研究目的
Investigating the diffraction of plane waves by perfectly-conducting thin screens, focusing on fractal shapes constructed from initiator-generator algorithms.
研究成果
The study concludes by discussing the strengths and weaknesses of the Kirchhoff representation in the context of fractal domains and poses some open questions for future research.
研究不足
The strengths and weaknesses of the Kirchhoff representation in the fractal-domains context are discussed, posing some open questions.
1:Experimental Design and Method Selection:
The study employs Kirchhoff’s theory and 3D Green’s functions to analyze diffraction by fractal screens.
2:Sample Selection and Data Sources:
Focuses on three fractal shapes: Cantor dust, Sierpinski triangle, and Sierpinski carpet.
3:List of Experimental Equipment and Materials:
Not explicitly mentioned.
4:Experimental Procedures and Operational Workflow:
The standard integration over the entire aperture domain is transformed into a circulation around the constituent sub-domain boundaries.
5:Data Analysis Methods:
The scalar Helmholtz equation in 3D is solved to address the fractal-screens problem.
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