Гибка света на щели

Assignment

  1. Acknowledge yourselves with the experiment „Diffraction of electromagnetic radiation on microobjects“ (in our case, the microobject is a slit) found on the following link.
  2. Make detailed measurements of the diffraction pattern intensity distribution , distance a = (2152 ± 1) mm from the slit. Make measurements for both sources of light (red laser of the wavelength λ1 = (632 ± 10) nm and a green one with the wavelength λ2 = (532 ± 10) nm) and for both sizes of slits.
  3. Determine the magnitudes of both slits d . It is possible to use either positions of minima (equation (3)) or maxima (equation (4)). For determining of the corresponding angles of minima (maxima), it is necessary to measure the locations of maxima (minima) ymax,min ,taken by the photodiode as accurately as possible and then calculate the corresponding angles of minima (maxima) according to the following relation
    equation 1
    For more accurate determination of magnitudes of the slits it is possible to use an optimalisation programme fitting the model dependence (1) by the measured points (for example using the software SigmaPlot, Origin, eventually program GNUPLOT - http://www.gnuplot.info).
  4. Evaluate the errors of magnitudes of the slits.

Error analysis

Determine an error of the width of the slit, d, for example from a location of the first minimum value, for which from equation (3) is

equation 2
as well as
equation 3

Assuming that for small angles we are working with it is ( angles in arc units! )

equation 4
it is possible to write the following expression for the slit width
equation 5
and then for its error
equation 6

Discuss, which of the quantities has the largest impact on a value of the error of the microobject.