On the spatial Fourier transforms of the Pascal-Sierpinski gaskets

A. Lakhtakia; N. S. Holter

doi:10.1088/0305-4470/19/15/035

On the spatial Fourier transforms of the Pascal-Sierpinski gaskets

A. Lakhtakia, N. S. Holter

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

It has been shown here that the Fourier transform, which can be obtained experimentally, of an evolving fractal can be manipulated to yield the fractal dimension. Although only the Pascal-Sierpinski gaskets have been considered here, because of their generality, it is expected that this technique can be utilized to identify other planar fractals as well.

Original language	English (US)
Article number	035
Pages (from-to)	3147-3152
Number of pages	6
Journal	Journal of Physics A: General Physics
Volume	19
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/19/15/035
State	Published - Dec 1 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics

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10.1088/0305-4470/19/15/035

Cite this

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title = "On the spatial Fourier transforms of the Pascal-Sierpinski gaskets",

abstract = "It has been shown here that the Fourier transform, which can be obtained experimentally, of an evolving fractal can be manipulated to yield the fractal dimension. Although only the Pascal-Sierpinski gaskets have been considered here, because of their generality, it is expected that this technique can be utilized to identify other planar fractals as well.",

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N2 - It has been shown here that the Fourier transform, which can be obtained experimentally, of an evolving fractal can be manipulated to yield the fractal dimension. Although only the Pascal-Sierpinski gaskets have been considered here, because of their generality, it is expected that this technique can be utilized to identify other planar fractals as well.

AB - It has been shown here that the Fourier transform, which can be obtained experimentally, of an evolving fractal can be manipulated to yield the fractal dimension. Although only the Pascal-Sierpinski gaskets have been considered here, because of their generality, it is expected that this technique can be utilized to identify other planar fractals as well.

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On the spatial Fourier transforms of the Pascal-Sierpinski gaskets

Abstract

All Science Journal Classification (ASJC) codes

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