File:Two Slit Interference, 800nm wl, 0.1mm d, close up average.png

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Density plot of two slit inteference of 800nm light thtrough slits 0.1mm apart. The equation is: where

  • d is the slit separations
  • k is the wavenumber = 2π/λ
  • x is the distance from the origin on the line containing the slits
  • y is the distance from the plane contining the slits
This is a plot of the average absolute value of the wave over one full cycle, taken by sampling the wave at 40 times.
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This diagram was created with Mathematica.
Author Inductiveload
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Mathematica Code

[edit]
Please be aware that at the time of uploading (19:08, 17 June 2007 (UTC)), this code may take a significant amount of time to execute on a consumer-level computer. 
u[x_, y_, z_, t_] := Sin[k Sqrt[y^2 + (x + d/2)^2 + z^2] + ω t] +
      Sin[k Sqrt[y^2 + (x - d/2)^2 + z^2] + ω t];

farav = DensityPlot[
    x = xmm/1000;
    y = ymm/1000;
    Sum[
        Abs[u[x, y, 0, n]],
        {n, 0, τ, τ/40}]/40,
    {xmm, -0.075, 0.075},
    {ymm, 0, 0.075},
    PlotPoints -> 1000,
    AspectRatio -> 0.5,
    ImageSize -> 1000,
    Mesh -> False,
    FrameLabel -> {"y/mm", "z/mm"}]

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Date/TimeThumbnailDimensionsUserComment
current21:27, 17 June 2007Thumbnail for version as of 21:27, 17 June 20071,000 × 500 (545 KB)Inductiveload (talk | contribs){{Information |Description=Density plot of two slit inteference of 800nm light thtrough slits 0.1mm apart. The equation is: <math>u(x,y,t)= \sin \left( k \sqrt{ \left( x-\frac{d}{2} \right)^2 + y^2} \right)+ \sin \left( k \sqrt{ \left( x+\frac{d}{2} \righ

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