No abstract

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

In this paper, three modes of self-similar time informations on Cantor's fractal axis are constructed. Based upon a theoretical view point of generative production, we have found the recurrence formulae of spectral structure factor and shape factor of them, and plotted four series of spectral curves. By the comparison and progression of spectral curves, it can be seen that the structure factors play the ground role and the shape factors play the modulatory role, and there are competitive phenomena between generations. This investigation provides a basis for further understandng of the characteristics of self-similar informations by a new representation such as frequency domain.

Four styles of fractal informations are constructed on the Cantor sets as time axis. Based upon a view point of generative production, we have found the recurrence formulae of spectral structure factor and of spectral shape factors of them, plotted a series of curves of the structure factor and four series of curves of the spectral functions. From the comparison and progression of these curves, it can be seen that the structure factor plays a ground role, and the shape factor plays a modulatory role, there are a competitive phenomena between generations in frequency domain. This investigation provides a basis for further understanding of the features of fractal informations by a new representation such as frequency domain.or the shape factor of specrta. Starting from the mother generation, and succeeding generations up to the Nth genration, the total spectra of N coexisting generations(NCG) is written as