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Title: Analysis of Kerr effect in resonator fiber optic gyros with triangular wave phase modulation
Authors: Ying, D
Demokan, S
Zhang, X
Jin, W 
Issue Date: 20-Jan-2010
Source: Applied optics, 20 Jan. 2010, v. 49, no. 3, p. 529-535
Abstract: We present an in-depth analysis of the Kerr effect in resonator fiber optic gyros (R-FOGs) based on triangular wave phase modulation. Formulations that relate gyro output to the rotation rate, the Kerr nonlinearity, and other fiber and gyro parameters are derived and used to study the effect of Kerr non-linearity on the gyro performance. Numerical investigation shows that the Kerr effect results in a nonzero gyro output even when the gyro is at stationary, which is interpreted as an error in the measurement of rotation rate. This error was found to increase as the frequencies of the two triangular phase modulations deviate from each other, and is not zero even ifthe intensities ofthe two counterpropagating beams are exactly the same. For fixed frequencies of the triangular phase modulations, there exists an optimal intensity splitting ratio for the two counterpropagating beams, which leads to zero gyro error. Calculation shows that the measurement error due to the Kerr effect for an R-FOG with a hollow-core photonic bandgap fiber as the fiber loop can be one to two orders of magnitude smaller than an R-FOG with a conventional single mode fiber loop.
Keywords: Fiber lasers
Fiber optic components
Fibers
Fog
Gyroscopes
Kerr magnetooptical effect
Magnetic field effects
Optical Kerr effect
Optical materials
Phase modulation
Resonators
Rotation
Single mode fibers
Publisher: Optical Society of America
Journal: Applied optics 
ISSN: 1559-128X
EISSN: 2155-3165
DOI: 10.1364/AO.49.000529
Rights: © 2010 Optical Society of America. This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-3-529. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
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