2014 - 2015

0510-7610-01
  Optical Solitons                                                                                     
FACULTY OF ENGINEERING
Prof. Boris MalomedWolfson - Engineering120Mon1800-2000 Sem  2
 
 
University credit hours:  2.0

Course description
Credit points: 3
Prerequisites: 0512.2525 - Electromagnetic fields.
                     0509.2846 -  Partial Differential Equations 
Light propagation in optical fibers, bulk and planar waveguides, and Bragg gratings; dispersion and diffraction. Fundamental nonlinearities in optical media, of the Kerr (cubic) and second-harmonic generating (quadratic) types. Fundamental mathematical models: nonlinear Schroedinger equations and systems of coupled equations. Continuous-wave (uniform) states, modulational instability, and the collapse in multidimensional nonlinear media. Temporal and spatial solitons; solitons in optical fibers; polarization and bimodal propagation. Solitons in dual-core couplers and waveguiding arrays; discrete solitons. Introduction to the method of the inverse scattering transform and integrability. Solitons in nonintegrable systems and variational approximation; dispersion management; interactions between solitons and bound states. The potential use of solitons in telecommunications and data-processing schemes. Parametric solitons in media with the quadratic nonlinearity. Gap solitons in gratings structures. Multidimensional, spatiotemporal, and vortical solitons. Solitons in dissipative media and laser cavities; Ginzburg-Landau equations as fundamental models of dissipative optical media.
 

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