The role of Fourier theory and of modulation in the prediction of visible moiré effects

Modern moiré theory is largely based on the Fourier approach. And yet, it seems that the Fourier theory by itself cannot answer all questions related to moiré effects. We present some visible phenomena in the superposition of periodic structures (such as line gratings) that are not captured by the F...

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Bibliographic Details
Published inJournal of modern optics Vol. 56; no. 9; pp. 1103 - 1118
Main Authors Amidror, Isaac, Hersch, Roger D.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 20.05.2009
Taylor & Francis
Taylor & Francis Ltd
Subjects
Effects
Exact sciences and technology
Fourier analysis
Fourier optics
Fourier theory
Frequencies
Fundamental areas of phenomenology (including applications)
Imaging and optical processing
modulation
moiré
Optics
Physics
Speckle and moire patterns
spectrum
Moire fringes
Fourier optics
Periodic structures
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Summary:Modern moiré theory is largely based on the Fourier approach. And yet, it seems that the Fourier theory by itself cannot answer all questions related to moiré effects. We present some visible phenomena in the superposition of periodic structures (such as line gratings) that are not captured by the Fourier approach. We discuss their significance, and provide possible explanations. In particular, we introduce the infinite module spanned by the frequencies of the original individual layers as a main tool in the moiré theory. We discuss its significance on the visible periodicities in the layer superposition-either real moiré effects, or pseudo-moiré (modulation) effects having no corresponding impulses in the Fourier spectral domain.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340902994140