We propose an original, simple, and direct method for the simultaneous estimation of the self-steepening parameter and the fractional Raman contribution in fiber optics. Our proposal is based on the dependence of the modulation instability gain on both parameters, as obtained from a linear stability analysis of the newly introduced photon-conserving generalized nonlinear Schrödinger equation (pcGNLSE), and requires only the CW or quasi-CW pumping of the waveguide under test and a few direct spectral measurements. Further, we demonstrate the feasibility of the estimation procedure by means of detailed simulations for typical waveguide parameters in relevant spectral ranges. Last, we discuss the range of applicability of the proposed method and compare its results, advantages, and disadvantages with a recently introduced method based on short-pulse dynamics.

中文翻译：

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同时估计光纤中自增强和分数拉曼贡献的直接方法

我们提出了一种新颖，简单，直接的方法，用于同时估算光纤中的自增强参数和分数拉曼贡献。我们的建议基于调制不稳定性增益对两个参数的依赖关系，这是通过对新引入的保光子广义非线性Schrödinger方程（pcGNLSE）的线性稳定性分析获得的，并且仅需要对CW或准CW泵浦即可。被测波导和一些直接光谱测量。此外，我们通过在相关光谱范围内对典型波导参数进行详细仿真，证明了估算程序的可行性。最后，我们讨论了该方法的适用范围，并比较了其结果，优点，