Michelson Interferometer Comes Home Cheap

We suspect there are three kinds of people in the world. People who have access to a Michelson Interferometer and are glad, those who don’t have one and don’t know what one is, and a very small number of people who want one but don’t have one. But since [Longest Path Search] built one using 3D printing, maybe the third group will dwindle down to nothing.

If you are in the second camp, a Michelson interferometer is a device for measuring very small changes in the length of optical paths (oversimplifying, a distance). It does this by splitting a laser into two parts. One part reflects off a mirror at a fixed distance from the splitter. The other reflects off another, often movable, mirror. The beam splitter also recombines the two beams when they reflect back, producing an interference pattern that varies with differences in the path length between the splitter and the mirror. For example, if the air between the splitter and one mirror changes temperature, the change in the refraction index will cause a minute difference in the beam, which will show up using this instrument.

The device has been used to detect gravitational waves, study the sun and the upper atmosphere, and also helped disprove the theory that light is transmitted through a medium known as luminiferous aether.

The tolerances for such a device are tight, but within the capability of modern 3D printers. The CAD files are online. The key was the mirror mounts, which use springs and thumbscrews. So you do need some hardware and, oh yeah, a laser, although that’s not as hard to obtain as it once was. You obviously can’t 3D print the mirrors or the beam splitter either.

The post claims the device is cheap because the bill of materials was roughly $3, although that didn’t include the beamsplitter, which would bring the cost up to maybe $20. The device, in theory, could detect distance changes as small as one wavelength of the laser, which is around 650nm. Not bad for a few bucks.

Not all Michelsons use lasers. The man behind the Michelson instrument also worked out how to do Fourier analysis with a mechanical computer.

15 thoughts on “Michelson Interferometer Comes Home Cheap

  1. You left out several groups, Al:

    People who have access and wish they didn’t.

    People who have access and don’t know it.

    People who have access and don’t care.

    People who have access and think it makes them better than you.

    … we could go on.

    1. IIRC you have to take data while a mirror is moving, which has to be precise. Starting from the null. Usually with a monochromatic light (like laser) used in paralleled as a reference for displacement. So I don’t know if you would strictly call it a Michelson Interferometer. Maybe a Dual MI with a Twist – a DMIT.

  2. These things are not at all difficult to set up. The only aspect you need to worry about is vibration.

    If you mount one mirror on a piezo buzzer element, you can build a feedback mechanism that keeps the interference pattern fixed by adjusting the voltage, and this gives you a voltage measurement for whatever the interferometer is measuring.

    For example, an interferometer makes a sensitive microphone. Mount a corner cube reflector on a window and you can use the window as a microphone and record conversations inside the room.

    Or an earthquake detector. Or a moon phase detector. Or an optical liquid level sensor.

    These things are very good for measuring small changes in things.

    1. Robert Forward when he was at Hughes Research mounted one mirror on a piezo crystal and drove with known displacement oscillation. Using correlation – at that time a lock-in amplifier – he was able to measure extremely fine movements. It was part of his active noise reduction experiments to improve sensitivity of his gravity gradiometer, and he hoped for a long baseline interferometer in space to search for gravity waves. This was at or before 1970. I have his publications and some private correspondence on this somewhere handy.

      I think they use the technique with LIGO.

  3. Cool! ive seen a lot of hacks like these over the years. I think their mounts could be improved a bit, but it’s not worth it given their source material. Love to see dime store optics at work! Maybe I should post some of my stuff. Eh… Nah the world isn’t ready

    1. Cool. So that clearly illustrates that, when you turn a large, fairly complex and relatively flimsy optical assembly upside down in a 1 G gravity field, components can shift by 5 microns!

  4. For some reason I’ve believed that the poor coherence length of cheap diode lasers prevented building practical interferometers. But apparently the coherence length is 10-20 cm even for the cheapies.

  5. Crap;
    I need one of these to do the turbo mod to my Encabulator.
    I should have not started this project it’s more complicated than loading code into a micro I didn’t write.

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