File:Zonenplatte Cosinus.png

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• to remix – to adapt the work

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• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

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The 8-bit intensity values ${\displaystyle I}$ of this image were computed by the following formula:

${\displaystyle I(r)=COS({\frac {r^{2}}{5120}})\cdot 127+128}$

where ${\displaystyle r}$ is the distance to the image center in pixels.

The image has been computed with IDL (Interactive Data Language from www.rsinc.com ). The source code is provided here. Copy it into a file named "Zoneplatecosinus.pro" and execute it with IDL.

 PRO ZONEPLATECOSINUS
   ; Pixel size of the image
   siz=1000
 
   ; Coordinate array
   xc = LINDGEN(siz,siz)
   yc = xc / siz
   xc = TEMPORARY(xc) MOD siz
 
   ; Distances to center of array
   d = SQRT((FLOAT(xc)-siz/2.)^2+(FLOAT(yc)-siz/2.)^2)
   ; The image of the zone-plate
   zone = COS(d^2/5120)
 
   WINDOW,XSIZE=siz,YSIZE=siz
   ; Display it
   TVSCL,zone
 
   ; Save as PNG
   write_png,'zonenplatte2.png',BYTSCL(zone)
 END