二维各向同性均匀随机介质中平面波的传播及其局域性  

Propagation and localization of plane waves in two-dimensional homogeneous and isotropic random medium

作　　者：丁锐[1] 王志良[1] 小仓久直[1] 

机构地区：[1]复旦大学波散射与遥感信息教育部重点实验室,上海200433

出　　处：《物理学报》2008年第9期5519-5528,共10页Acta Physica Sinica

基　　金：高等学校博士学科点专项科研基金(批准号:20060246029)资助的课题~~

摘　　要：讨论了二维各向同性均匀随机介质中平面波的传播及其局域性.假设二维随机介质具有各向同性窄带高斯谱,运用随机泛函理论给出了二维介质中随机平面驻波的解析近似解及其幅度和相位的定量统计特性.计算结果证实了波在随机介质中传播时的局域性.将二维介质中的平面波和柱面波的传播特性作了对比.数值结果模拟了二维随机介质场及平面驻波,并验证了本文结果的正确性.Propagation and localization of plane waves in two-dimensional homogeneous and isotropic random medium is studied. The approximate stochastic solution of the plane wave and the propagation behaviors are obtained by means of stochastic functional approach. The results verify the phenomenon of localization of waves in random medium. The agreements between the theory and the computer simulations are shown to be satisfactory in spite of the use of approximate theoretical formulas.

关 键 词：随机介质 随机泛函 平面波 局域性 

分 类 号：O451[理学—无线电物理]