new insights into the underlying physics of the spectral broadening. To clarify the role of dispersion further, note that the propagation constant k(ω) can be represented by the Taylor series expansion k(ω) = (1/2)β 2 (ω -ω c ) 2 + β 1 (ω -ω c ) + β 0 , where β 2 is the conventional group velocity dispersion term, including the effects of both material and the waveguide dispersion.…”

Section: Analytical Derivation Of Expression Formentioning

confidence: 99%

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Analysis of spectral broadening of incoherent light in optical fibers with nonzero dispersion

Soh

2011

Opt. Eng

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Fiber dispersion plays a significant role in spectral broadening of incoherent continuous-wave light. We develop a self-consistent stochastic model for spectral broadening of incoherent continuous-wave light through nonlinear wave mixing and apply this model to numerical simulations of spectral broadening in a continuous-wave fiber Raman laser. The results of these numerical simulations agree very well with carefully conducted laboratory measurements. Under a wide range of operating conditions, these numerical simulations also exhibit striking features, such as damped oscillatory spectral broadening (during the initial stages of propagation) and eventual convergence to a stationary, steady-state spectral distribution at sufficiently long propagation distances. We analyze the important role of fiber dispersion in such phenomena. We also derive an analytical rate equation expression for spectral broadening, whose numerical evaluation is far less computationally intensive than the fully stochastic simulation, and a mathematical criterion for the applicability of this analytical expression. C 2011 Society of Photo-Optical Instrumentation Engineers (SPIE). IntroductionConsider what is entailed in a full blown numerical simulation of incoherent cw wave mixing. For the simpler case of coherent light containing a comblike distribution of N optical frequencies of known initial phase, one could start at the beginning of fiber (z = 0) and calculate the extent to which power is exchanged between the various spectral components during propagation over a minute distance δz. In the limit of small δz, the increase/decrease in power for each spectral component over the distance δz can be calculated independently. For N spectral components, there are N 3 four-wave mixing interactions that must be considered for each propagation step δz.To further generalize to the case of incoherent light, one must make N relatively large to simulate the effect of a continuous spectral distribution. However, the situation is further complicated by the fact that the initial amplitude and phase of each spectral component is neither known nor deterministic. For each spectral component, to calculate the increase/decrease in power over a distance δz, we must calculate the ensemble average of this observable for a large number of statistically independent trials whose initial amplitude and phase are randomly assigned at z = 0 on the basis of a probability distribution that correctly accounts for the statistical properties of incoherent light. Such an ensemble average is valid because incoherent light is ergodic in the sense that the expectation value for a continuous sequence of a random quantity (such as optical power or spectrum) over a period of time is well represented by the ensemble average of a large number of independent random trials.Thus, in principle, starting with the nonlinear wave mixing equation, derivation of the differential equation for the

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“…In this respect, we first note that the phenomenon of optical wave thermalization does not occur systematically, in the sense that it can be inhibited by different mechanisms, e.g., the presence of a nonlocal nonlinearity [9,43] or the existence of additional invariants in generalized 1D nonlinear Schrödinger-like equations (NLSE) [1,20,44,45]. Another mechanism responsible for a breakdown of optical wave thermalization is related to the causality condition underlying a noninstantaneous nonlinear response of the medium.…”

Section: Introductionmentioning

confidence: 99%

Weak Langmuir optical turbulence in a fiber cavity

Garnier

Mussot

et al. 2016

Phys. Rev. A

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We study theoretically and numerically the dynamics of a passive optical fiber ring cavity pumped by a highly incoherent wave -an incoherently injected fiber laser. The theoretical analysis reveals that the turbulent dynamics of the cavity is dominated by the Raman effect. The forced-dissipative nature of the fiber cavity is responsible for a large diversity of turbulent behaviors: Besides nonequilibrium statistical stationary states, we report the formation of a periodic pattern of spectral incoherent solitons, or the formation of different types of spectral singularities, e.g., dispersive shock waves and incoherent spectral collapse behaviors. We derive a mean-field kinetic equation that describes in detail the different turbulent regimes of the cavity and whose structure is formally analogous to the weak Langmuir turbulence kinetic equation in the presence of forcing and damping. A quantitative agreement is obtained between the simulations of the nonlinear Schrödinger equation with cavity boundary conditions and those of the mean-field kinetic equation and the corresponding singular integro-differential reduction, without using adjustable parameters. We discuss the possible realization of a fiber cavity experimental set-up in which the theoretical predictions can be observed and studied.

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The effect of dispersion on spectral broadening of incoherent continuous-wave light in optical fibers

Cited by 44 publications

References 11 publications

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Signal-noise interaction in nonlinear optical fibers: a hydrodynamic approach

Analysis of spectral broadening of incoherent light in optical fibers with nonzero dispersion

Weak Langmuir optical turbulence in a fiber cavity

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