Angular Power Spectra of Fractal Structures

Dogariu, Aristide; Uozumi, Jun; Asakura, Toshimitsu

doi:10.1080/09500349414550741

Cited by 11 publications

(3 citation statements)

References 8 publications

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“…Figures 2 ( a ) -( f ) show the theoretical spectrum curves of N = 1, 2, 3, 4, 5 , 6 respectively. The vertical axis in the figure indicates normal intensity and the horizontal axis indicates afx.…”

Section: Va(f) = V M + L ( F ) mentioning

confidence: 99%

Study on the spectrum of phase fractal structure

Xihua

Guo

et al. 2001

Journal of Modern Optics

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Fuhua (2001) Study on the spectrum of phase fractal structure, Journal of Modern Optics, 48:9, Abstract.In this paper, the term of phase fractal structure is presented. T h e Cantor relief structure was designed and fabricated by photolithography. We derived its recurrence formulas for the Fourier spectrum function and pointed out that its power spectrum is composed of two parts, the spectrum for the main structure and the spectrum for the accompanying structure. T h e power spectrum of six concurrent generations and the experimental power spectrum are also illustrated and its characteristics are analysed. Joicrnal of Modern Optics ISSN 0950-0340 print/ISSN 1362-3044 online 0 2001 Taylor

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Section: Va(f) = V M + L ( F ) mentioning

confidence: 99%

Study on the spectrum of phase fractal structure

Xihua

Guo

et al. 2001

Journal of Modern Optics

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“…Such study has been initiated by Japanese scientist Professor TAsakura and his collaborators [2]. Self-similarity, fractal dimension, power spectrum ofthe field diffracted by fractals have been studied in detail by this research team [3,4].…”

Section: Introductionmentioning

confidence: 99%

Informative content of a field diffracted by cantor bars

Maksimyak

Ryukhtin

1999

SPIE Proceedings

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In this paper we represent the results of an investigation concerning to some peculiarities of reproduction of the triadic Cantor set structure at the diffracted optical field. For the input fractal of the 5'th level, image fractals of all levels from 1 to 4 are observed at the diffracted field. The use of the wavelet-transform provides a noise suppressing at the images of different levels. The experimental results are shown to be in a good agreement with ones obtained through computer simulation.

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“…Since 1986, studies on the di raction phenomena caused by fractal objects and fractal holograms have been reported [1][2][3][4][5][6][7]. Study on the spectrum of fractal structure is the advanced branch in fractal optics and the new eld in Fourier optics.…”

Section: Introductionmentioning

confidence: 99%

Study on the spectrum of phase fractal structure

Xihua

Guo

et al. 2001

Journal of Modern Optics

View full text Add to dashboard Cite

In this paper, the term of phase fractal structure is presented. The Cantor relief structure was designed and fabricated by photolithography. We derived its recurrence formulas for the Fourier spectrum function and pointed out that its power spectrum is composed of two parts, the spectrum for the main structure and the spectrum for the accompanying structure. The power spectrum of six concurrent generations and the experimental power spectrum are also illustrated and its characteristics are analysed.

show abstract

Angular Power Spectra of Fractal Structures

Cited by 11 publications

References 8 publications

Study on the spectrum of phase fractal structure

Study on the spectrum of phase fractal structure

Informative content of a field diffracted by cantor bars

Study on the spectrum of phase fractal structure

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