The signal distortion that is due to Fresnel reflection in open-loop f
iber-optic gyroscopes was theoretically analyzed to determine the rela
tionship between the reflection ratio and the scale factor error of th
e gyroscopes. The analysis showed that the in-phase component of each
Fourier harmonic of the gyroscope signal deviates from the true sinuso
idal function, a quadrature-phase component appears, and the pi/2 rota
tion rates of harmonic components disagree. We evaluated the degree of
scale factor degradation by defining the harmonic distortion ratio, w
hich can be used as a measure for the reflectional quality of the gyro
scopic optical system. The theory was verified by the response of an e
xperimental gyroscope. The Fresnel reflection was eliminated by optica
l and electrical means, and the signal distortion of the experimental
gyroscope was suppressed. (C) 1997 Optical Society of America.