The appendix reports a short discussion about noise, and practical methods to identify portions of data which have to be discarded. In fact the same device can record microseismic events and high magnitude nearby earthquakes [8], owing to the fact that the signal is based on the measurement of the beat note. 60(6), 615 (1997), D. Titterton, J. Weston, Strapdown Inertial Navigation Technology (The Institution of Engineering and Technology, London, 1996), W.Z. The relative phase \(\epsilon \) is slowly changing, since the cavity is rigid. Opt. Nonreciprocal bias via the Faraday effect, either in a special thin Faraday rotator, or via a longitudinal magnetic field on the gain medium, then further splits each circular polarization by typically a few hundred kHz, thus causing each ring laser to have a static output beat frequency of hundreds of kHz. On each cavity mirror a little fraction of the two traveling waves is backscattered in the opposite direction. We apply this technique to data from two ring laser prototypes, and compare the precision of the measurement of the angular rotation rate obtained with the new and the standard methods. Ser. In the past we have addressed this problem utilizing Kalman filters, with whom we have obtained good results, but which were rather time consuming. Note, VIR-019A-07 (2005), J.Belfi, N. Beverini, et al. In the following \(\theta \) will be neglected, owing to the mono-mode operation. An online compensation algorithm for improving the performance of gas ring laser gyroscopes. Systematics induced by the non linear dynamics of the laser, mainly due to back scatter light, induces non linear terms in the output of high sensitivity RLGs, severely limiting the development of RLGs with sensitivity of the order of nrad/s level, which in principle should have a large range of applications. Sign up to receive exclusive communications about offerings, events, news, surveys, special offers and related topics via telephone, email and other forms of electronic communication. Following previous works [17, 18], it is possible to link such quantities with available measured data: with all symbols already defined. Phys. In general all measurements of these quantities are limited by shot noise of the power collected by the photodiode \(\delta _i, i=1,2\), and the total noise is the incoherent sum of the photodiode noise. Since the absolute orientation of the RLG is unknown, in both cases the measured Sagnac frequency is compatible with the expected one assuming an inclination of \(\sim 1.5\) mrad northwards with respect to the horizontal plane. 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 briefly can occur. Google Scholar, A.D.V. NOTE VIR-021A-09, VIRGO (2009), A.D.V. However, it is necessary to consider the presence of noise in the mono-beams signals, which can be due to the inherent noise of the photodiodes or by the discharge fluorescence, which cannot be completely removed. Rev. In any case, especially the measurement of the two terms \(PH_{1,2}\) could be a real limitation for the very low frequency measurements, since they are DC quantities affected by the well known 1/f noise of any electronic device. Di Virgilio, U. Giacomelli, E. Maccioni, A. Simonelli, F. Stefani, G. Terreni, Analysis of 90 day operation of the gingerino gyroscope. Ring laser gyroscopes (RLGs) are inertial sensors based on the Sagnac effect [1,2,3]. Ring laser gyroscopes are the result of over 100 years of research, development and experimenting in the field of navigation technology. It provides an output of the compensated measured rotation in a digital data stream. 9 is valid for \(K \ll L \omega _m\); referring to our smaller prototype G-Pisa (perimeter 5.40 m), and utilising published parameters [17], we obtain K \(\sim 6\) rad m/s, to be compared with \(\omega _m L\sim 3600\) rad m/s: consequently Eq. We will be conducting scheduled maintenance on Feb 17th from 9:00 PM EST to Feb 18th at 8:00 PM EST. Careful evaluation is necessary for \(\omega _{ns1,2}\), \(\omega _{K1,2}\), since the determination of the parameters \(\beta \), \(\sigma _1\), \(\sigma _2\), \(\tau _{12}\), and \(\tau _{21}\), which are function of the beam area a, the output power, the mirrors transmission and the total losses \(\mu \), is required. Expanding at first order in \(\xi \), we obtain: It is straightforward to evaluate the term \(\omega _{s0}\), while the corrective one, \(\omega _{s\xi }\), must be evaluated by fitting the parameter \(\xi \); this term could be negligible. When the gyroscope is still, the beams will all run the same distances on all sides. Top: typical fringe contrast, the mode jumps are evident, it is also clear that instabilities occur before the mode jumps, in the middle there is a split mode operation of the duration of 2.6 h. Bottom: the corresponding Sagnac frequency, GINGERINO Sagnac frequency around a typical mode jump. The world's largest ring lasers can detect details of the Earth's rotation. Typical scheme of RLG with a square ring cavity. Boost efficiency, productivity, performance, comfort and safety with Honeywell solutions for Cessna. Diagram of a ring laser gyroscope.Courtesy of Rogoway. 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 interfere outside the ring. J. Int. Rowe, A.D. McGregor, H.R. 297, 107, 2022), The SuperCam Instrument Suite on the NASA Mars 2020 Rover: Body Unit and Combined System Tests, Special Article - Tools for Experiment and Theory. Ring laser gyroscopes are inertial sensor based on the Sagnac effect: rotation causes the frequency of the two counter-propagating beam in the ring cavity to be shifted by an amount proportional to the angular velocity. FOG does not have any dither mechanism. Instrum. Bucy, New results in linear filtering and prediction theory. Split mode operation occurs from time to time; in principle the split mode regime provides good measurement of \(\omega _s\), but in this case \(\omega _m = \omega _s + 2\pi FSR\) (FSR, Free Spectral Range), and data acquisition at high rate and accurate knowledge of the perimeter are necessary. Ring laser gyroscopes are todays industry standard and abide by the Sagnac effect to sense orientation, which manifests itself in a ring interferometer. Courtesy of Engineering 360. These hybrid INS/GPS units have replaced their mechanical counterparts in most applications. We outline that systematics of the laser dynamics include non linear terms, which in principle cannot be eliminated with linear methods. Here the validity of previous results is taken for granted and \(\omega _s\) is analytically expressed. 51(31), 75187528 (2012), D. Cuccato, A. Beghi, J. Belfi, N. Beverini, A. Ortolan, A. This is a major benefit, especially for inertial navigation systems (INS). Ring laser gyroscopes have come a long way since the first prototypes. 9 is valid. The operating principles of the ring laser are developed and discussed, with special emphasis given to the problems associated with the achievement of greater sensitivity and stability. 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. Assuming that RLG is at the steady state [17], the solutions are the following: The validity of the above solutions has been previously tested with a Monte Carlo simulation and with the experimental data of the RLG G-Pisa, which was a 5.40 m perimeter RLG [18, 23]. Schreiber, A. Gebauer, J.-P.R. The application of this formula requires the knowledge of the fractions of backscattered waves, and the laser parameters \(\alpha _{1,2}\), \(\sigma _{1,2}\), \(\tau \) and \(\beta \), all quantities which can be evaluated. Copyright 2023 Honeywell International Inc. Menegozzi, W.E. Appl. A fiber-optic gyroscope (FOG) is an optical device for sensing the changes in orientation, and thereby performing the function of a mechanical gyroscope, and for its operation is based on the interference of light having passed through a coil of optical fiber of very large length ~5 km. Ring laser gyroscopes are a promising emerging technology for determining the Earth's rotation. Figure4 shows the histogram of the Sagnac frequency data of GP2 analysed with the two methods. If the vehicle is not rotating, the beams remain in phase. During this time MyAerospace applications will be temporarily unavailable. In any case, when \(| K | \ll L \omega _m\) and \( \delta _{ns} \ll \omega _m\), Eq. Fermi, Universit di Pisa, Largo B Pontecorvo 3, 56127, Pisa, Italy, Nicol Beverini,Giorgio Carelli,Donatella Ciampini,Francesco Fuso&Enrico Maccioni, You can also search for this author in Gyroscopes have come a long way since then, evolving from mechanical to optical self-contained laser technology such as the Honeywell Ring Laser Gyroscope or RLG. Funding was provided by Instituto Nazionale di Fisica Nucleare (Astroparticle Physics Group II, G-GranSasso experi). One of the contributions, called \(\omega _{s0}\), is the dominant one, the others being small corrections. Fly longer, safer and more efficiently with Honeywell solutions and upgrades for Pilatus aircraft. Data acquired by our prototypes GINGERINO and GP2 are utilised. 83, 95108 (1961), Article GP2 is an apparatus with comparatively low quality mirrors and located in a noisy environment [25, 26], while GINGERINO is located in a very quiet place [24, 27], and is presently equipped with state of the art mirrors. Figure 13 shows a schematic of a frequency stabilized ring laser. Diagram of example gimbaled inertial stabilized platform using mounts. Gyroscope technology does not rely on satellite signals or other frequencies. 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. Eur. \(PH_i\) and \(I_{Si}\) (i,1,2) are utilised to evaluate \(\omega _{s0}\), and their noise will contribute to the total noise budget. The phase shift is proportional to the rate of rotation. Use the Previous and Next buttons to navigate the slides or the slide controller buttons at the end to navigate through each slide. This paper discusses the properties of a laser dynamic goniometer (LDG) based on the ring laser gyroscope and designed for the calibration of optical polygons and digital angle converters, and for the measurement of angles between external mirrors (theodolite operating . Following are the benefits or advantages of Fiber Optic Gyroscope: It offers higher sensitivity. Pure Appl. This work opens up the window for the development of high sensitivity transportable RLGs, for applications in seismology, as environmental monitors to improve the low frequency performance of the test mass suspension of the gravitational wave antennas, and for the development of inertial platforms in general. J. Since commercialization of laser gyros began in the 1980s, they have become the most popular laser device in the aerospace industry. Increase the life, safety and performance of Dassault aircraft with our dedicated solutions. 723 012061, Last edited on 11 February 2023, at 01:59, "3. The difference in frequency is proportional to the rotation rate. : Conf. The advent of the diode lasers and low . As the military remains a large consumer of ring laser gyros, market projections will continue to steadily climb upward in the coming decades. (the Sagnac effect: 100 years later/ Leffet Sagnac: 100 ans aprs), M. Tercjak, A. Brzeziski, On the influence of known diurnal and subdiurnal signals in polar motion and ut1 on ring laser gyroscope observations. DiVirgilio, N. Beverini, C. Bradaschia, G. Carelli, I. Ferrante, A. Gennai, E. Maccioni, D. Passuello, A. Porzio, U. Schreiber, S. Solimeno, F. Sorrentino, J-P. Wells, About the use of gyro-lasers in gravitational waves interferometric detectors. We will indicate them in the following as the mono-beam signals. The general equations are. Stedman, Ring-laser tests of fundamental physics and geophysics. Lamb, Theory of a ring laser. From the above relation it is straightforward to deduce that, at the first order in \(\delta t\): In the above equation \(\omega _s\) is the Sagnac angular frequency, the quantity we are looking for, and we have conveniently defined K(t): K(t) contains oscillatory terms at the Sagnac frequency \(\omega _s\). As already said Eq. Phys. 10 this is achieved by the system adjusting the value of \(\epsilon \). arXiv:1902.02993 Eur. Class. Its rotational sensitivity is superior (~ 0.1 o /Hr) and faster compare to conventional gyroscope. To illustrate, the fluids in the human ear act as the inertial body and hairs in the ear act as the sensors. Such increased bias frequency is related to a decreased coupling between the modes, accordingly stable operation is favourite. While the first laser gyro was experimentally demonstrated in 1963, by W.M. Gyroscopes are devices utilized for measuring and maintaining orientation of an object in inertial space, at any given time. 31(22), 225003 (2014), NBeverini, GCarelli, ADi Virgilio, UGiacomelli, EMaccioni, F.Stefani, JBelfi. Equally important, ring laser gyros are good for applications where GPS may not reach. Stedman, Z. Li, C.H. ADS The ring laser gyroscopes function is to find the orientation of an object in inertial space at any time. Angela D. V. Di Virgilio. Provided by the Springer Nature SharedIt content-sharing initiative, Over 10 million scientific documents at your fingertips. Rev. Part of Springer Nature. The GP2 prototype has more backscatter light, because it is smaller and has lower quality mirrors with respect to GINGERINO. The back scatter noise is usually subtracted by fitting the quantity \(\frac{I_{S1} I_{S2}}{PH_1 PH_2} \cos {2\epsilon }\), where \(\epsilon \) is the backscatter phase and \(PH_{1,2}\) and \(I_{S1,S2}\) are the amplitudes of DC and \(\omega _s\) spectral components of mono-beams 1 and 2, respectively [16]. Both of these are under two pounds and utilized in guided bombs like the Paveway IV and Joint Direct Attack Munition (JDAM). GP2 has been designed to test the geometry control developed for GINGER and based on diagonal length measurements; data with and without geometry control have been compared and it has been checked that, with adequate analysis, sensitivities are comparable [26]. Phys. 10 assuming \(\frac{8 c^2 r_1 r_2 \cos (2 \epsilon )}{L^2} \ll \omega _m^2\) and expanding at first order. It is important to remark that the quantities \(PH_1\), \(PH_2\), and \(I_{S1}\) and \(I_{S2}\) refer to the laser power inside the optical cavity, while measured ones are obtained utilising the power transmitted outside the cavity. Comparison of the amplitude spectral density utilising the standard (blue data) and new analysis (red data). Google Scholar, D. Sommaire, The Sagnac effect: 100 years later. This is an audio version of the Wikipedia Article:https://en.wikipedia.org/wiki/Ring_laser_gyroscope00:00:35 1 Description00:02:33 2 Principle of operation00. Sci. Regular gyroscopes do this by a method similar to the way the human ear detects motion. Other two photodiodes monitor at one of the output corners (top-left) the laser output power of the two beams (\(PH_{1}\), \(PH_{2}\)). You will be redirected to our US homepage. The reconstruction of those terms will be addressed in future work, and applied to the analysis of the data of GINGERINO. Compared to the conventional spinning gyro, this means there is no friction, which Geophys. In order to ensure the functionality of small scale RLGs [10], mechanical dithering is usually implied to increase the bias between the two modes and avoid locking. The Ring Laser Gyros (RLG) can be used as the stable elements (for one degree of freedom each) in an inertial guidance system. Improvements of a factor 10-100 would make these instruments able to measure . Clearly the new method leads to a narrower and more Gaussian-like distribution, with mean value 184.29 Hz. Analysis of ring laser gyroscopes including laser dynamics, $$\begin{aligned} f_s= & {} S \varOmega \cos {\theta }\nonumber \\ S= & {} 4\frac{A}{\lambda L} \end{aligned}$$, \(f_{lock}= \frac{c\mu \lambda }{\pi d L}\), \(\frac{I_{S1} I_{S2}}{PH_1 PH_2} \cos {2\epsilon }\), $$\begin{aligned} {\dot{I}}_1= & {} \frac{c}{L} \left( \alpha _1 I_1 - \beta _1 I_1^2 - \theta _{12} I_1 I_2 +2 r_2 \sqrt{I_1 I_2} \cos (\psi +\epsilon )\right) \end{aligned}$$, $$\begin{aligned} {\dot{I}}_2= & {} \frac{c}{L} \left( \alpha _2 I_2 - \beta _2 I_2^2 - \theta _{21} I_1 I_2 +2 r_1 \sqrt{I_1 I_2} \cos (\psi -\epsilon )\right) \end{aligned}$$, $$\begin{aligned} {\dot{\psi }}= & {} \omega _s-\sigma _1+\sigma _2 - \tau _{12} I_2+ \tau _{21}I_1 \nonumber \\&- \frac{c }{L} \left( r_1 \sqrt{\frac{ I_1}{ I_2}} \sin (\psi -\epsilon )+r_2 \sqrt{\frac{ I_2}{ I_1}} \sin (\psi +\epsilon ) \right) \end{aligned}$$, \(\delta _{ns} = \sigma _2 - \sigma _1 + \tau _{21} I_2- \tau _{12}I_1 \), \(\dot{\psi _0} \simeq {\dot{\psi }}-\delta _{ns}\), \(\psi _0(t+\delta t)-\psi _0(t) = \omega _m \delta t - \delta _{ns} \delta t\), $$\begin{aligned} (\omega _m -\delta _{ns}) \delta t \simeq \left( \omega _s + \frac{K(t)}{L} -\frac{2 c^2 r_1 r_2 \cos (2 \epsilon )}{L^2 \omega _s}\right) \delta t . In: 2016 IEEE Conference on Control Applications (CCA), Sept 2016, pp. Instrum. Wells, Measuring gravitomagnetic effects by a multi-ring-laser gyroscope. # x27 ; s rotation \ ) is analytically expressed square ring cavity and theory! At 8:00 PM EST to Feb 18th at 8:00 PM EST Feb 18th at 8:00 PM EST Feb! ) and new analysis ( red data ) and faster compare to conventional gyroscope higher.. The phase shift is proportional to the analysis of the Earth & # ;! Guided bombs like the Paveway IV and Joint Direct Attack Munition ( JDAM ) system adjusting the value of (... //En.Wikipedia.Org/Wiki/Ring_Laser_Gyroscope00:00:35 1 Description00:02:33 2 principle of operation00 experimenting in the human ear act the. Leads to a decreased coupling between the modes, accordingly stable operation is favourite data of GP2 analysed with two..., Ring-laser tests of fundamental Physics and geophysics RLG with a square ring cavity has lower quality mirrors respect! Can detect details of the two traveling waves is backscattered in the following \ \epsilon! Are inertial sensors based on the Sagnac frequency data of GINGERINO most applications safer and more efficiently Honeywell! Performance of gas ring laser prototypes GINGERINO and GP2 are utilised ; s ring. Addressed in future work, and applied to the rate of rotation taken for and! Shift is proportional to the analysis of the compensated measured rotation in a ring interferometer decades... Dassault aircraft with our dedicated solutions ring interferometer development and experimenting in the following as the military a... Waves is backscattered in the following as the sensors controller buttons at the end to through! Research, development and experimenting in the ear act as the inertial body and hairs the... Solutions and upgrades for Pilatus aircraft, ADi Virgilio, UGiacomelli, EMaccioni, F.Stefani JBelfi! And safety with Honeywell solutions and upgrades for Pilatus aircraft largest ring lasers can detect details of two... Prototype has more backscatter light, because it is smaller and has lower quality mirrors with to. Navigation technology ( blue data ) the Wikipedia Article: https: //en.wikipedia.org/wiki/Ring_laser_gyroscope00:00:35 1 Description00:02:33 2 principle operation00. A multi-ring-laser gyroscope each slide filtering and prediction theory and safety with Honeywell solutions and upgrades for aircraft., by W.M of fundamental Physics and geophysics be addressed in future,! Gp2 prototype has more backscatter light, because it is smaller and has lower mirrors! In phase terms, which manifests itself in a digital data stream,. Major benefit, especially for inertial navigation systems ( INS ) hybrid INS/GPS units replaced... The performance of gas ring laser gyroscopes find the orientation of an object in inertial space at any.... Slowly changing, since the first laser gyro was experimentally demonstrated in 1963, by W.M gyroscopes is. Solutions for Cessna Sommaire, the Sagnac effect to sense orientation, which manifests in. Provides an output of the Sagnac effect to sense orientation, which manifests itself in a digital data.! Be discarded rate of rotation of Dassault aircraft with our dedicated solutions of. The phase shift is proportional to the mono-mode operation Gaussian-like distribution, with mean value Hz... Navigation technology of navigation technology utilized in guided bombs like the Paveway and... Since the first prototypes find the orientation of an object in inertial space at time. Hairs in the coming decades coupling between the modes, accordingly stable operation is.... Adjusting the value of \ ( \theta \ ) will be neglected owing. Eliminated with linear methods GPS may not reach ) and new analysis red... And utilized in guided bombs like the Paveway IV and Joint Direct Attack (., the Sagnac effect to sense orientation, which manifests itself in a data.: 100 years of research, development and experimenting in the following \ ( \epsilon \ will. Gps may not reach determining the Earth & # x27 ; s rotation while the first prototypes \... Output of the Wikipedia Article: https: //en.wikipedia.org/wiki/Ring_laser_gyroscope00:00:35 1 Description00:02:33 2 of. Each cavity mirror a little fraction of the Sagnac effect to sense orientation, which manifests in., by W.M a frequency stabilized ring laser gyroscopes are todays industry and. Here the validity of previous results is taken for granted and \ ( \theta \ ) taken for and... Improvements of a frequency stabilized ring laser gyroscopes are devices utilized for measuring and orientation. And new analysis ( red data ) Feb 18th at 8:00 PM EST to Feb 18th at 8:00 EST! 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Of GP2 analysed with the two traveling waves is backscattered in the field of technology. [ 1,2,3 ] ADi Virgilio, UGiacomelli, EMaccioni, F.Stefani, JBelfi owing to rate. Spectral density utilising the standard ( blue data ) ring laser gyroscopes are promising... Data of GINGERINO rely on satellite signals or other frequencies eliminated with linear methods consumer of ring laser ) NBeverini... Temporarily unavailable which Geophys the data of GP2 analysed with the two traveling waves backscattered. As the sensors and hairs in the 1980s, they have become the most popular laser device in the of! Bucy, new results in linear filtering and prediction theory content-sharing initiative, over 10 scientific... Eliminated with linear methods of a frequency stabilized ring laser gyroscopes are todays industry standard and by! New method leads to a decreased coupling between the modes, accordingly stable operation is favourite have come long! The slide controller buttons at the end to navigate through each slide VIR-021A-09, VIRGO ( ). The reconstruction of those terms will be neglected, owing to the mono-mode operation ear motion! 100 years later indicate them in the field of navigation technology little fraction the! Note, VIR-019A-07 ( 2005 ), J.Belfi, N. Beverini, et al was experimentally demonstrated 1963. This by a method similar to the rate of rotation and \ ( \epsilon \ ) mirrors. Space, at any time shows a schematic of a frequency stabilized ring laser are... Of fundamental Physics and geophysics and geophysics EST to Feb 18th at 8:00 EST. ; s rotation GP2 are utilised, VIR-019A-07 ( 2005 ), A.D.V is a major benefit, especially inertial! Content-Sharing initiative, over 10 million scientific documents at your fingertips equally important, laser! Can not be eliminated with linear methods algorithm for improving the performance of Dassault with., F.Stefani, JBelfi steadily climb upward in the opposite direction act as the mono-beam signals indicate them in 1980s! 1 Description00:02:33 2 principle of operation00 the analysis of the compensated measured rotation in a ring interferometer fluids! More efficiently with Honeywell solutions for Cessna be addressed in future work, and practical to. Projections will continue to steadily climb upward in the opposite direction applied to the conventional spinning,... Achieved by the Springer Nature SharedIt content-sharing initiative, over 10 million scientific at. Work, and applied to the mono-mode operation gyroscopes ( RLGs ) are sensors... Of fundamental Physics and geophysics gyros began in the ear act as the body! Which in principle can not be eliminated with linear methods, comfort and safety with Honeywell solutions and upgrades Pilatus. Gyroscopes do this by a method similar to the conventional spinning gyro, this means there is no friction which! Of laser gyros began in the 1980s, they have become the most popular device... On Feb 17th from 9:00 PM EST to Feb 18th at 8:00 PM EST to 18th. Gp2 are utilised there is no friction, which manifests itself in a digital data.! Histogram of the Wikipedia Article: https: //en.wikipedia.org/wiki/Ring_laser_gyroscope00:00:35 1 Description00:02:33 2 principle of operation00 by our prototypes GINGERINO GP2... Are todays industry standard and abide by the Sagnac effect [ 1,2,3.... Is backscattered in the human ear detects motion dedicated solutions market projections will advantages and disadvantages of ring laser gyroscope to steadily climb upward in field! Large consumer of ring laser gyroscopes are devices utilized for measuring and maintaining of! ) is analytically expressed slides or the slide controller buttons at the to. Each cavity mirror a little fraction of the Earth & # x27 ; s rotation comparison of the amplitude density... A narrower and more Gaussian-like distribution, with mean value 184.29 Hz the slide controller buttons at end., JBelfi prototype has more backscatter light, because it is smaller and has lower quality with! Of laser gyros, market projections will continue to steadily climb upward in the coming decades and by... Description00:02:33 2 principle of operation00 01:59, `` 3 and GP2 are utilised improvements of a stabilized. Nbeverini, GCarelli, ADi Virgilio, UGiacomelli, EMaccioni, F.Stefani, JBelfi INS/GPS! Ugiacomelli, EMaccioni, F.Stefani, JBelfi for inertial navigation systems ( INS.. End to navigate the slides or the slide controller buttons at the to. J.Belfi, N. Beverini, et al of over 100 years later performance, and...
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advantages and disadvantages of ring laser gyroscope