Effects of Levy-type distribution on transverse localization in one-dimensional disordered waveguide arrays

被引：2

作者：

Ardakani, Abbas Ghasempour ^{[1
]}

Safarzadeh, Fatemeh ^{[1
]}

机构：

[1] Shiraz Univ, Dept Phys, Coll Sci, Shiraz, Iran

来源：

JOURNAL OF MODERN OPTICS | 2017年 / 64卷 / 16期

关键词：

Transverse localization; Levy-type distribution; disordered waveguide arrays; effective width; ANDERSON LOCALIZATION; LIGHT; CONDUCTANCE; TRANSPORT;

D O I：

10.1080/09500340.2017.1310317

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this paper, we analyse a one-dimensional disordered waveguide array in which the refractive indices of the waveguides are selected to be random numbers drawn from a Levy-type distribution characterized by the exponent . We study the effect of changing the exponent on the transverse localization effect. It is shown that the quality of transverse localization is improved by decreasing the exponent . Furthermore, we study this effect for several refractive index ranges. The design of disordered waveguide arrays in this way permits control of the degree of transverse localization.

引用

页码：1669 / 1676

页数：8

共 39 条

[1] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1958, 109 (05) :1492-1505

[2] Controlling the transverse localization of THz waves in an InSb based disordered waveguide array using temperature [J].

Ardakani, Abbas Ghasempour .

APPLIED OPTICS, 2013, 52 (18) :4228-4236

[3] A Levy flight for light [J].

Barthelemy, Pierre ;

Bertolotti, Jacopo ;

Wiersma, Diederik S. .

NATURE, 2008, 453 (7194) :495-498

[4] Nonalgebraic length dependence of transmission through a chain of barriers with a Levy spacing distribution [J].

Beenakker, C. W. J. ;

Groth, C. W. ;

Akhmerov, A. R. .

PHYSICAL REVIEW B, 2009, 79 (02)

[5] Direct observation of Anderson localization of matter waves in a controlled disorder [J].

Billy, Juliette ;

Josse, Vincent ;

Zuo, Zhanchun ;

Bernard, Alain ;

Hambrecht, Ben ;

Lugan, Pierre ;

Clement, David ;

Sanchez-Palencia, Laurent ;

Bouyer, Philippe ;

Aspect, Alain .

NATURE, 2008, 453 (7197) :891-894

[6] Porous silicon: a quantum sponge structure for silicon based optoelectronics [J].

Bisi, O ;

Ossicini, S ;

Pavesi, L .

SURFACE SCIENCE REPORTS, 2000, 38 (1-3) :1-126

[7] Bloch oscillations in plasmonic waveguide arrays [J].

Block, A. ;

Etrich, C. ;

Limboeck, T. ;

Bleckmann, F. ;

Soergel, E. ;

Rockstuhl, C. ;

Linden, S. .

NATURE COMMUNICATIONS, 2014, 5

[8] Transport and scaling in quenched two- and three-dimensional Levy quasicrystals [J].

Buonsante, P. ;

Burioni, R. ;

Vezzani, A. .

PHYSICAL REVIEW E, 2011, 84 (02)

[9] Levy walks and scaling in quenched disordered media [J].

Burioni, Raffaella ;

Caniparoli, Luca ;

Vezzani, Alessandro .

PHYSICAL REVIEW E, 2010, 81 (06)

[10] METHOD FOR SIMULATING STABLE RANDOM-VARIABLES [J].

CHAMBERS, JM ;

MALLOWS, CL ;

STUCK, BW .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (354) :340-344

← 1 2 3 4 →