Ring laser gyroscope

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A ring laser gyroscope (RLG) consists of a ring laser having two independent counter-propagating resonant modes over the same path; the difference in the frequencies is used to detect rotation. It operates on the principle of the Sagnac effect which shifts the nulls of the internal standing wave pattern in response to angular rotation. Interference between the counter-propagating beams, observed externally, results in motion of the standing wave pattern, and thus indicates rotation.

Description

The first experimental ring laser gyroscope was demonstrated in the US by Macek and Davis in 1963.[1] Various organizations worldwide subsequently developed ring-laser technology further. Many tens of thousands of RLGs are operating in inertial navigation systems and have established high accuracy, with better than 0.01°/hour bias uncertainty, and mean time between failures in excess of 60,000 hours.

File:Ring laser interferometer.png
Schematic representation of a ring laser setup. At the beam sampling location, a fraction of each of the counterpropagating beams exits the laser cavity.

Ring laser gyroscopes can be used as the stable elements (for one degree of freedom each) in an inertial reference system. The advantage of using an RLG is that there are no moving parts (apart from the dither motor assembly, see further description below and laser-lock), compared to the conventional spinning gyroscope. This means there is no friction, which in turn means there will be no inherent drift terms. Additionally, the entire unit is compact, lightweight and highly durable, making it suitable for use in aircraft and also satellites. Unlike a mechanical gyroscope, the device does not resist changes to its orientation.

Contemporary applications of the Ring Laser Gyroscope (RLG) include an embedded GPS capability to further enhance accuracy of RLG Inertial Navigation Systems (INS)s on military aircraft, commercial airliners, ships and spacecraft. These hybrid INS/GPS units have replaced their mechanical counterparts in most applications. Where ultra accuracy is needed however, spin gyro based INSs are still in use today.[2]

Principle of operation

A certain rate of rotation induces a small difference between the time it takes light to traverse the ring in the two directions according to the Sagnac effect. This introduces a tiny separation between the frequencies of the counter-propagating beams, a motion of the standing wave pattern within the ring, and thus a beat pattern when those two beams are interfered outside the ring. Therefore, the net shift of that interference pattern follows the rotation of the unit in the plane of the ring.

RLGs, while more accurate than mechanical gyroscopes, suffer from an effect known as "lock-in" at very slow rotation rates. When the ring laser is hardly rotating, the frequencies of the counter-propagating laser modes become almost identical. In this case, crosstalk between the counter-propagating beams can allow for injection locking so that the standing wave "gets stuck" in a preferred phase, thus locking the frequency of each beam to each other rather than responding to gradual rotation.

Forced dithering can largely overcome this problem. The ring laser cavity is rotated clockwise and anti-clockwise about its axis using a mechanical spring driven at its resonance frequency. This ensures that the angular velocity of the system is usually far from the lock-in threshold. Typical rates are 400 Hz, with a peak dither velocity of 1 arc-second per second[dubious ]. Dither does not fix the lock-in problem completely, as each time the direction of rotation is reversed, a short time interval exists in which the rotation rate is near zero and lock-in can briefly occur. If a pure frequency oscillation is maintained, these small lock-in intervals can accumulate. This was remedied by introducing noise to the 400 Hz vibration.[3]

Fibre optic gyroscope

A related device is the fibre optic gyroscope which also operates on the basis of the Sagnac effect, but in which the ring is not a part of the laser. Rather, an external laser injects counter-propagating beams into an optical fiber ring, where rotation causes a relative phase shift between those beams when interfered after their pass through the fiber ring. The phase shift is proportional to the rate of rotation. This is less sensitive in a single traverse of the ring than the RLG in which the externally observed phase shift is proportional to the accumulated rotation itself, not its derivative. However the sensitivity of the fiber optic gyro is enhanced several times over the RLG by having a long optical fiber, coiled for compactness, in which the Sagnac effect is multiplied according to the number of turns.

Example applications

See also

References

  1. Warren M. Macek and D. T. M. Davis, Jr. (1963) "Rotation rate sensing with traveling-wave ring lasers," Applied Physics Letters, vol. 2, pages 67–68.
  2. Peter M. Taylor – INS Test Engineer Honeywell, Inc.
  3. Knowing Machines, Donald MacKenzie, The MIT Press, (1991).
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  11. Missile success – Frontline Magazine[permanent dead link]
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