Numerical evaluation of plane-wave diffraction by a doubly periodic grating
Numerical evaluation of plane-wave diffraction by a doubly periodic grating
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双周期光栅平面波衍射的数值计算
DOI：
10.1029/96rs02153
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发表时间：
1996
期刊：
影响因子：
1.6
通讯作者：
Y. Okuno
中科院分区：
文献类型：
--
作者：
T. Matsuda;Y. Okuno
本文提出了一种分析平面波在双周期光栅上衍射的数值算法。该算法是基于Yasuura方法：衍射场展开的Floquet模式的双周期结构，并确定的展开系数，使近似解满足边界条件的最小二乘意义下。一个数值技术解决由此产生的大规模最小二乘问题的发展。因此，本算法可以成功地实现在台式计算机，如工程工作站。这在数值例子中得到了证明。此外，数值证实，本算法使我们能够解决由介电或金属制成的双周期光栅在谐振区（即，光栅的单位单元的波长和尺寸具有相同的数量级）;波长的范围可以从可见光到红外线。该算法也适用于微波区域的问题。
A numerical algorithm is presented for analyzing plane-wave diffraction by a doubly periodic grating whose surface profile is corrugated periodically in two directions. The algorithm is based on the Yasuura method: diffracted fields are expanded in terms of Floquet modes for doubly periodic structures, and the expansion coefficients are determined so that approximate solutions satisfy the boundary conditions in the sense of least squares. A numerical technique for solving the resultant large-sized least squares problem is developed. As a result, the present algorithm can be successfully implemented on a desktop computer such as an engineering workstation. This is demonstrated in numerical examples. Further, it is numerically confirmed that the present algorithm enables us to solve the problems of diffraction by a doubly periodic grating made of dielectric or metal in the resonance region (i.e., the wavelength and the size of a unit cell of the grating are of the same order); the wavelength can range from visible to infrared. The algorithm is applicable also to problems in the microwave region.