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%!PS-Adobe-3.0
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% Figure 8.2 from the book: "The Theory of the Moire Phenomenon"
% by I. Amidror, published by Kluwer Academic Publishers, 1999.
%
% * * * Copyright (c) 1999 EPFL * * *
%
% Author: I. Amidror
%
% Modified: June 9, 1999
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% ********************************************************************************
%
% (a), (b): Superpositions of 3 line grids:
%
% The parameters for each superposition are as follows:
%
% theta1, theta2, theta3 - the grid angles, in degrees.
% p1, p2, p3 - the respective grid periods (main direction), in deciinches.
% p1y, p2y, p3y - the respective grid periods (perpendicular direction), in
% deciinches.
% a1, a2, a3 - the respective internal angles of the 3 grids (normally 90 degrees).
% xshifti, yshifti - the respective period-shifts for the i-th grid, in terms
% of period fractions.
% len - the length of each of the grids, in centiinches.
% wid - the width of each of the grids, in centiinches.
%
% ********************************************************************************
%
/inch {72 mul} def
/centiinch {0.72 mul} def
0.5 centiinch setlinewidth
/len 330 def % grating length in centiinches
/wid 280 def % grating width in centiinches
/len2 len 2 div def
/wid2 wid 2 div def
% *********************************************** Fig. (a):
/theta1 0 def % angle of grid A
/theta2 30 def % angle of grid B
/theta3 60 def % angle of grid C
/a1 90 def % internal angle of grid A
/a2 90 def % internal angle of grid B
/a3 90 def % internal angle of grid C
/rot 0 def % general rotation to prevent printer artifacts
/p1 3 def % period of grid A
/p2 3 def % period of grid B
/p3 3 def % period of grid C
/p1y 3 def % period of grid A (in the perpendicular direction)
/p2y 3 def % period of grid B (in the perpendicular direction)
/p3y 3 def % period of grid C (in the perpendicular direction)
/xshift1 0 p1 mul def % x period-shift of grid A (e.g. 0.5)
/yshift1 0 p1y mul def % y period-shift of grid A (e.g. 0.5)
/xshift2 0 p2 mul def % x period-shift of grid B
/yshift2 0 p2y mul def % y period-shift of grid B
/xshift3 0 p3 mul def % x period-shift of grid C
/yshift3 0 p3y mul def % y period-shift of grid C
/p1 p1 2.5 mul def
/p2 p2 2.5 mul def
/p3 p3 2.5 mul def
/p1y p1y 2.5 mul def
/p2y p2y 2.5 mul def
/p3y p3y 2.5 mul def
/xshift1 xshift1 2.5 mul def
/yshift1 yshift1 2.5 mul def
/xshift2 xshift2 2.5 mul def
/yshift2 yshift2 2.5 mul def
/xshift3 xshift3 2.5 mul def
/yshift3 yshift3 2.5 mul def
0.3 inch 5.7 inch translate
gsave
/Helvetica findfont
12 scalefont setfont
% Draw grid A:
gsave
4 inch 3.5 inch translate
theta1 rot add rotate
newpath
0 p1 len % draw lines
{centiinch len2 p1 div round p1 mul xshift1 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(A) show
grestore
gsave
4 inch 3.5 inch translate
a1 theta1 add rot add rotate
newpath
0 p1y len % draw lines
{centiinch len2 p1y div round p1y mul yshift1 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
% Draw grid B:
gsave
4 inch 3.5 inch translate
theta2 rot add rotate
newpath
0 p2 len % draw lines
{centiinch len2 p2 div round p2 mul xshift2 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(B) show
grestore
gsave
4 inch 3.5 inch translate
a2 theta2 add rot add rotate
newpath
0 p2y len % draw lines
{centiinch len2 p2y div round p2y mul yshift2 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
% Draw grid C:
gsave
4 inch 3.5 inch translate
theta3 rot add rotate
newpath
0 p3 len % draw lines
{centiinch len2 p3 div round p3 mul xshift3 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(C) show
grestore
gsave
4 inch 3.5 inch translate
a3 theta3 add rot add rotate
newpath
0 p3y len % draw lines
{centiinch len2 p3y div round p3y mul yshift3 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
gsave
4 inch 3.5 inch translate
/Times-Roman findfont
12 scalefont setfont
-2.3 inch -2.1 inch moveto
((a)) show
grestore
grestore
% *********************************************** Fig. (b):
/inch {72 mul} def
/centiinch {0.72 mul} def
0.5 centiinch setlinewidth
/theta1 0 def % angle of grid A
/theta2 30 def % angle of grid B
/theta3 60 def % angle of grid C
/a1 90 def % internal angle of grid A
/a2 90 def % internal angle of grid B
/a3 90 def % internal angle of grid C
/rot 0 def % general rotation to prevent printer artifacts
/p1 3 def % period of grid A
/p2 3 def % period of grid B
/p3 3 def % period of grid C
/p1y 3 def % period of grid A (in the perpendicular direction)
/p2y 3 def % period of grid B (in the perpendicular direction)
/p3y 3 def % period of grid C (in the perpendicular direction)
/xshift1 0.5 p1 mul def % x period-shift of grid A (e.g. 0.5)
/yshift1 0.5 p1y mul def % y period-shift of grid A (e.g. 0.5)
/xshift2 0 p2 mul def % x period-shift of grid B
/yshift2 0 p2y mul def % y period-shift of grid B
/xshift3 0 p3 mul def % x period-shift of grid C
/yshift3 0 p3y mul def % y period-shift of grid C
/p1 p1 2.5 mul def
/p2 p2 2.5 mul def
/p3 p3 2.5 mul def
/p1y p1y 2.5 mul def
/p2y p2y 2.5 mul def
/p3y p3y 2.5 mul def
/xshift1 xshift1 2.5 mul def
/yshift1 yshift1 2.5 mul def
/xshift2 xshift2 2.5 mul def
/yshift2 yshift2 2.5 mul def
/xshift3 xshift3 2.5 mul def
/yshift3 yshift3 2.5 mul def
0 -4.5 inch translate
gsave
/Helvetica findfont
12 scalefont setfont
% Draw grid A:
gsave
4 inch 3.5 inch translate
theta1 rot add rotate
newpath
0 p1 len % draw lines
{centiinch len2 p1 div round p1 mul xshift1 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(A) show
grestore
gsave
4 inch 3.5 inch translate
a1 theta1 add rot add rotate
newpath
0 p1y len % draw lines
{centiinch len2 p1y div round p1y mul yshift1 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
% Draw grid B:
gsave
4 inch 3.5 inch translate
theta2 rot add rotate
newpath
0 p2 len % draw lines
{centiinch len2 p2 div round p2 mul xshift2 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(B) show
grestore
gsave
4 inch 3.5 inch translate
a2 theta2 add rot add rotate
newpath
0 p2y len % draw lines
{centiinch len2 p2y div round p2y mul yshift2 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
% Draw grid C:
gsave
4 inch 3.5 inch translate
theta3 rot add rotate
newpath
0 p3 len % draw lines
{centiinch len2 p3 div round p3 mul xshift3 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
-1.60 inch -1.60 inch moveto
(C) show
grestore
gsave
4 inch 3.5 inch translate
a3 theta3 add rot add rotate
newpath
0 p3y len % draw lines
{centiinch len2 p3y div round p3y mul yshift3 sub centiinch sub wid2 centiinch neg moveto
0 centiinch wid centiinch rlineto} for
stroke
grestore
gsave
4 inch 3.5 inch translate
/Times-Roman findfont
12 scalefont setfont
-2.3 inch -2.1 inch moveto
((b)) show
grestore
grestore
gsave
1.75 inch 0.5 inch translate
0 inch 0 inch moveto
/Times-Bold findfont
12 scalefont setfont
(Figure 8.2) 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
/Times-Roman findfont
12 scalefont setfont
0 inch -0.25 inch moveto
( by I. Amidror, published by Kluwer Academic Publishers, 1999.) show
grestore
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