1988/11/01 by Akhlesh Lakhtakia, A. Lakhtakia, R. Messier +3
Physics and Astronomy · #Theoretical and Computational Physics
paper · pdf · doi:10.1515/zna-1988-1106
openalex publication_date 1988/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.