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The Study of Disorder and Nonlinearity in One-Dimensional Optical Waveguide Array

Author: HeJiang
Tutor: ChenXiangJun
School: Jinan University
Course: Condensed Matter Physics
Keywords: Waveguide array Localized Disorderly Non- diagonal disorder
CLC: TN252
Type: Master's thesis
Year: 2011
Downloads: 22
Quote: 0
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Abstract


When the wave propagation in the periodic structure , will form the band , the wave band can be through the structure . When the periodic structure in local damage , with the top band bottom level will be moved to the band gap , the formation of localized states , this phenomenon is called Anderson localization in solid state physics , and later Anderson localization is also observed one-dimensional and two - dimensional photonic crystal , to become a means of controlling the beam . When nonlinear effects can be neglected , the description of the transmission of light in one-dimensional waveguide array with solid theoretical tight-binding approximation model equivalent optical waveguide uneven children how and refractive index of the periodic structure formed doping. Doping not only changed the waveguide propagation constant , also changes the coupling constant between the waveguides , respectively known as the angle and the non- diagonal disorder destroy cyclical factors include nonlinear effects in optical waveguide containing nonlinear effects the optical waveguide transmission model is discrete nonlinear Schr?dinger equation (DNLS) , it is close to the weak nonlinear effects integrable discrete nonlinear Schr?dinger equation (IDNLS) , discrete soliton solutions . Doped before optical waveguide including diagonal and non- diagonal situation caused localized in the theory and experiment is very consistent , positive and negative angle doped generated soliton attraction and repulsion been confirmed experimentally diagonal disorder safety Hudson model also experiment . But about the non- diagonal disorder , there are some issues worth studying. In this thesis, the non - diagonal disorder on the optical transmission in one-dimensional waveguide array by numerical calculation : (1) non - diagonal disorder on the beam as attractive or repulsive interactions ; 2 negative non-diagonal doped heteroaryl , although the localized states can not be formed , the role of the beam is still exclusive, and even while the angle positively doped , is still exclusion ; 3 at the same time considering the diagonal and non - diagonal disorder Andrews Johnson model , the non- diagonal disorder on the localization an important contribution ; 4. achieve the IDNLS soliton propagation conditions , and to study a variety of doped soliton .

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Photonics technology,laser technology > Optical waveguide and integrated optics > Waveguide
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