SEMI-INFINITE DIFFRACTION GRATINGS - I
SEMI-INFINITE DIFFRACTION GRATINGS - I
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DOI：
10.1002/cpa.3160180119
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发表时间：
1965-01-01
影响因子：
3
通讯作者：
KARP, SN
中科院分区：
文献类型：
--
作者：
HILLS, NL;KARP, SN
本文从数学上研究了平面波在半无限长小圆柱光栅上的衍射问题。光栅元件被假定为与波长相比是小的并且被宽地间隔开。所有的元素之间的相互作用都考虑到通过离散Wiener-Hopf技术。所产生的散射场被证明是由一组特定的平面波加上一个柱面波。所谓的共振或瑞利间距被认为是一般解决方案的限制情况。精确解与单次散射和基尔霍夫型近似得到的结果进行了比较。
This paper is a mathematical study of the diffraction of plane waves by a semi-infinite grating of small cylinders. The grating elements are assumed to be small compared to a wave length and to be widely spaced. All interactions between the elements are taken into account by means of the discrete Wiener-Hopf technique. The resulting scattered field is shown to be composed of a certain set of plane waves plus a cylindrical wave. The so-called resonant or Rayleigh spacings are considered as limiting cases of the general solution. The exact solution is compared with that obtained by single scattering and by Kirchhoff type approximations.