Theory of self-similarity in the reflectivity spectrum of a Fibonacci superlattice

H. Miyazaki, M. Inoue

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Self-similar structure is studied in the reflectivity spectrum of a semiconductor superlattice whose sequence follows the Fibonacci rule. Numerical results show that the reflectivity spectrum exhibits the self-similarity and nested structure both of which are associated with the inverse of the golden mean σ=(√5-1)/2. Within the linear approximation for the difference of the dielectric constants of constituent layers, we derive an analytic expression of the reflectivity spectrum which clearly elucidates the origin of the self-similarity and nested structure in the spectrum.

Original languageEnglish
Pages (from-to)241-244
Number of pages4
JournalSolid State Communications
Volume72
Issue number3
DOIs
Publication statusPublished - 1989 Oct

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry

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