Abstract

In this work, by using a local reciprocal vector concept, we introduce a considerable number of quasi-periodic structures where each of them is constructed by a set of curved lines with varying period. By using a simple and very comprehensive recently proposed method, formulations and characterizations of the various moiré patterns of different pairs of curved line quasi-periodic structures are presented. Some advantages of the concept of local reciprocal vector in the area of curved line quasi-periodic structures are clarified.

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