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The Nonlinear Research Of PT Symmetric Optical Waveguide

Posted on:2017-04-26Degree:MasterType:Thesis
Country:ChinaCandidate:Y Q LiFull Text:PDF
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Optical solitons play a vital role in modern optical communication,due to the shape unchanged advantage of long distance transmission in the optical waveguide.Most of all,because of great potential applications in all-optical information technology and data storage,optical solitons have been studied extensively.In 1998,the concept of parity-time(PT)symmetry was first put forward and used in pioneering research in quantum mechanics for complex Hamiltonian,and then quickly extended to the field of optics.It has exhibit-ed some unique optical properties such as power oscillation and birefringence,which have been confirmed by a large number of experiments.PT symmetric optical waveguide solitons as a nonlinear phenomenon,are made up of different waveguide internal factors including gain,loss and nonlinear dispersion as the result of mutual balance.Under the appropriate modulation of PT symmetric potential,it can obtain abundant soliton structures and improve the transmis-sion performance of optical waveguide.Thus,the dynamics of PT symmetric soliton propagation in the waveguide research both from theory and practice is of great importance.Based on the conservative and dissipation characteristic of the optical waveguide,we will examine optical PT symmetric form and propagation char-acteristics of the soliton.We have stuied the optical PT symmetric soli-tons in the conservative optical waveguide system described by nonlinear Schrodinger equation and in the dissipative optical waveguide system described by Ginzburg-Landau equation.Therefore,in this paper,the concrete contents include the following two aspects:1.This paper has studied the beam conserved transport situation in the complex refractive index modulation of optical waveguide medium,the slowly varying envelope with PT symmetric potential amplitude can be described as a(2+1)-dimensional nonlinear Schrodinger equation,and the optical field is ob-tained by separation variable method to calculate the slowly varying envelope amplitude.We can gain different kinds of dromion structure under the diffrac-tion effect,or the modulation of PT symmetric potential,and mainly discusses the impact of PT symmetric potential on the light field amplitude,pulse width,and the number of petals.The theoretical results can promote to understand deeply the optical transmission mode to a certain extent.Moreover,the petals structures are benefited for controlling the angle distribution of optical modes,which realizes effective arrangement of optical resources.2.This paper has studied the beam dissipative transmission in the PT sym-metric optical waveguide.Under the modulation of the PT symmetric poten-tial,the system will produce a gain or loss.In this kind of dissipative system,the beam transmission formed with PT symmetric potential can be described by(1 + 1)-dimensional variable coefficients Ginzburg-Landau equation.We mainly consider the influence of PT-symmetry on the structure,and get various structures,such as single-soliton structure,periodic wave structure,soliton-like structure and so on.The results here show that the PT-symmetric potential plays an important role for obtaining soliton structures,and we can design op-tical switches depending on the different amplitude of soliton-like structures which are formed by convex or concave in the middle of the structures.
Keywords/Search Tags:PT-symmetry, waveguide optical, soliton, the nonlinear Schrodinger equation, Ginzburg-Landau equation, the bilinear method
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