An elementary proof of the geometrical dependence of the Sagnac effect

Hurst, Robert B.; Wells, J.‐P. R.; Stedman, Geoffrey

doi:10.1088/1464-4258/9/10/010

Cited by 17 publications

(7 citation statements)

References 17 publications

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“…Sagnac based ring laser gyros, which detect rotation by measuring frequency difference at the output, are limited by laser line-width. Moreover, the sensitivity of the Sagnac effect based gyroscopes is limited by the area [38] of the closed loop. The method described in this work do not depend on the dimensions of the optical path.…”

Section: Resultsmentioning

confidence: 99%

Gyroscope with two-dimensional optomechanical mirror

Davuluri

2017

New J. Phys.

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We propose an application of two-dimensional optomechanical oscillator as a gyroscope by detecting the Coriolis force which is modulated at the natural frequency of the optomechanical oscillator. Dependence of gyroscopeʼs sensitivity on shot noise, back-action noise, thermal noise, and input laser power is studied. At optimal input laser power, the gyroscopeʼs sensitivity can be improved by increasing the mass or by decreasing the temperature and decay rate of the mechanical oscillator. When the mechanical oscillatorʼs thermal occupation number, n th , is zero, sensitivity improves with decrease in frequency of the mechanical oscillator. For  n 1 th , the sensitivity is independent of the mechanical oscillatorʼs frequency.

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Section: Resultsmentioning

confidence: 99%

Gyroscope with two-dimensional optomechanical mirror

Davuluri

2017

New J. Phys.

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“…Matter wave gyroscope has better sensitivity [51][52][53][54] when compared with FOG and ALG because of the short wavelength of matter wave in comparison with optical wave length. All the Sagnac effect based gyroscopes, like RLG, FOG, and matter wave gyroscopes, are dependent on the dimension of the Sagnac loop [55]. Unlike the Sagnac effect based gyroscopes, the atommechanical gyroscope do not depend on the dimensions.…”

Section: Resultsmentioning

confidence: 99%

Quantum limit of hybrid atom-mechanical gyroscope based on electro-magnetically induced transparency

Davuluri,

2017

Preprint

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Application of hybrid atom-mechanical oscillator for absolute rotation detection is studied. The hybrid atom-mechanical oscillator consists of an atomic cell, filled with three level atoms, which is fixed on a mechanical oscillator. The atom-mechanical oscillator is placed on a rotating table such that the Coriolis force moves the atomic cell with respect to the incoming laser field. Thus the atomic resonance frequencies are Doppler shifted, and the phase of the laser field interacting with the atomic medium changes. Absolute rotation parameters are estimated by measuring the phase change in the laser field at the output of the atomic cell. Large dispersion is created in the atomic medium, using electromagnetically induced transparency, to enhance the phase change in the laser field interacting with the atomic medium. Contribution of the shot noise, the atomic noise and the noise due to the mechanical oscillation of the atomic cell are studied. We show that, under certain conditions, noise due to the mechanical oscillation of the atomic cell is on the same order of magnitude as the shot noise. The quantum limit of detectable rotation rate is estimated as 8.1 × 10 −19 rad/s.

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“…Rotation of the frame of reference induces a phase difference between the counter-rotating lights. The incurred phase difference ( ϕ Sagnac ) is proportional to the inner product of the area ( ⃗ A) of the loop and the angular velocity ( ⃗ Ω) that the frame of reference experiences, as expressed by the following equation [3].…”

Section: Introductionmentioning

confidence: 99%

Analysis of optical gyroscopes with vertically stacked ring resonators

Hah¹

2021

Turkish Journal of Electrical Engineering and Computer Sciences

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Without any moving part, optical gyroscopes exhibit superior reliability and accuracy in comparison to mechanical sensors. Microring-resonator-based optical gyroscopes emerged as alternatives for bulky conventional Sagnac interferometer sensors, especially attractive for applications with limited footprints. Previously, it has been reported that planar incorporation of multiple resonators does not bring about improvement in sensitivity for a given area because the increase in Sagnac phase accumulation does not outrun the increase of area. Therefore, it was naturally suggested to consider vertical stacking of ring resonators because then, the resonators can share the same footprint. In this work, sensitivity performances of such configurations with vertically stacked microring resonators are analyzed and compared to that of a basic (single-resonator) configuration. Through comprehensive study, it is learned that the sensitivity performance of the devices with vertically-stacked resonators (either with a single bus waveguide or with two bus waveguides) does not exceed that of the basic sensor device (single resonator with one bus waveguide), i.e. the basic structure is yet to be remained as the most efficient configuration.

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An elementary proof of the geometrical dependence of the Sagnac effect

Cited by 17 publications

References 17 publications

Gyroscope with two-dimensional optomechanical mirror

Gyroscope with two-dimensional optomechanical mirror

Quantum limit of hybrid atom-mechanical gyroscope based on electro-magnetically induced transparency

Analysis of optical gyroscopes with vertically stacked ring resonators

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