Abstract: Hollow core fiber RFOG having symmetric M-(or W-)shape, three-(or two-)mirror configurations. These symmetric configurations help to cancel out polarization error induced bias of the RFOG even when light of the unwanted ESOP is present. The RFOG resonator with optical components forming substantially small cross-coupling angles between their polarization axes, and/or with polarizing elements inserted into the resonator, and/or with resonator mirrors having identical reflectivity for light of different polarization states, can effectively reduce the polarization mode induced bias error.

Abstract: A system for determining a level of angle random walk (ARW) associated with a fiber optic gyroscope (FOG) includes first and second photodiodes. The first photodiode is configured to receive a first light signal from a light source associated with the FOG. The second photodiode is configured to receive a second light signal from a fiber optic coil associated with the FOG. First and second analog-to-digital converters (ADCs) are operable to respectively convert the first and second light signals into corresponding respective first and second digital signals. A digital relative-intensity-noise (RIN) subtraction element is configured to receive the first and second digital signals and output a third signal based on the first and second digital signals. An electronic device is configured to determine a first noise level associated with the third signal, and determine the ARW level from the first noise level.

Abstract: A system for determining a level of angle random walk (ARW) associated with a fiber optic gyroscope (FOG) includes first and second photodiodes. The first photodiode is configured to receive a first light signal from a light source associated with the FOG. The second photodiode is configured to receive a second light signal from a fiber optic coil associated with the FOG. First and second analog-to-digital converters (ADCs) are operable to respectively convert the first and second light signals into corresponding respective first and second digital signals. A digital relative-intensity-noise (RIN) subtraction element is configured to receive the first and second digital signals and output a third signal based on the first and second digital signals. An electronic device is configured to determine a first noise level associated with the third signal, and determine the ARW level from the first noise level.

Abstract: Methods and apparatus are provided for a low cost optical gyro using thin film waveguides to direct light beams among the components of the gyro. The gyro includes a substrate having an insulator layer, a silicon waveguide formed on the insulator layer, and a resonator coupled to the silicon waveguide and configured to circulate a portion of a first light beam in a first counter-propagating direction and circulate a portion of a second light beam in a second counter-propagating direction. The first silicon waveguide propagates the first and second light beams therethrough. Each of the first and second light beams has a resonance frequency when circulating in the resonator.

Abstract: Methods and apparatus are provided for determining the rotational rate of an optical gyro. An optical gyro comprises at least one substrate, a multi-frequency light source (MFLS) mounted on the substrate, and a resonator coupled to the MFLS. The MFLS is configured to produce a first light beam having a first frequency and a second light beam having a second frequency and phase locked with the first light beam. The resonator comprises an optical fiber coil having a hollow core. The resonator is configured to circulate a portion of each of the first and second light beams through the hollow core. The portion of the first light beam propagates in a first counter-propagating direction, and the portion of the second light beam propagates in a second counter-propagating direction. A measured difference between the first and second frequencies indicates a frequency shift proportional to the rotation rate of the optical gyro.

Abstract: Methods and apparatus are provided for stabilizing laser light sources of a resonator gyro. A resonator gyro comprises a first light source configured to produce a first input light, a second light source configured to produce a second input light, a resonator coupled to the first and second light sources, a resonance detection circuit coupled to the resonator, and a controller coupled to the resonance detection circuit and the first and second light sources. The resonance detection circuit detects a resonance frequency for each of the counter-propagating directions of the resonator. The controller tunes the first input light to a clockwise resonance frequency, and tunes the second input light to a counter-clockwise resonance frequency. A difference between the resonance frequencies is proportional to a rotational rate of the resonator gyro.

Abstract: Methods and apparatus are provided for a low cost optical gyro with a free space closed optical path. A ring resonator comprises a substrate and reflectors formed or placed on the substrate. The reflectors comprise a closed optical path and are configured to direct each of first and second light beams in a different counter-propagating direction in the closed optical path. Each of the first and second light beams frequencies are tuned to the resonance frequency of the resonator in the direction of propagation for which the light beam is circulating in the closed optical path.

Abstract: Methods and apparatus are provided for sensing a rotation rate of a ring resonator in a transmission mode. A ring resonator for circulating light beams in counter-propagating directions comprises an optical fiber coil having a hollow core and first and second ends, a first optical element configured to receive an input light beam and direct a portion of the input light beam in a counter-propagating direction of the ring resonator, and a second optical element configured to direct with the first optical element a majority of a circulating light beam in the counter-propagating direction of the ring resonator and derive a transmission mode component of the circulating light beam at one of the ends. The portion of the input light beam enters one of the first and second ends, and the circulating light beam is based on the input light beam. The transmission mode component indicates a resonance peak of the counter-propagating direction of the ring resonator.

Abstract: Methods and apparatus are provided for attenuating polarization errors in ring resonators of fiber optic gyros. A ring resonator is provided having first and second resonance frequencies and comprising an optical fiber coil having a hollow core and first and second ends, a light beam generator coupled to the optical fiber coil and configured to generate first and second counter-propagating beams in the hollow core, and a light recirculator coupled to the first and second ends of the optical fiber coil and configured to direct a first light beam exiting the first end of the optical fiber coil into the second end of the optical fiber coil. The first light beam is based on one of the first and second counter-propagating beams. The light recirculator comprises a first polarizing unit configured to reflect a first polarized component of the first light beam and further configured to extract a second polarized component of the first light beam.

Abstract: A deadband error reducer for a fiber optic gyroscope, which is an offset modulation signal that averages the deadband producing error over the range of the feedback modulation signal provided to the phase modulator. Although the offset modulation signal may be introduced at any of several points in the feedback loop, the offset modulation must approximate a critical amplitude at the phase modulator. If the offset modulation is a signal having segments that are linear with time, the critical amplitude of this signal will be 2.pi..