Modulational instability - Wikipedia
In the fields of nonlinear optics and fluid dynamics, modulational instability or sideband instability is a phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity, leading to the generation of spectral-sidebands and the …
Modulational Instability – optical fiber, nonlinear Schrödinger ...
Modulational instabilities (sometimes called sideband instabilities) can result from different kinds of nonlinearities. In the context of optics, and in particular in nonlinear fiber optics, they are usually caused by the Kerr nonlinearity of an optical fiber in conjunction with …
调制不稳定性及其增益的计算 (含源代码) Modulation instability …
许多非线性系统如非线性光学、流体力学和等离子体物理学都存在一种不稳定性，它是由非线性效应和色散效应的互相作用导致的对稳态的调制作用，这种现象称为调制不稳定性 (Modulation instability, MI)。 考虑一束泵浦光在光纤中传输，满足简化的非线性薛定谔方程，忽略其损耗，可写成： i\frac {\partial A} {\partial z}=\frac {\beta_ {2}} {2}\frac {\partial^ {2}A} {\partial T^ {2}}-\gamma\left| A \right|^ {2}A, (1) 其中, A\left ( z,T \right) 表示慢变包络的振幅, \beta_ {2} 是群速 …
Formation of matter-wave soliton trains by modulational …
2017年4月28日 · By exploiting a shallow zero-crossing of a Feshbach resonance, we characterize modulational instability and its role in the formation of matter-wave soliton trains from a Bose-Einstein condensate.
We investigate the nonlinear stage of the modulational (or Benjamin–Feir) instability by characterizing the initial value problem for the focusing nonlinear Schr ̈odinger (NLS) equation with nonzero boundary conditions (NZBC) at infinity. We do so using the recently formulated inverse scattering transform (IST) for this problem.
Modulation instability: The beginning - ScienceDirect
2009年3月15日 · In its simplistic version, the effect of modulation instability is the result of interaction between a strong carrier harmonic wave at a frequency ω, and small sidebands ω ± Ω. This is the particular case of four-wave interaction (two …
Modulational instability, interactions of localized wave …
2019年11月1日 · This paper investigates the modulational instability and the interactions among nonlinear localized waves such as breathers, rogue waves and semi-rational solitons of the modified self-steepening nonlinear Schrödinger equation.
Modulational instability, generation, and evolution of rogue …
2024年10月7日 · In this paper, we investigate several properties of the modulational instability (MI) and rogue waves (RWs) within the framework of the generalized fractional n
We investigate the nonlinear stage of the modulational (or Benjamin-Feir) instability by characterizing the initial value problem for the focusing nonlinear Schrödinger (NLS) equation with nonzero boundary conditions (NZBC) at infinity.
Fluctuations and correlations in modulation instability
2012年6月24日 · Through time-resolved observations, we identify intrinsic properties of these fluctuations that are hidden in ensemble measurements. We acquire single-shot spectra of modulation instability...