Localization of classical waves in two-dimensional random media: A comparison between the analytic theory and exact numerical simulation

被引:34
作者
Gupta, BC [1 ]
Ye, Z [1 ]
机构
[1] Natl Cent Univ, Dept Phys, Wave Phenomena Lab, Chungli 32054, Taiwan
来源
PHYSICAL REVIEW E | 2003年 / 67卷 / 03期
关键词
D O I
10.1103/PhysRevE.67.036606
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The localization length of classical waves in two-dimensional random media is calculated exactly, and is compared with the theoretical prediction from the current analytic theory. Significant discrepancies are observed. It is also shown that as the frequency varies, critical changes in the localization behavior can occur. However, by a rescaling of parameters the two results tend to match each other for weak scattering. Possible reasons for the discrepancies are discussed.
引用
收藏
页数:7
相关论文
共 41 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[2]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[3]   Statistical signatures of photon localization [J].
Chabanov, AA ;
Stoytchev, M ;
Genack, AZ .
NATURE, 2000, 404 (6780) :850-853
[4]   Acoustic attenuation by two-dimensional arrays of rigid cylinders [J].
Chen, YY ;
Ye, Z .
PHYSICAL REVIEW LETTERS, 2001, 87 (18) :184301-1
[5]   Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays [J].
Chen, YY ;
Ye, Z .
PHYSICAL REVIEW E, 2001, 64 (03) :6-366166
[6]   MICROWAVE LOCALIZATION BY 2-DIMENSIONAL RANDOM SCATTERING [J].
DALICHAOUCH, R ;
ARMSTRONG, JP ;
SCHULTZ, S ;
PLATZMAN, PM ;
MCCALL, SL .
NATURE, 1991, 354 (6348) :53-55
[7]   Single parameter scaling in one-dimensional localization revisited [J].
Deych, LI ;
Lisyansky, AA ;
Altshuler, BL .
PHYSICAL REVIEW LETTERS, 2000, 84 (12) :2678-2681
[8]   THE MULTIPLE SCATTERING OF WAVES .1. GENERAL THEORY OF ISOTROPIC SCATTERING BY RANDOMLY DISTRIBUTED SCATTERERS [J].
FOLDY, LL .
PHYSICAL REVIEW, 1945, 67 (3-4) :107-119
[9]  
FRISCH U, 1968, PROBABILITIES METHOD
[10]   OBSERVATION OF PHOTON LOCALIZATION IN A 3-DIMENSIONAL DISORDERED SYSTEM [J].
GENACK, AZ ;
GARCIA, N .
PHYSICAL REVIEW LETTERS, 1991, 66 (16) :2064-2067