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The results of generalization of mathematical models for wide class of one-dimensional modulated antenna arrays, photonic crystals, impedance and dielectric structures in the form of the branched continual fractions, which are built by recurrence formula, are represented in the article. These fractions describe the electrodynamics characteristics of structures as a function of construction's parameters. As an example the estimated directional diagram of periodic modulated impedance structure is shown.

modulated antenna arrays; impedance and dielectric structures; photonic crystal; recurrence formula; branched continual fractions