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File:Zonenplatte Cosinus.png
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Summary

DescriptionZonenplatte Cosinus.png
Deutsch: Frenelsche Zonenplatte mit Sinusförmiger Transparenzfunktion. Programmcode zur Berechnung siehe unten.
English: Frenel's zone plate with sinusoidal transparency. For calculation code see below.
Date
Source Home brewed picture
Author Georg Wiora (Dr. Schorsch)
Permission
(Reusing this file)
CC-BY-SA 2.5, "2."0, "1."0 and "GFDL by," the——Author

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic 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,/build upon the material, you must distribute your contributions under the same or compatible license as the original.
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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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
w:en:Creative Commons
attribution share alike
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
You may select the license of your choice.

How To

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

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

where r {\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

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19 August 2005

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Date/TimeThumbnailDimensionsUserComment
current05:29, 17 May 2008Thumbnail for version as of 05:29, 17 May 20081,000 × 1,000 (260 KB)Falcorianpngout compression.
14:11, 19 August 2005Thumbnail for version as of 14:11, 19 August 20051,000 × 1,000 (296 KB)Xorx{{Information| |Description = Frenel's zone plate with sinusoidal transparency. |Source = Home brewed picture |Date = created 19. Aug. 2005 |Author = Georg Wiora ~~~ |Permission = Put under the GFDL by the Author. |other_versions = - }} {{GFDL-self}}

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