Optical Properties of One-Dimensional Inflation Lattice. I. Fractal Structure of Optical Spectrum

Hiroshi Miyazaki, Takeshi Watanabe, Masahiro Inoue

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Optical properties are studied of an inflation lattice generated by the inflation rule α→{α1α2. αn} and β→{β1β2. βm}· A matrix recurrence equation is derived for the optical structure factors which is useful in the numerical calculation. Based on the multi-product representation, an analysis is presented of the fractal structure of the spectrum. The assumption of successive enhancement yields an analytic expression of the peak frequencies. The new labeling scheme of the peak frequencies enables us to describe the fractal structure of the spectrum in terms of the self-similarity factor a.

Original languageEnglish
Pages (from-to)1069-1083
Number of pages15
Journaljournal of the physical society of japan
Volume61
Issue number3
DOIs
Publication statusPublished - 1992 Jan 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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