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%!PS-Adobe-3.0
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% Figure 6.2(a)-(d) from the book: "The Theory of the Moire Phenomenon, Vol. II"
% by I. Amidror, published by Springer, 2007.
%
% * * * Copyright (c) 2007 EPFL * * *
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% Author: I. Amidror
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% Modified: March 21, 2007
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% ********************************************************************************
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% Superpositions of two line gratings
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% ********************************************************************************
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/inch {72 mul} def
/centiinch {0.72 mul} def
1.2 centiinch setlinewidth
/dim 250 def % dimensions of the grating in centiinches
/dim2 125 def % dim/2
/myrand {rand 2147483647 div 2 mul 1 sub} def % random number between -1...1
0 inch 0 inch translate
% ************************************** Fig. (a):
/theta1 3 def
/theta2 0 def
/rot 0 def % general rotation to prevent printer artifacts
/p1 3 def % period for K1 grating
/p2 3 def % period for M1 grating
/p1y 3 def % period for K2 grating
/p2y 3 def % period for M2 grating
/xshift1 0 p1 mul def % x phase shift for first grid (e.g. 0.5)
/yshift1 0 p1y mul def % y phase shift for first grid (e.g. 0.5)
/xshift2 0 p2 mul def % x phase shift for second grid
/yshift2 0 p2y mul def % y phase shift for second grid
/rr 1 def % random numbers will be generated in the range -rr...rr
% (in PostScript points!)
gsave
% draw first grating:
7 srand % seed for rand
0.9 centiinch setlinewidth
gsave
2.5 inch 9.4 inch yshift1 centiinch add translate
1.08 1.03 scale
theta1 rot add rotate
newpath
0 p1 250 % draw vertical lines
{centiinch 125 p1 div round p1 mul xshift1 sub centiinch sub myrand rr mul sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
% draw second grating:
7 srand % seed for rand
0.9 centiinch setlinewidth
gsave
2.5 inch 9.4 inch yshift2 centiinch add translate
theta2 rot add rotate
newpath
0 p2 250 % draw vertical lines
{centiinch 125 p2 div round p2 mul xshift2 sub centiinch sub myrand rr mul sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
gsave
/Times-Roman findfont
12 scalefont setfont
2.5 inch 9.4 inch translate
-0.07 inch -1.6 inch moveto
((a)) show
grestore
grestore
% ****************************************** Fig. (b):
/p1 3 def % period for K1 grating
/p2 3 def % period for M1 grating
/p1y 3 def % period for K2 grating
/p2y 3 def % period for M2 grating
/xshift1 0 p1 mul def % x phase shift for first grid (e.g. 0.5)
/yshift1 0 p1y mul def % y phase shift for first grid (e.g. 0.5)
/xshift2 0 p2 mul def % x phase shift for second grid
/yshift2 0 p2y mul def % y phase shift for second grid
gsave
% draw first grating:
0.9 centiinch setlinewidth
gsave
5.7 inch 9.4 inch yshift1 centiinch add translate
1.08 1.03 scale
theta1 rot add rotate
newpath
0 p1 250 % draw vertical lines
{centiinch 125 p1 div round p1 mul xshift1 sub centiinch sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
% draw second grating:
0.9 centiinch setlinewidth
gsave
5.7 inch 9.4 inch yshift2 centiinch add translate
theta2 rot add rotate
newpath
0 p2 250 % draw vertical lines
{centiinch 125 p2 div round p2 mul xshift2 sub centiinch sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
gsave
/Times-Roman findfont
12 scalefont setfont
5.7 inch 9.4 inch translate
-0.07 inch -1.6 inch moveto
((b)) show
grestore
grestore
% ************************************** Fig. (c):
/theta1 0 def
/theta2 5 def
/rot 0 def % general rotation to prevent printer artifacts
/p1 3 def % period for K1 grating
/p2 3 def % period for M1 grating
/p1y 3 def % period for K2 grating
/p2y 3 def % period for M2 grating
/xshift1 1 p1 mul def % x phase shift for first grid (e.g. 0.5)
/yshift1 0 p1y mul def % y phase shift for first grid (e.g. 0.5)
/xshift2 0 p2 mul def % x phase shift for second grid
/yshift2 0 p2y mul def % y phase shift for second grid
/rr 1 def % random numbers will be generated in the range -rr...rr
% (in PostScript points!)
gsave
% draw first grating:
7 srand % seed for rand
0.9 centiinch setlinewidth
gsave
2.5 inch 6.0 inch yshift1 centiinch add translate
theta1 rot add rotate
newpath
0 p1 250 % draw vertical lines
{centiinch 125 p1 div round p1 mul xshift1 sub centiinch sub myrand rr mul sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
% draw second grating:
7 srand % seed for rand
0.9 centiinch setlinewidth
gsave
2.5 inch 6.0 inch yshift2 centiinch add translate
theta2 rot add rotate
newpath
0 p2 250 % draw vertical lines
{centiinch 125 p2 div round p2 mul xshift2 sub centiinch sub myrand rr mul sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
gsave
/Times-Roman findfont
12 scalefont setfont
2.5 inch 6.0 inch translate
-0.07 inch -1.6 inch moveto
((c)) show
grestore
grestore
% ****************************************** Fig. (d):
/p1 3 def % period for K1 grating
/p2 3 def % period for M1 grating
/p1y 3 def % period for K2 grating
/p2y 3 def % period for M2 grating
/xshift1 1 p1 mul def % x phase shift for first grid (e.g. 0.5)
/yshift1 0 p1y mul def % y phase shift for first grid (e.g. 0.5)
/xshift2 0 p2 mul def % x phase shift for second grid
/yshift2 0 p2y mul def % y phase shift for second grid
gsave
% draw first grating:
0.9 centiinch setlinewidth
gsave
5.7 inch 6.0 inch yshift1 centiinch add translate
theta1 rot add rotate
newpath
0 p1 250 % draw vertical lines
{centiinch 125 p1 div round p1 mul xshift1 sub centiinch sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
% draw second grating:
0.9 centiinch setlinewidth
gsave
5.7 inch 6.0 inch yshift2 centiinch add translate
theta2 rot add rotate
newpath
0 p2 250 % draw vertical lines
{centiinch 125 p2 div round p2 mul xshift2 sub centiinch sub -1.25 inch moveto
0 2.5 inch rlineto} for
stroke
grestore
gsave
/Times-Roman findfont
12 scalefont setfont
5.7 inch 6.0 inch translate
-0.07 inch -1.6 inch moveto
((d)) show
grestore
grestore
gsave
1.75 inch 2.3 inch translate
0 inch 0 inch moveto
/Times-Bold findfont
12 scalefont setfont
(Figure 6.2(a)-(d)) show
/Times-Roman findfont
12 scalefont setfont
( from the book: ) show
/Times-Italic findfont
12 scalefont setfont
(The Theory of the Moire) show
-0.06 inch 0 inch rmoveto
(\302 Phenomenon) show
0.05 inch -0.25 inch moveto
(Vol. II: Aperiodic Layers,) show
/Times-Roman findfont
12 scalefont setfont
( by I. Amidror, published by Springer, 2007.) show
grestore
showpage