Optical Properties of One-Dimensional Quasi-Periodic Crystals. II. Modified Fibonacci Lattice with Arbitrary Initial Conditions

Masahiro Inoue, Hiroshi Miyazaki

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Optical properties are reported for a class of quasi-periodic superlattices generated by the rule S(n+1)=S(n)pS(n-1). p is a positive integer and the first two generations S(1) and S(2) are chosen arbitrarily. The reflectivity spectrum shows the same fractal structure as that of the Fibonacci lattice reported in the preceding paper. The self-simi-larity factor of the spectrum is found to be [formula omitted] independent of the initial generations. Analytic expressions are given of the structure factor and the reflectivity within the bilinear approximation.

Original languageEnglish
Pages (from-to)2549-2562
Number of pages14
Journaljournal of the physical society of japan
Volume59
Issue number7
DOIs
Publication statusPublished - 1990 Jan 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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