File:Gaussian beam with german description-1.svg
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Original file (SVG file, nominally 1,200 × 600 pixels, file size: 346 KB)
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Summary[edit]
DescriptionGaussian beam with german description-1.svg |
Gaussian beam with German description English: This is a schematical drawing of a Gaussian beam with German description and fundamental dimensions. Usually, laser beams can be described as Gaussian beams.
Deutsch: Die Zeichnung stellt schematisch einen Gaußstrahl dar, angegeben sind grundlegende Abmessungen. Üblicherweise werden Laserstrahlen als Gaußstrahlen behandelt.
Software |
Date | |
Source | Own work |
Author | א (Aleph) |
Licensing[edit]
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.
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If you use this image, you have to credit this: Image by א (Aleph), http://commons.wikimedia.org |
Wenn Sie dieses Bild verwenden, müssen Sie folgendes angeben: Bild von א (Aleph), http://commons.wikimedia.org |
Gnuplot Script[edit]
# ############################################################# # # This file was created by א and may # only be used under the terms of the # Creative-Commons-License CC-BY-SA-2.5 # with apropriate attribution. # # You MUST credit this: א (Aleph), http://commons.wikimedia.org # # ############################################################# # Gnuplot code as follows: reset set terminal svg enhanced size 1200 600 fsize 20 fname "Arial" set output "gaussian_beam_german.svg" set multiplot # set key off # Variables used for gaussian beam w0 = 2.0 z0 = 4.0 # Configure coordinate system # set xzeroaxis linetype rgb "black" # set yzeroaxis linetype rgb "black" unset border unset tics set xtics axis mirror ("- z_0" -z0, "+ z_0" z0) offset 0,0.5 set xrange [-20:20] set yrange [-12:10] set label "z" at 18.5,-0.5 set label "r" at 0.5,8.5 # Arrows along the axes set style arrow 2 filled size 1,10 set arrow arrowstyle 2 from -20,0 to 20,0 set arrow arrowstyle 2 from 0,-10 to 0,10 # Function for gaussian beam w(z) = w0*sqrt(1+(z/z0)**2) # Function for asymptotes a(z) = w0/z0 * z # Arrow for w0 set style arrow 1 heads filled size 0.5,10 front set arrow arrowstyle 1 from 0,0 to 0,w0 set label "w_0" at 0.25,1 # Arrow for w(z) z1 = 12 set arrow arrowstyle 1 from -z1,0 to -z1,w(z1) set label "w(z)" at -z1+0.25,0.5*w(z1) # Lines at the end of b set style arrow 3 nohead lt rgb "grey" set arrow arrowstyle 3 from z0,0 to z0,4 set arrow arrowstyle 3 from -z0,0 to -z0,4 # Arrow for b set arrow arrowstyle 1 from -z0,w(z0)+1 to z0,w(z0)+1 set label "b" at -1,w(z0)+1.5 # Arrow for w(z0) set arrow arrowstyle 1 from -z0,0 to -z0,w(z0) set label "√2·w_0" at -z0-2.5,0.5*w(z0) k=-0.5 #Variable needed for wavefronts R(k) = k*(1+(z0/k)**2) # Radius of wavefronts zM(k) = k - R(k) # Centre of wavefronts # This is where the Wavefronts touch the border of the beam: zQ(k) = zM(k)/(1.0 + (w0/z0)**2) + sqrt((zM(k)/(1.0+(w0/z0)**2))**2 - (w0**2+zM(k)**2-R(k)**2)/(1.0+(w0/z0)**2)) k = k+3 # k is the point at which the Wavefront is drawn. W(z) = z >= zQ(k) ? sqrt(R(k)**2-(z-zM(k))**2) : 1/0 # Wavefront ist plotted for k >= zQ only. set dummy z set key at 14,-11 # Plot wavefronts with many samples set samples 100000 plot W(z) lt rgb "black" title "Wellenfronten", -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle k = k+3 plot W(z) lt rgb "black" notitle, -W(z) lt rgb "black" notitle set samples 1000 # Plot grey lines plot w0 linetype rgb "grey" linewidth 1 notitle, -w0 linetype rgb "grey" linewidth 1 notitle, a(z) linetype rgb "grey" linewidth 1 notitle, -a(z) linetype rgb "grey" linewidth 1 notitle # Plot borders of the beam set key at 14,-10 plot w(z) lt rgb "red" linewidth 3 title "Begrenzung des Gaußstrahls", -w(z) linetype rgb "red" linewidth 3 notitle # Angle Θ set label "Θ" at -1.75,0.4 set polar theta = atan(w0/z0) set trange [-pi-theta:-pi+theta] plot 2 lt rgb "black" notitle # Undo everything reset
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 08:29, 1 April 2008 | 1,200 × 600 (346 KB) | Xavax (talk | contribs) | {{Information |Description='''Gaussian beam with German description''' {{en|This is a schematical drawing of a Gaussian beam with German description and fundamental dimensions. Usually, laser beams can be described as Gaussian beams.}} {{de|Die Zeichnung |
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