Non-invasive distributed characterization in phase and intensity of the nonlinear stage of modulation instability

Author(s):  
Corentin Naveau ◽  
Pascal Szriftgiser ◽  
François Copie ◽  
Alexandre Kudlinski ◽  
Matteo Conforti ◽  
...  
Author(s):  
Jian-Hui Zhang ◽  
Lei Wang ◽  
Chong Liu

We study the higher-order generalized nonlinear Schrödinger (NLS) equation describing the propagation of ultrashort optical pulse in optical fibres. By using Darboux transformation, we derive the superregular breather solution that develops from a small localized perturbation. This type of solution can be used to characterize the nonlinear stage of the modulation instability (MI) of the condensate. In particular, we show some novel characteristics of the nonlinear stage of MI arising from higher-order effects: (i) coexistence of a quasi-Akhmediev breather and a multipeak soliton; (ii) two multipeak solitons propagation in opposite directions; (iii) a beating pattern followed by two multipeak solitons in the same direction. It is found that these patterns generated from a small localized perturbation do not have the analogues in the standard NLS equation. Our results enrich Zakharov’s theory of superregular breathers and could provide helpful insight on the nonlinear stage of MI in presence of the higher-order effects.


2015 ◽  
Vol 23 (24) ◽  
pp. 30861 ◽  
Author(s):  
A. Bendahmane ◽  
A. Mussot ◽  
A. Kudlinski ◽  
P. Szriftgiser ◽  
M. Conforti ◽  
...  

Author(s):  
M. Conforti ◽  
A. Mussot ◽  
A. Kudlinski ◽  
S. Rota Nodari ◽  
G. Dujardin ◽  
...  

2019 ◽  
Vol 123 (9) ◽  
Author(s):  
Adrien E. Kraych ◽  
Dmitry Agafontsev ◽  
Stéphane Randoux ◽  
Pierre Suret

Author(s):  
H.W. Deckman ◽  
B.F. Flannery ◽  
J.H. Dunsmuir ◽  
K.D' Amico

We have developed a new X-ray microscope which produces complete three dimensional images of samples. The microscope operates by performing X-ray tomography with unprecedented resolution. Tomography is a non-invasive imaging technique that creates maps of the internal structure of samples from measurement of the attenuation of penetrating radiation. As conventionally practiced in medical Computed Tomography (CT), radiologists produce maps of bone and tissue structure in several planar sections that reveal features with 1mm resolution and 1% contrast. Microtomography extends the capability of CT in several ways. First, the resolution which approaches one micron, is one thousand times higher than that of the medical CT. Second, our approach acquires and analyses the data in a panoramic imaging format that directly produces three-dimensional maps in a series of contiguous stacked planes. Typical maps available today consist of three hundred planar sections each containing 512x512 pixels. Finally, and perhaps of most import scientifically, microtomography using a synchrotron X-ray source, allows us to generate maps of individual element.


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