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Failure to make a Mach–Zehnder interferometer?

  1. Aug 12, 2013 #1
    Hello.
    I'm trying to make a "Mach–Zehnder interferometer", that would show a same-named paradox.

    In plain words:
    Two half-silvered mirrors, two full mirrors, the beam is split, then merged together.
    At the merge point one way the photon is cancelled out, while the other way it is combined.
    So, we should see only one beam, specifically one parallel to the incoming beam.
    Furthermore, breaking one of the split beams should produce two beams at the output.

    That is, this:
    500px-Mach-Zender_interferometer_paradox_%282%29.svg.png

    However, trying to make this in a naive way produced a total lack of anything unusual.
    Basically, i used a laser diode, two beam splitters and two polished pieces of metal as mirrors.
    After carefully aligning it all, i got two beams coming out of the combining beam splitter.

    What it looks like: http://orbides.1gb.ru/img/interfer.jpg

    The question is: What have i missed or done wrong?
    Is it a matter of precision, or something is fundamentally wrong?
     
  2. jcsd
  3. Aug 12, 2013 #2

    Cthugha

    User Avatar
    Science Advisor

    Several things come to my mind.

    First, the visibility of the interference pattern depends on the path difference between the two paths. The interference will vanish if the path difference times the speed of light becomes comparable to the coherence time of your light source. Therefore one needs to check the path lengths very carefully.

    Second, the interference pattern depends on the relative phase of the two beams at the combining beam splitter (which in turn depends again on the length difference between the two paths). You get all the intensity at detector A at relative phase 0, all the intensity at detector B at relative phase pi and everything in between at every possible phase in between. The phase depends critically on the path length. A path length difference equal to the wavelength of the light already corresponds to a 2 pi phase shift, so to get a well defined interference pattern where all the intensity just goes to one detector, you need to be able to control the path length difference with an accuracy of few nanometers or better. Usually this is achieved by mounting one of the mirrors on a linear piezo actuator which allows precise positioning.
     
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