לוח אירועים כללי

מאי 2018
אבגדהוש
293012345
6789101112
13141516171819
20212223242526
272829303112
3456789
מאי
22
2018
אירועים בתאריך 22 במאי 2018

סמינר המחלקה למתמטיקה והנדסה אופטית

תאריך:22.5.2018
שעה:00:00
מיקום: P401
זמן תחילת האירוע: 13:00
זמן סיום האירוע: 14:00
הגוף המארגן: המחלקה לפיזיקה
קהל יעד: פתוח לכולם
תיאור האירוע: Speaker: Dr. Avner Peleg Title: Nonlinear Schrödinger equations, Lotka-Volterra models, and control of soliton collisions in broadband optical waveguide systems Abstract Transmission rates in broadband optical waveguide systems are significantly enhanced by launching many pulse sequences through the same waveguide. Since pulses from different sequences propagate with different group velocities, intersequence pulse collisions are very frequent, and can lead to severe transmission degradation. On the other hand, the energy exchange in pulse collisions can be beneficially used for realizing fast control of the transmission. In the current work we develop a general approach for exploiting the energy exchange in intersequence collisions for transmission stabilization and switching, using solitons as the optical pulses. The approach is based on showing that collision-induced amplitude dynamics of N sequences of solitons of the nonlinear Schrödinger (NLS) equation in the presence of dissipative perturbations can be described by N-dimensional Lotka-Volterra (LV) models. To derive the LV models, we first analyze the effects of a single two-soliton collision, using a perturbative expansion in the eigenmodes of the linear operator describing small perturbations about the NLS soliton. We then use stability and bifurcation analysis for the equilibrium points of the LV models to develop ways for achieving robust transmission stabilization and switching that work well for a variety of optical waveguides. Further enhancement of transmission stability is enabled by suppression of resonant emission of radiation in nonlinear waveguide couplers with frequency dependent linear gain-loss. Furthermore, we show that supercritical Hopf bifurcations of the equilibrium points of the LV models can be used to induce large stable oscillations of soliton amplitudes along ultra-long distances. The latter finding is an important step towards realizing spatio-temporal chaos with multiple sequences of colliding solitons in nonlinear optical waveguides.
שם איש קשר: ד"ר עאטף שלאבנה
דוא"ל: shalabney@braude.ac.il