The Propagation Characteristics Of Hyperbolic Secant Beam In Nonlocal Logarithmic Saturated Media And Double Gaussian Beam In Nonlocal Planar Waveguide

Optical soliton is a kind of interesting physical phenomena, produce by the balance betweenBeam propagation’s diffraction broadening effects with media’s Nonlinear compression.Snyder-Mitchell model has promoted people to the local spatial soliton in the research upsurge in1997, Many researchers began to research different nonlocal media, theoretical studies of beam’sinteraction and experimental investigate become more and more. In this paper, the transmissioncharacteristics of Sech beams in logarithmic saturated nonlinear media and the transmissioncharacteristics of double Gaussian beams in orthogonally polarized waveguide were analyzed, themain content is summarized as:Frist, Simple classification of soliton, the research status and phenomenon of optical soliton,local media and the local area, the difference between the types of local media are introduced.research status were further to introduced for the logarithmic saturated nonlocal medium andnonlocal planar waveguide.Secondly, Based on Maxwell’s equations, theoretical mode was deduced for sech beampropagation in nonlocal logarithmic saturated media.On this basis, the transmission characteristicsof the1+1dimensional hyperbolic secant beams in logarithmic saturated weakly nonlocalmedia was studied using variational method. Solving drawn critical beam width, and thediscussion of critical beam width shows that the formation of soliton is steady.After that,Variational principles were described in detail, Schr dinger equation of Sechbeam propagation in logarithmic saturated strongly nonlocal nonlinear media used variationalmethod.Results of evolution equation’s each parameter are the same as the propagationcharacteristics of Gaussian beam in general strongly nonlocal media.But conditions of soliton’sformation depends on the critical beam width different from critical power.When the initial beamwidth is not equal to the critical beam width, the1+1dimensional sech spatial breather ofoscillating beam width been obtained.Finally,the propagation rules of double orthogonal polarization and coinciding centreGaussian beams which propagate in nonlocal nonlinear planar waveguide are studied withanalytical method.Evolution equation of two beams’ each parameter and two critical power wasgot. and the size of the two critical power related to the coupling coefficient and the degree oflocal area.For the case of unparalleled refraction,when the initial power equals the critical power,two orthogonal polarization gaussian linear spatial solitons are derived, which are irrelevant withthe degree of nonlocality of medium. For strongly nonlocal case,under the conditions of unparalleled refraction,when the total power of the two beams is equal to two times the criticalpower,two stable gaussian optical solitons can be obtained.two gaussian type breather oforthogonal polarization can be obtained.Further studies showed that large power beam widthperiodically oscillating compression.Smaller power beam were the periodically oscillatingbroadening. The transmission rule of two Gaussian beams in the orthogonal polarization and thecenter coupling nonlocal slab waveguide was numerically simulated by Split-step FFT method.find that the analytical closely conforms to numerical solutions.