光栅反散射问题数值计算的优化方法

J4 ›› 2011, Vol. 49 ›› Issue (05): 797-801.

Numerical Calculation of the Inverse Scattering Problemfor Grating by Optimization Method

YIN Weishi¹, ZHANG Deyue², MA Fuming²

1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;
2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2011-02-21 Online:2011-09-26 Published:2011-09-27
Contact: 马富明 E-mail:mfm@jlu.edu.cn

Abstract

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.

Key words: grating, inverse scattering, Rayleigh hypothesis, Helmholtz equation, optimization method

CLC Number:

O241.82

YIN Wei-Dan, ZHANG De-Yue, MA Fu-Meng. Numerical Calculation of the Inverse Scattering Problemfor Grating by Optimization Method[J].J4, 2011, 49(05): 797-801.

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Numerical Calculation of the Inverse Scattering Problemfor Grating by Optimization Method

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