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Phase-stepping Interferometry & MATLAB

  1. Apr 10, 2007 #1
    1. The problem statement, all variables and given/known data
    I am given 4 files containing the intensities of a fringe pattern with phase-steps of [tex] \pi/2 [/tex].
    I need to do a mesh plot (on MATLAB) of the intensities and phase.

    2. Relevant equations

    [tex] I=A+Bcos(\phi) [/tex]

    3. The attempt at a solution

    I came up with the following equations:
    [tex] I_1=A+Bcos(\phi) [/tex]
    [tex] I_2=A+Bcos(\phi+\pi/2) [/tex]
    [tex] I_3=A+Bcos(\phi+\pi) [/tex]
    [tex] I_4=A+Bcos(\phi+3\pi/2) [/tex]

    After the math I get either:
    [tex] I_4-I_3+I_2-I_1 = 0 [/tex]
    or
    [tex] 0.5(I_4-I_3-I_2+I_1) = B(sin\phi + cos\phi) [/tex]

    Obviously the first is not usable because I can't create a plot and the second contains 'B' in it - which doesn't help since I don't know what B is.
    Any suggestions at all?
     
  2. jcsd
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