康托莫尔结构的分形维数
Fractal Dimension of the Cantor Moire Structures
摘要：
在最近发表的论文（J. of Modern Optics 50（9）（2003）1477-1486）中，给出了通过叠加包含Cantor分形结构的两个网格观察到的莫尔效应的定性分析。结果表明，云纹效应对康托分形的生长顺序、维数和空隙度的变化是敏感的。同时也验证了云纹图案继承了原始分形的自相似性。在这项工作中，它表明，这些康托莫尔结构也是分形和分形维数与它们相关的理论上确定和实验测量出席菱形在不同的增长顺序的大小。
英文摘要：
In a recently published paper (J. of Modern Optics 50 (9) (2003) 1477-1486) a qualitative analysis of the moire effect observed by superposing two grids containing Cantor fractal structures was presented. It was shown that the moire effect is sensible to variations in the order of growth, dimension and lacunarity of the Cantor fractal. It was also verified that self-similarity of the original fractal is inherited by the moire pattern. In this work it is shown that these Cantor moire structures are also fractals and the fractal dimension associated with them is theoretically determined and experimentally measured attending the size of rhombuses in the different orders of growth.
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