Power spectra of the angular fractals

Xihua Zhong; Yafen Zhu; Yueming Zhou

doi:10.1117/12.155674

24 September 1993 Power spectra of the angular fractals

Xihua Zhong, Yafen Zhu, Yueming Zhou

Proceedings Volume 1711, High-Performance Optical Spectrometry; (1993) https://doi.org/10.1117/12.155674
Event: High Performance Optical Spectrometry, 1992, Warsaw, Poland

Abstract

Based on the angular backbone taken from the triangular Sierpinski gasket, several seLf-similar structures are disigned, corresponding diffraction screens are made, and the Fraunhofer patterns as power spectra of them are given. Based upon a viewpoint of generative production and by means of the ui-branched displacement operation, we have found the recurrence formulae of spectral structure factor for these angular fractals. As a example, the recurrence formulae of power spectra for a coherent point group is given, corresponding a series of curves as well as an isogram are plotted. The analysis of result shows that the power spectra of this fractal point group has a rotation symmetry and a mirror symmetry, and appears a period doubling phenomenon which follows the process of generative production.

Citation Download Citation

Xihua Zhong, Yafen Zhu, and Yueming Zhou "Power spectra of the angular fractals", Proc. SPIE 1711, High-Performance Optical Spectrometry, (24 September 1993); https://doi.org/10.1117/12.155674

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