Optical Properties of One-Dimensional Quasi-Periodic Crystals. III. Optical Reflectivity Spectrum and Structure Factor of a Generalized Fibonacci Lattice

Hiroshi Miyazaki, Masahiro Inoue

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

Optical properties are studied of a generalized semiconductor Fibonacci superlattice generated by the rule Sn+1=Sp nSq n-1 with a pair of positive integers p and q. The initial generations S1 and S2 are arbitrary. Based on the multi-product representation of the reflectance function or the structure factor an analysis is presented of the fractal structure of the spectrum. An analytic expression is derived for the peak positions with a new labeling scheme. This scheme enables us to generalize the description of the self-similarity and the nested structure of the spectrum. The self-similarity factor σ(p,q) is obtained as a function of p and q which is rational for p=q-1.

Original languageEnglish
Pages (from-to)2563-2577
Number of pages15
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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