Incommensurate Numbers, Continued Fractions, and Fractal Immittances

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

doi:10.1515/zna-1988-1106

Incommensurate Numbers, Continued Fractions, and Fractal Immittances

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

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	943-955
Number of pages	13
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	43
Issue number	11
DOIs	https://doi.org/10.1515/zna-1988-1106
State	Published - Nov 1 1988

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1515/zna-1988-1106

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Incommensurate Numbers, Continued Fractions, and Fractal Immittances

Abstract

All Science Journal Classification (ASJC) codes

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