基于Tikhonov正则化的逆向基本解算子步进方法  

Inverse Fundamental Operator Marching Method Based on Tikhonov Regularization

作　　者：刘克英[1] 李鹏[1,2] 

机构地区：[1]华北水利水电学院,河南郑州450011 [2]西安交通大学,陕西西安710061

出　　处：《华北水利水电学院学报》2011年第2期147-151,共5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：对于具有多层介质的缓变波导中的反边界值问题,根据波导中波在各个传播模式上能量(2范数的平方)分量选择参数的IFOMM方法给出了一种基于Tikhonov正则化策略.该算法在具有多界面的波导中的反问题计算中,快速、高效、准确,且具有很强的稳定性,特别适合计算长距离、多界面缓变波导中波的传播.For the inverse boundary value problem in the dispersion-decreasing waveguide with multi-layered medium,a strategy based on Tikhonov regularization is put forward according to IFOMM method which waves select parameters from the energy（2 norm＇s square） component in every propagation mode in waveguides.The algorithm is rapid,efficient and accurate in the computation of inverse problems in the multi-interface waveguide and is so stable that it is especially suitable for calculating the wave propagation in the long-distance,multi-interface dispersion-decreasing waveguide.

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 

分 类 号：O177.1[理学—数学]