Sagnac Interferometer (Fiber Gyro)

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How does one determine which direction a sagnac interferometer is turning in a fiber optic gyro? ("FOG")

I have been reading about them and found some DIY examples where the output is taken using a photo-diode. Now my understanding is that these photo-diodes are simply measuring intensity but isn't the output of the interferometer simply a fringe pattern?

Any additional information, sources, references, imagery, or calculations would be incredibly appreciated.

Thank you!

Reference 1 - Sagnac Interferometer: http://www.conspiracyoflight.com/Sagnac/Sagnac.html
1691526764665.png
Reference 2 - Fringe Pattern Generated (CW + CCW): http://www.conspiracyoflight.com/pd...ed_on_a_Platform_in_Uniform_Motion_(1942).pdf
1691528520317.png
 
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The output is two light beams with a phase difference between them and you want to measure that phase difference. Depending on how you combine the beams you can get different patterns, and which one you prefer depends on what you're doing with it.

If the beams are perfectly collimated and perfectly parallel then the output is just a field whose brightness depends on the phase difference. If you tilt one of the beams very slightly then you add a phase difference that varies across your output field and you get fringes like in the pictures and you will see them move as the interferometer changes rotation rate.

If you are doing a demo for students, or planning on getting a few photos to publish in a journal then the fringes are preferred. They're easier for humans to read and interpret than the "black cat at night/polar bear in a snowstorm" output of the perfectly aligned configuration. On the other hand, a simple dark/light field is perfect for a photodiode to read.

I haven't completely thought this through, but you may also need some additional optics for the perfectly aligned configuration to be practical,since you want zero spun to give you a half wave path difference so that clockwise/anticlockwise corresponds to brighter and darker. Presumably that's paid off by the simpler output interpretation.
 

1. What is a Sagnac Interferometer?

A Sagnac Interferometer, also known as a Fiber Gyro, is a type of interferometer that uses the Sagnac effect to measure rotation. It consists of a fiber optic coil, a light source, and a detector. The Sagnac effect is the phase shift that occurs when light travels in opposite directions through a rotating medium, such as the fiber optic coil.

2. How does a Sagnac Interferometer work?

The Sagnac Interferometer works by splitting a beam of light into two paths, one clockwise and one counterclockwise, through a fiber optic coil. The two paths are then recombined and the interference pattern is measured by a detector. Any rotation of the fiber optic coil will result in a phase shift, which can be detected and measured by the interference pattern. This allows for the measurement of rotation with high precision.

3. What are the advantages of using a Sagnac Interferometer?

One advantage of using a Sagnac Interferometer is its high sensitivity to rotation. It can detect extremely small changes in rotation, making it useful for applications such as navigation and guidance systems. It also has a fast response time, making it suitable for real-time measurements. Additionally, the use of fiber optics allows for a compact and lightweight design.

4. What are the applications of a Sagnac Interferometer?

Sagnac Interferometers have a wide range of applications, including navigation systems for ships, aircraft, and spacecraft. They are also used in gyroscope systems for stabilizing and controlling the orientation of vehicles and cameras. Other applications include measuring the Earth's rotation, detecting seismic activity, and testing the theory of relativity.

5. What are the limitations of a Sagnac Interferometer?

One limitation of a Sagnac Interferometer is its sensitivity to environmental factors, such as temperature and vibration. These can affect the accuracy of the measurements and may require additional compensation techniques. Additionally, the size and complexity of the fiber optic coil can make it expensive to manufacture and maintain. However, advancements in technology have led to the development of more robust and compact Sagnac Interferometers.

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