利用惠更斯-菲涅耳-基尔霍夫衍射理论的一些计算问题
Some computational aspects of using Huygens-Fresnel-Kirchoff diffraction theory
AI总结:
本文基于惠更斯-菲涅耳-基尔霍夫衍射理论,探讨其计算问题并应用于三维物体,旨在解决经典衍射案例之外的讨论空间。
摘要:
衍射是一种从不同观点被讨论了几个世纪的现象。由惠更斯[1]提出、随后经菲涅耳[2]、斯托克斯[3]和基尔霍夫[4]修改的非常简单的原理,允许我们通过将入射波替换为众多次级源辐射的波的集合并考虑干涉来进行计算。除了上述科学家外,许多其他人也对这一理论做出了贡献。一份合理的历史回顾可以揭示这一现象研究的一段充满挑战的历史,其中涉及许多名字,而这段故事尚未结束。一份良好的历史回顾可见于文献[5]。孔和圆盘衍射的经典案例被收录在许多学者的教科书中。尽管如此,仍有一些讨论的空间。本文尝试基于原始的惠更斯-菲涅耳-基尔霍夫方法讨论一些计算问题,并将其应用于三维物体。
英文摘要:
Diffraction is a phenomenon, discussed for centuries from various points of view. The very simple principle, proposed by Huygens [1] and then modified by Fresnel[2], Stokes [3] and Kirchoff [4], allows us to make calculations, substituting an incident wave by the multitude of waves, radiated by the number of secondary sources with regard for interference. Besides mentioned scientists, many others have contributed to this theory. A reasonable historical review can reveal a challenging history of the research of this phenomenon with many names and this story is not still ended. A good historical re-view can be seen in [5]. Classical cases of the diffraction by a hole and a disk are included in many text-books for scholars. Nevertheless, there is still some place for discussions. This paper is an attempt to discuss some computational issues, based on the original Huygens-Fresnel-Kirchoff method and apply it to 3D objects.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。