现代衍射理论中的Sommerfeld - Malyuzhinets技术

M. Lyalinov
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引用次数: 1

摘要

角(或楔形)畴的衍射问题在衍射理论中占有特殊的地位,这是由于衍射理论中各种各样的理论思想及其对波散射现象的实际意义。这个话题的历史始于1896年A, Sommerfeld和后来W的开创性工作,这是许多科学家的贡献。20世纪30年代g.d. Malyuzhinets的论文为其进一步发展开辟了道路,现在Somherfeld - Malyuzhinets方法是一种毫无缺陷的、最有效的、应用最广泛的方法。由于基于Somherfeld - Malyuzhinets方法的结果的局域化原理,可以被几何衍射理论(TTD)或其等效版本用于构造研究和工程实践的各种情况下的远场渐近解。本课程适合本科生、研究生、蜡现象工程、物理和应用数学领域的研究人员。基本知识。在复杂的xvariables函数分析。PD方程加偏转法是可行的。将提供演示文稿和幻灯片的副本。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sommerfeld - Malyuzhinets Technique in Modern Diffraction Theory
The diffraction problems in angular (or wedge-shaped) domains occupy a special place in diffraction theory because of the wide variethi f the rlrtbd rmAthe-in1ticd ideas abd their practical signiificancO to the wave scattering phenomena. The, history Of the topic begins With the pioneen'iig work by A, Sommerfeld of 1896 nd later W as contributed by many scientists. Papers by G.D Malyuzhinets of the 19 30s opened a way to furthei developments, and now the Sommerfeld-Malyuzhnets approach is without clobt, the most efimcrent and Wilely appliahe one, Owing to tbeh local6zation principle the results bised on the Somherfeld Malyu,zhinets method can be exploited by the Geometrical Theory of Diffraction (TTD) or its equivalent versions for construction of the far field asmmptotic solutions in vaiious sitations of the research and engineering practice. The course shoud be of special interest t undergraduate and po stgraduate student, reseachebrs in Waxe-phenomena engilneeiing, phy sics and aplied Mathematics. Basic knowledge. in complex xvariables functions analysis. PD equations add asylLrXmptotic mtielthods is dsitable. Copies ofpresentadon slides will be provided.
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