Fractal moiré interferometry

Zbigniew Motyka

Chaos, Solitons & Fractals, 2021, vol. 153, issue P1

Abstract: Fractal geometry of 2D gratings, based on a regular class of generalized Cantor sets, was proposed to derive moiré fringes with geometry induced by the fractal geometry of these gratings. The general case of a regular fractal grating based on parallel lines was considered. Some simple examples based on parallel straight lines of fractal gratings reduced to the first few steps of fractal grating geometry are briefly discussed. The formation of derivative fractal patterns of interference fringes, which at each fractal step meets the general rules for ordinary moiré patterns, is briefly discussed.

Keywords: Cantor sets; Fractals; Moiré fringes; Moiré interferometry; Gratings; Strains; Displacements (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921007505

DOI: 10.1016/j.chaos.2021.111396

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