| 光栅反散射问题数值计算的优化方法 |
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| 引用本文： | 尹伟石,张德悦,马富明. 光栅反散射问题数值计算的优化方法[J]. 吉林大学学报(理学版), 2011, 49(5): 797-801 |
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| 作者姓名： | 尹伟石 张德悦 马富明 |
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| 作者单位： | 1. 长春理工大学 理学院, 长春 130022,2. 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:10971083) |
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| 摘 要： | 考虑由近场数据重构一维光栅的形状.先在Rayleigh假设的情况下,通过Fourier展开方法近似散射场,再使用优化方法对光栅形状进行重构,并给出了数值算例.数值实验表明,入射角对重构效果影响显著.
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| 关 键 词： | 光栅 反散射 Rayleigh假设 Helmholtz方程 优化方法 |
| 收稿时间： | 2011-02-21 |
Numerical Calculation of the Inverse Scattering Problem for Grating by Optimization Method |
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| YIN Wei-shi,ZHANG De-yue,MA Fu-ming. Numerical Calculation of the Inverse Scattering Problem for Grating by Optimization Method[J]. Journal of Jilin University: Sci Ed, 2011, 49(5): 797-801 |
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| Authors: | YIN Wei-shi ZHANG De-yue MA Fu-ming |
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| Affiliation: | 1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;
2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | We considered the inverse diffraction of a time-harmonic wave incidence upon a periodic structure(grating) by near field data.First,based on the Rayleigh assumption,we approximated the scattered field by Fourier method.Then,the inverse scattering problem was solved by an optimization method.The numerical experiments show that the incident angles affect the numerical results. |
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| Keywords: | grating inverse scattering Rayleigh hypothesis Helmholtz equation optimization method |
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