Modulation instability, Cherenkov radiation, and Fermi–Pasta–Ulam recurrence
نویسندگان
چکیده
منابع مشابه
Modulation instability, Cherenkov radiation and FPU recurrence
We study, numerically, the influence of third-order dispersion (TOD) on modulation instability (MI) in optical fibers described by the extended nonlinear Schrödinger equation. We consider two MI scenarios. One starts with a continuous wave (CW) with a small amount of white noise, while the second one starts with CW with a small harmonic perturbation at the highest value of the growth rate. In e...
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The long-term behaviour of spatial modulation instability in nonlocal nonlinear Kerr media is studied theoretically and numerically. Seeding the modulation instability with a periodic modulation leads to an energy transfer to higher-order modes and the long-term behaviour of the system shows the Fermi–Pasta–Ulam recurrence. For large spatial frequencies, close to the cut-off frequency, the stab...
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We study induced modulation instability in a nematic liquid crystal cell. Two broad elliptical beams along one direction are launched into the cell. The two beams have slightly different angle in order to create a sinusoidally varying intensity at the entrance of the cell. In this way, the gain of perturbations with different spatial frequency is investigated. The evolution of the optical patte...
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Instabilities are common phenomena frequently observed in nature, sometimes leading to unexpected catastrophes and disasters in seemingly normal conditions. One prominent form of instability in a distributed system is its response to a harmonic modulation. Such instability has special names in various branches of physics and is generally known as modulation instability (MI). The MI leads to a g...
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ژورنال
عنوان ژورنال: Journal of the Optical Society of America B
سال: 2012
ISSN: 0740-3224,1520-8540
DOI: 10.1364/josab.29.001930