File:Two Slit Interference, 2500nm wl, 0.1mm d, distant average.png

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Description
English: Density plot of two slit interference of 2500nm light thtrough slits 0.1mm apart. The equation of the wave at a point 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

Thisp lot shows the intensity of the wave at a given point:

  • Where δ is the phase difference
Date
Source Own work
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

lambda = 2500*10^-9;
k = 2*Pi/lambda;
d = 0.1*10^-3;

path1[x_, y_] := Sqrt[y^2 + (x + d/2)^2];
path2[x_, y_] := Sqrt[y^2 + (x - d/2)^2];
phasediff[x_, y_] := (2*Pi/lambda )*(path1[x, y] - path2[x, y])

close = DensityPlot[
      x = xmm/1000;
      y = ymm/1000;
      Evaluate[
        4Cos[phasediff[x, y]/2]^2
        ],
      {xmm, -500, 500},
      {ymm, 0, 10000},
      PlotPoints -> 2000,
      AspectRatio -> 0.5,
      ImageSize -> 1000,
      Mesh -> False,
      FrameLabel -> {"x/mm", "y/mm"}];

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13 May 2009

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057473ee3742d092fc47891be77b59c237f69571

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Date/TimeThumbnailDimensionsUserComment
current06:57, 13 May 2009Thumbnail for version as of 06:57, 13 May 20091,000 × 500 (247 KB)wikimediacommons>Inductiveload{{Information |Description={{en|1=Density plot of two slit interference of 2500nm light thtrough slits 0.1mm apart. The equation of the wave at a point is: <math>u(x,y,t)= \sin \left( k \sqrt{ \left( x-\frac{d}{2} \right)^2 + y^2} \right)+ \sin \left( k \

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