Wave localization in generalized Thue-Morse superlattices with disorder

被引:18
作者
Deych, LI
Zaslavsky, D
Lisyansky, AA
机构
[1] Department of Physics, Queens College of the City University of New York, Flushing, NY
来源
PHYSICAL REVIEW E | 1997年 / 56卷 / 04期
关键词
D O I
10.1103/PhysRevE.56.4780
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
In order to study an influence of correlations on the localization properties of classical waves in random superlattices we introduce a generalized random Thue-Morse model as a four-state Markov process with two parameters that determine probabilities of different configurations. It is shown that correlations can bring about a considerable change in the transmission properties of the structures and in the localization characteristics of states at different frequencies.
引用
收藏
页码:4780 / 4790
页数:11
相关论文
共 10 条
[1]   THE PARADOX WITH THE STATIC CONDUCTIVITY OF A ONE-DIMENSIONAL METAL [J].
ABRIKOSOV, AA .
SOLID STATE COMMUNICATIONS, 1981, 37 (12) :997-1000
[2]   ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1958, 109 (05) :1492-1505
[3]   Scaling behavior of the localization length in random dimer harmonic chains with thermal correlations [J].
Cressoni, JC ;
Lyra, ML .
PHYSICAL REVIEW B, 1996, 53 (09) :5067-5069
[4]   RESONANCES IN RANDOM BINARY OPTICAL MEDIA [J].
CRISANTI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22) :5235-5240
[5]   LYAPUNOV EXPONENT FOR PRODUCTS OF MARKOVIAN RANDOM MATRICES [J].
CRISANTI, A ;
PALADIN, G ;
VULPIANI, A .
PHYSICAL REVIEW A, 1989, 39 (12) :6491-6497
[6]   Generalized Lyapunov exponents for products of correlated random matrices [J].
deOliveira, MJ ;
Petri, A .
PHYSICAL REVIEW E, 1996, 53 (03) :2960-2963
[7]   ABSENCE OF LOCALIZATION IN A RANDOM-DIMER MODEL [J].
DUNLAP, DH ;
WU, HL ;
PHILLIPS, PW .
PHYSICAL REVIEW LETTERS, 1990, 65 (01) :88-91
[8]   PHONON-TRANSMISSION RATE, FLUCTUATIONS, AND LOCALIZATION IN RANDOM SEMICONDUCTOR SUPERLATTICES - GREENS-FUNCTION APPROACH [J].
NISHIGUCHI, N ;
TAMURA, S ;
NORI, F .
PHYSICAL REVIEW B, 1993, 48 (04) :2515-2528
[9]  
NISHIGUCHI N, 1993, PHYS REV B, V48, P426
[10]   ACOUSTIC INTERFERENCE IN RANDOM SUPERLATTICES [J].
TAMURA, S ;
NORI, F .
PHYSICAL REVIEW B, 1990, 41 (11) :7941-7944