| 基于Tikhonov正则化的逆向基本解算子步进方法 |
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| 引用本文： | 刘克英,李鹏.基于Tikhonov正则化的逆向基本解算子步进方法[J].华北水利水电学院学报,2011,32(2):147-151. |
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| 作者姓名： | 刘克英 李鹏 |
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| 作者单位： | 1. 华北水利水电学院,河南,郑州,450011
2. 华北水利水电学院,河南,郑州,450011;西安交通大学,陕西,西安,710061 |
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| 基金项目： | 新世纪优秀人才支持计划项目，西安交通大学项目 |
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| 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.
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| 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 |
Inverse Fundamental Operator Marching Method Based on Tikhonov Regularization |
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| LIU Ke-ying,LI Peng.Inverse Fundamental Operator Marching Method Based on Tikhonov Regularization[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2011,32(2):147-151. |
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| Authors: | LIU Ke-ying LI Peng |
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| Affiliation: | 1,2(1.North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China;2.Xi’an Jiaotong University,Xi’an 710061,China) |
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| Abstract: | 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. |
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| Keywords: | inverse boundary value problem local orthogonal transform propagating mode DtN reformulation marching method |
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