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Optical diffraction by regular and random Koch fractals
Since the introduction of the concept of fractal by Mandelbrot1, diffraction phenomena by fractal objects have attracted several researchers26. Some of them have treated the diffraction from random phase screens with fractal properties24. Others have discussed the diffraction by simple regular fractals. In a recent paper7, we reported the Fraunhofer diffraction by Koch curves which are more complicated fractals in the sense that they may contain a rotational operation in their generation. In this paper, we discuss the dimensionality of regular Koch curves and their diffraction patterns, and extend the discussion to the randomized Koch curves and their diffraction patterns.
Optical diffraction by regular and random Koch fractals
Since the introduction of the concept of fractal by Mandelbrot1, diffraction phenomena by fractal objects have attracted several researchers26. Some of them have treated the diffraction from random phase screens with fractal properties24. Others have discussed the diffraction by simple regular fractals. In a recent paper7, we reported the Fraunhofer diffraction by Koch curves which are more complicated fractals in the sense that they may contain a rotational operation in their generation. In this paper, we discuss the dimensionality of regular Koch curves and their diffraction patterns, and extend the discussion to the randomized Koch curves and their diffraction patterns.
Optical diffraction by regular and random Koch fractals
Uozumi, Jun (author) / Kimura, Hiroyuki (author) / Asakura, Toshimitsu (author)
Optics in Complex Systems ; 1990 ; Garmisch,Federal Republic of Germany
Proc. SPIE ; 1319
1990-07-01
Conference paper
Electronic Resource
English
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