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Proceedings Paper

Power spectra of the angular fractals
Author(s): Xihua Zhong; Yafen Zhu; Yueming Zhou
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Paper 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.

Paper Details

Date Published: 24 September 1993
PDF: 12 pages
Proc. SPIE 1711, High-Performance Optical Spectrometry, (24 September 1993); doi: 10.1117/12.155674
Show Author Affiliations
Xihua Zhong, Peking Univ. (China)
Yafen Zhu, Peking Univ. (China)
Yueming Zhou, Peking Univ. (China)


Published in SPIE Proceedings Vol. 1711:
High-Performance Optical Spectrometry
Maksymilian Pluta; Aleksandra Kopystynska; Mariusz Szyjer, Editor(s)

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