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Anderson localization in random and Fabonacci quasi-periodic binary waveguide array


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Anderson localization in random and Fabonacci quasi-periodic binary waveguide array
Yin Cheng1Xu Tian2Shan Minglei1Chen Bingyan1Han Qingbang1Zhu Changping1
1.Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology,Hohai University, Changzhou 213022,China; 2.College of Science,Nantong University,Nantong 226007,China
Anderson localization random sequence Fibonacci sequence binary waveguide arrays transfer matrix method transition localization length electrical field one-dimensional rectangular microwaves waveguide
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.


[1] Anderson P W.Absence of diffusion in certain random lattices[J].Physical Review,1958,109(5):1492-1505.
[2]Thouless D J.Electrons in disordered systems and the theory of localization[J].Physics Reports,1974,13(3):93-142.
[3]John S.Electromagnetic absorption in a disordered medium near a photon mobility edge[J].Physical Review Letters,1984,53(22):2169-2172.
[4]Deych L I,Erementchouk M V,Lisyansky A A.Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states[J].Physical Review Letters,2003,90(12):126601.
[5]He S,Maynard J D.Detailed measurements of inelastic scattering in Anderson localization[J].Physical Review Letters,1986,57(25):3171-3174.
[6]Segev M.Anderson localization of light[J].Nature Photonics,2013,7(3):197-204.
[7]Raedt H D,Lagendijk A,Vries P D.Transverse localization of light[J].Physical Review Letters,1989,62(1):47-50.
[8]Schwartz T,Bartal G,Fishman S,et al.Transport and Anderson localization in disordered two-dimensional photonic lattices[J].Nature,2007,446(7131):52-55.
[9]Levi L,Rechtsman M,Freedman B,et al.Disorder-enhanced transport in photonic quasicrystals[J].Science,2011,332(637):1541-1544.
[10]Levi L,Krivolapov Y,Fishman S,et al.Hyper-transport of light and stochastic acceleration by evolving disorder[J].Nature Physics,2012,8(12):912-917
[11]Shi Xianling,Chen Xianfeng,Malomed B A,et al.Anderson localization at the subwavelength scale for surface plasmon polaritons in disordered arrays of metallic nanowires[J].Physical Review B,2014,89(19):195428.
[12]Kuhl U,Izrailev F M,Krokhin A A.Enhancement of localization in one-dimensional random potentials with long-range correlations[J].Physical Review Letters,2008,100(12):126402.
[13]Fernández-Marín A,Méndez-Bermúdez J,Carbonell J,et al.Beyond Anderson localization in 1D:Anomalous localization of microwaves in random waveguides[J].Physical Review Letters,2014,113(23):622-629
[14]Yin Cheng,Cao Zhuangqi,Shen Qishun.Why SWKB approximation is exact for all SIPs[J].Annals of Physics,2010,325(3):528-534.


Last Update: 2016-06-30