Failure to make a Mach–Zehnder interferometer?

In summary, the conversation discusses the concept of a "Mach-Zehnder interferometer" which involves splitting and merging a beam of light using mirrors. The goal is to observe a paradox where the light is both canceled out and combined at the merge point. However, the experiment did not produce anything unusual. Possible reasons for this could be the need for precise control of path lengths and relative phase of the beams, which can be achieved through careful alignment and the use of a piezo actuator.
  • #1
Artlav
162
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 canceled 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?
 
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  • #2
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.
 

1. What is a Mach-Zehnder interferometer?

A Mach-Zehnder interferometer is a device used to measure the phase difference between two light beams. It consists of a beam splitter that splits one beam into two, travels through two different paths, and is then recombined at a second beam splitter. The resulting interference pattern can be used to measure changes in the phase of the light beams.

2. What are the benefits of using a Mach-Zehnder interferometer?

Mach-Zehnder interferometers are highly sensitive and can be used to measure small changes in phase, making them useful for a variety of scientific and technological applications. They are also relatively simple and inexpensive compared to other interferometer designs.

3. What are some common reasons for failure in constructing a Mach-Zehnder interferometer?

One common reason for failure is misalignment of the optical components, which can lead to inaccurate measurements. Another issue could be the use of low-quality components, such as beam splitters or mirrors, which can result in poor interference patterns and unreliable data.

4. How can one troubleshoot and fix a failed Mach-Zehnder interferometer?

If misalignment is suspected, carefully adjust the position of the optical components until the interference pattern improves. If using low-quality components, consider replacing them with higher-quality ones. It is also important to ensure that the light source is stable and the two light beams are of equal intensity.

5. What are some potential applications of a Mach-Zehnder interferometer?

Mach-Zehnder interferometers have a wide range of applications, including measuring small changes in refractive index, detecting small displacements, and studying the properties of materials. They are also used in telecommunications, where they are used to modulate and demodulate signals in fiber optic communication systems.

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