波在多层介质缓变波导中的传播  

Wave Propagtion in Weakly Rangedependent Multi-layered Waveguides

作　　者：李鹏[1,2] 蔡洪涛[1] 

机构地区：[1]华北水利水电学院,河南郑州450045 [2]西安交通大学,陕西西安710061

出　　处：《华北水利水电学院学报》2010年第5期153-156,共4页North China Institute of Water Conservancy and Hydroelectric Power

基　　金：新世纪优秀人才支持计划项目(08-0450);西安交通大学项目(985II)

摘　　要：为了求解波在声学和电磁学等大尺度分层介质中的传播问题,给出了波在这种波导中的各个传播模式的传播特性及其理论证明,并基于该理论提出了一种稳定的正则化算法.该算法可应用于具有多层介质的波导中,具有很强的稳定性,特别适合计算长距离、多界面缓变波导中波的传播反问题中的正则化处理.In order to solve the problems of waves propagating in the largescale multi-layered media such as acoustical and electromagnetical media etc.,the propagation property and theoretical proof of every propagation mode were put forward for waves propagating in this waveguid.Based on the theory,a regularization algorithm was proposed,which could be applied in the multi-layered waveguide and its stability was better.This algorithm was particularly suitable for regulating the wave propagation problem in Long-distance and slow-varied multi-layered waveguides.

关 键 词：反边界值问题 局部正交变换 传播模 DtN重建 步进方法 HELMHOLTZ方程 

分 类 号：O241.82[理学—计算数学]