A fiber optic gyroscope (FOG) is a critical component used in navigation systems to determine the orientation and angular velocity of an object in motion. It relies on the principle of the Sagnac effect, which is a phenomenon observed when light travels in opposite directions through a rotating loop of optical fiber.
The basic structure of a fiber optic gyroscope consists of a coil of optical fiber wound on a spool. Light from a laser source is split into two beams, which are then guided into the coiled fiber in opposite directions. As the entire assembly rotates, the optical path length for the two beams changes due to the Sagnac effect.
Here's how it works:
Light Splitting: The incoming light from the laser source is split into two beams using a beam splitter. One beam travels clockwise (CW), and the other travels counterclockwise (CCW) through the coiled optical fiber.
Sagnac Effect: When the gyroscope rotates, the coil of optical fiber also rotates along with it. Since the light beams travel in opposite directions, the one moving with the rotation (CW) will experience a slightly longer optical path, while the one moving against the rotation (CCW) will experience a slightly shorter optical path. This is due to the relativistic effect of the Earth's rotation on the speed of light in each direction.
Interference: After the light beams complete their paths through the fiber coil, they are recombined at the beam splitter. As a result of the Sagnac effect, the two beams will have a phase difference, which depends on the rotation rate of the gyroscope.
Detection: The recombined light beams, which now have a phase difference, are detected by a photodetector. The resulting signal is then processed to determine the angular velocity and orientation of the gyroscope.
Navigation Output: The output of the fiber optic gyroscope can be used to calculate the rate of rotation or the absolute orientation of the system in space. By integrating the angular velocity over time, it is also possible to calculate the total change in orientation (angle of rotation).
Fiber optic gyroscopes have several advantages in navigation systems, including high accuracy, reliability, and the absence of moving parts, making them more durable and suitable for various applications like aircraft, spacecraft, submarines, autonomous vehicles, and other platforms that require precise navigation and orientation determination.