TRANSMISSION OF WAVES BY A NONLINEAR RANDOM MEDIUM

被引:22
作者
KNAPP, R
PAPANICOLAOU, G
WHITE, B
机构
[1] COURANT INST,NEW YORK,NY 10012
[2] EXXON RES & ENGN CO,ANNANDALE,NJ 08801
关键词
LOCALIZATION; NONLINEAR WAVES;
D O I
10.1007/BF01029200
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study analytically and numerically the effect of nonlinearity on transmission of waves through a random medium. We introduce and analyze quantities associated with the scattering problem that clarify the lack of uniqueness due to the nonlinearity as well as the localization of waves due to the random inhomogeneities. We show that nonlinearity tends to delocalize the waves and that for very large scattering regions the average transmitted energy is small.
引用
收藏
页码:567 / 583
页数:17
相关论文
共 11 条
[1]  
BABKIN GI, 1980, SOV PHYS JETP
[2]  
DEVILLARD P, 1986, J STAT PHYS, V43
[3]  
KLYATSKIN VI, 1985, IZV VYSSH UCHEBN ZAV, V28
[4]  
KNAPP R, 1989, DISORDER NONLINEARIT, P2
[5]  
KNAPP RJ, 1988, THESIS NEW YORK U
[6]   POWER STATISTICS FOR WAVE-PROPAGATION IN ONE DIMENSION AND COMPARISON WITH RADIATIVE TRANSPORT-THEORY [J].
KOHLER, W ;
PAPANICOLAOU, GC .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (12) :1733-1745
[7]   POWER STATISTICS FOR WAVE-PROPAGATION IN ONE-DIMENSION AND COMPARISON WITH RADIATIVE TRANSPORT-THEORY .2. [J].
KOHLER, W ;
PAPANICOLAOU, GC .
JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (12) :2186-2197
[8]  
MALONEY JV, IN PRESS PHYSICA D
[9]  
PAPANICOLAOU GC, 1978, MATH ASS AM STUDIES, V18
[10]  
WARREN ME, 1987, COMPUTER, V20, P68, DOI 10.1109/MC.1987.1663450