Incommensurate Numbers, Continued Fractions, and Fractal Immittances

A. Lakhtakia, R. Messier, V. V. Varadan, V. K. Varadan

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Continued fractions have a rich tradition in the theory of numbers; e.g., non-terminating con-tinued fractions represent irrational numbers. It will be shown that a class of continued fractions possess the property of self-referential decomposition, and their interpretation in the form of non-terminating ladder circuits gives rise to fractal immittances with potential analogies to rough surfaces, thin cermet films, as well as to the internal void network structure of thick films.

Original languageEnglish (US)
Pages (from-to)943-955
Number of pages13
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume43
Issue number11
DOIs
StatePublished - Nov 1 1988

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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