南京理工大学学报(自然科学版)2016,Vol.40Issue(3):354-359,6.DOI:10.14177/j.cnki.32-1397n.2016.40.03.018
无序和斐波那契序列的二进制波导阵列的安德森局域研究
Anderson localization in random and Fabonacci quasi-periodic binary waveguide array
摘要
Abstract
In order to investigate the effect of correlation on Anderson localization in electromagnetic waves,a random one-dimensional binary waveguide array is proposed based on a random binary sequence , and a quasi-periodic one-dimensional binary waveguide array is proposed based on a Fibonacci sequence .The transition, localization length and the spectra of the electrical field amplitude of tranverse electric ( TE) mode for the two one-dimensional binary waveguide arrays are calculated using transfer matrix method .Experiments are carried out using one-dimensional rectangular microwaves waveguide structure .The peaks of transmission spectrum of the random one-dimensional binary waveguide array proposed based on a random binary sequence are identical with those of periodic waveguide arrays ,the modes near the band edges become localized;the propagation characteristics of the quasi-periodic one-dimensional binary waveguide array proposed based on a Fibonacci sequence is independent of its basic unit , and electromagnetic energy is transferred discretely through the coupling between the spatial distributed localizations .关键词
安德森局域/无序序列/斐波那契序列/二进制波导阵列/分析转移矩阵方法/透过率/局域长度/电场/一维矩形微波波导Key words
Anderson localization/random sequence/Fibonacci sequence/binary waveguide arrays/transfer matrix method/transition/localization length/electrical field/one-dimensional rectangular mi-crowaves waveguide分类
数理科学引用本文复制引用
殷澄,许田,单鸣雷,陈秉岩,韩庆邦,朱昌平..无序和斐波那契序列的二进制波导阵列的安德森局域研究[J].南京理工大学学报(自然科学版),2016,40(3):354-359,6.基金项目
国家自然科学基金(11404092);江苏省自然科学基金 ()