Mathematical moiré models and their limitations

In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial equations method for modelling the moiré fri...

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Bibliographic Details
Published inJournal of modern optics Vol. 57; no. 1; pp. 23 - 36
Main Authors Amidror, Isaac, Hersch, Roger D.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 10.01.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects
aperiodic layers
Correlation
dot screens
Exact sciences and technology
Fourier transforms
Fundamental areas of phenomenology (including applications)
Imaging and optical processing
line gratings
Mathematical analysis
Mathematical models
Microstructure
Modelling
Moire effects
Moire fringes
moiré
Optics
periodic layers
Physics
Speckle and moire patterns
superposition
Vector space
Theoretical study
Mathematical models
Moire pattern
Periodic structures
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Summary:In a previous recent paper we discussed the limitations of the Fourier-based model in the prediction of visible moiré effects. Here, we extend the discussion to other mathematical models that are also being used in the moiré theory: the classical indicial equations method for modelling the moiré fringes between periodic or curvilinear gratings, and two methods that are used to model different facets of the moiré effects between correlated aperiodic layers. We discuss the limitations of each model, explain their significance, and suggest possible ways to overcome them.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340903494629