24 September 1993 Power spectra of the angular fractals
Author Affiliations +
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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Xihua Zhong, Xihua Zhong, Yafen Zhu, Yafen Zhu, Yueming Zhou, Yueming Zhou, } "Power spectra of the angular fractals", Proc. SPIE 1711, High-Performance Optical Spectrometry, (24 September 1993); doi: 10.1117/12.155674; https://doi.org/10.1117/12.155674
PROCEEDINGS
12 PAGES


SHARE
Back to Top