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

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Original file(1,000 × 500 pixels, file size: 315 KB, MIME type: image/png)

Description

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.
Date
Source

Own work

 
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

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, -100, 100},
    {ymm, 0, 5000},
    PlotPoints -> 1000,
    AspectRatio -> 0.5,
    ImageSize -> 1000,
    Mesh -> False,
    FrameLabel -> {"y/mm", "z/mm"}]

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13 June 2007

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Date/TimeThumbnailDimensionsUserComment
current19:08, 17 June 2007Thumbnail for version as of 19:08, 17 June 20071,000 × 500 (315 KB)Inductiveload{{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