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Selected figures from the moiré book

Each of the following figures from the book is provided in two different file formats: as a PostScript file, and as a PDF file. Both formats should give precisely the same printed results. Click on the highlighted "PS" or "PDF" indicator next to each of the items below to download the corresponding PostScript or PDF file. Further information on printing PostScript files is given here; further information on printing PDF files is given here.

For some of the figures the superposed layers are provided in separate files that can be individually printed on transparencies. By superposing them manually you will obtain a vivid illustration of the moiré dynamics in the superposition. For best visual results, lay the superposed transparencies on a light table, or hold them against a distant white background (for example, you may hold the superposed transparencies about 20 cm above a white sheet of paper). Alternatively, you may print one of the layers on a white paper and superpose on top of it the other layer, printed on a transparency. (Note that even the slightest undulations in the superposed transparencies may cause significant deformations in the resulting moiré shapes. These deformations can be largely reduced by printing the superposed layers on the same sheet of paper, but in this case the dynamic effect is obviously lost.)

These moiré figures accompany Vol. I of the book The Theory of the Moiré Phenomenon by I. Amidror, published by Springer, 2009 as well as its original edition published by Kluwer Academic Publishers, 2000. All the references below are made to these books.



Contents of this page:



A didactic downloadable moiré demonstration kit

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Figures from Chapter 2:


Superposition of two line gratings:


Superposition of three line gratings:


Superposition of two line grids (= 4 gratings):


Superposition of two dot-screens:


Superposition of two skew-periodic dot-screens:



Figures from Chapter 3:


Superposition of 3 identical dot-screens with equal angle differences:


Various two-screen superpositions:



Figures from Chapter 4:


Superpositions of two identical dot-screens with various angle differences:



Figures from Chapter 5:


The singular 3-grating superposition of Example 5.5 and its spectrum support:


The singular 3-grating superposition of Example 5.6 and its spectrum support:


The singular 3-grating superposition of Example 5.7 and its spectrum support:


The singular 3-grating superposition of Example 5.8 and its spectrum support:


The singular 3-grating superposition of Example 5.9 and its spectrum support:


The singular 2-screen superposition of Example 5.10 and its spectrum support:


The singular 5-grating superposition of Example 5.11 and its spectrum support:


The singular 3-screen superposition of Example 5.12 and its spectrum support:


The singular 3-screen superposition of Example 5.13 and its spectrum support:



Figures from Chapter 7:


Phase shifts in the superposition of two line gratings:


Phase shifts in the superposition of three line gratings:


Phase shifts in the superposition of two line grids:


Phase shifts in a latent image between two superposed line gratings:



Figures from Chapter 8:


Magnified microstructures in the superposition of 3 periodic layers:


Magnified microstructures in an almost-periodic superposition of 3 grids:


Various superpositions of two or three dot-screens:


A magnified view of the same screen superpositions:


Superposition of 4 identical dot-screens with eaual angle differences of 22.5 degrees:



Figures from Chapter 10:


Superposition of a parabolic grating and a straight grating:


Superposition of two perpendicular parabolic gratings:


Superposition of a straight grating and a circular grating:


Superposition of two bell-shaped gratings:


Superposition of two argsinh-shaped grating:


Superposition of two curved dot-screens:



Figures from Chapter 11:


Superposition of a bell-shaped grating and a straight gratings:


Magnification effect of the moiré:


Superposition of two circular gratings:



Figures from the appendices:


Auto moiré:

Note that the result is printer dependent; on some printers this auto moiré may not be visible at all.


Figures from the colour plates:


Superpositions of colour line gratings:

Both layers should be printed on a colour printer with resolution of 600 dpi.


A latent image in the superposition of colour line gratings:



The cover figures:


Front cover figure:

A heart-shaped moiré which is generated by an off-centered superposition of two circular gratings with slightly different radial periods. The lovely curves generated by this moiré are called Cartesian ovals. For more details see Problem 11-8 and Figure 11.4(c) in the book.


Back cover figures:

Interesting moirés in the superposition of two bell-shaped curvilinear gratings. For more details see Figure 10.34 in the book.
Note that two layers of this figure are required for generating the moiré.



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Last modified: 2008/10/21