Ring interferometer 950 m long

Vali, V.; Shorthill, R. W.

doi:10.1364/ao.16.000290

Cited by 36 publications

(12 citation statements)

References 2 publications

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“…On resonance, condition ϕ þ ϕ c ðÞ ¼ 2 π m is fulfilled, where m is an integer, and then Eqs. (7) and (8) becomes:…”

Section: Analysis Of the Fiber-optic All-pass Filter Ring Resonator Cmentioning

confidence: 99%

“…However, quantitative analytic treatment of a fiber optic passive ring resonator interferometer (FOPRRI) can be rather found in singular applications, particularly, in gyroscopes. A clear proof of it is that one of the pioneering and singular descriptions of fiberoptic ring interferometer devices was in 1976 when Vali and Shorthill designed the first fiber-optic gyroscope model [5][6][7]. Later, many other authors studied in detail this first design and improved some of its electro-optical parameters [8,9].…”

Section: Introductionmentioning

confidence: 99%

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Fiber-Optic Ring Resonator Interferometer

Menéndez¹

2019

Interferometry - Recent Developments and Contemporary Applications

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In this chapter, theoretical analysis and electro-optical characterization of a fiber optic passive ring resonator interferometer (FOPRRI) were realized. First, a theoretical description and analysis of all-pass and add-drop filter configurations were performed, hence obtaining their respective transfer function, taking into account, the physical properties of a standard single-mode optical fiber as resonator constitutive material. Second, computational numerical simulations of a typical FOPRRI were performed with different analysis methods: effective index method (EIM), coupled mode theory (CMT), finite element method (FEM) and finite difference time domain (FDTD). Third, a comparative analysis of the results obtained with these methods is realized, showing the most accurate and appropriate for filter electro-optical characterization as a consequence. Last, and as an ultimate step, taking as reference the previously obtained electro-optical characterization for both configurations, the main applications are derived.

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“…On resonance, condition ϕ þ ϕ c ðÞ ¼ 2 π m is fulfilled, where m is an integer, and then Eqs. (7) and (8) becomes:…”

Section: Analysis Of the Fiber-optic All-pass Filter Ring Resonator Cmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fiber-Optic Ring Resonator Interferometer

Menéndez¹

2019

Interferometry - Recent Developments and Contemporary Applications

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“…Immediately after the development of the fiber ring interferometry in 1976 [47], it was discovered that a fairly large phase shift of the interference pattern of two counterpropagating waves occurs at the interferometer output; this so-called zero shift is not connected with rotation [48]. The cause of this phenomenon is the polarization nonreciprocity of the FRI contour; however, this effect was unknown at the time, not only to experts in fiber gyroscopes, but even to those who worked in polarization optics.…”

Section: Review Of the Literature Emergence Of The Concepts Of Geomementioning

confidence: 99%

Geometric phases in singlemode fiber lightguides and fiber ring interferometers

Malykin¹,

Pozdnyakova²

2004

Phys.-Usp.

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We consider various geometric phases (GPs) in singlemode fiber lightguides (SMFs) and in fiber ring interferometers (FRIs): the Pancharatnam phase stemming from the cyclic evolution of the polarization state of radiation (RP state) in SMF, the Rytov ± Vladimirski|¯phase (RV phase) stemming from the Rytov effect (specifically, rotation of the polarization plane due to noncoplanar winding of SMFs), as well as the nonreciprocal phase difference of counterpropagating waves (NPDCW) and nonreciprocal geometric phase of counterpropagating waves (NGPCW), which are caused by polarization nonreciprocity (PN) in FRIs. We show that in the general case, the Pancharatnam phase for an arbitrary RP state is inconsistent with the real phase change of light fluctuations in media that possess not only circular but also linear birefringence. We show that the RV phase, having a geometric origin, can in principle be considered as a dynamic phase (DP). We also show that the NGPCW can be considered as an effect of the evolution of the RP state mapped on the PoincareÂ sphere in Ginzburg's orthogonal screw polarization modes (GSPMs) of SMFs in the FRI contour. We analyze a number of experiments in which geometric phases were detected in FRIs: changing the RV phase and Rytov's angle (RA) in response to change of the pitch of helicoidal winding of SMFs. Contents 4.1 Kinematic phase in SMFs; 4.2 Linear birefringence of SMFs induced by bending; 4.3 Circular birefringence in SMFs induced by twisting. Ginzburg's screw polarization modes 5. The Rytov effect and Rytov ± Vladimirski|¯phase in SMFs and FRIs in the case of noncoplanar winding 297 5.1 The Rytov effect in a singlemode fiber lightguide of FRIs; 5.2 Similarities between the Rytov effect in polarization optics and the Ishlinski|¯effect in classical mechanics. Parallel vector translation. Noncommutativity of finite rotations; 5.3 The Rytov ± Vladimirski|¯phase and the Pancharatnam phase of the second kind in SMFs with noncoplanar winding 6. Polarization nonreciprocity in FRIs and the nonreciprocal geometric phase of counterpropagating waves 300 6.1 Polarization nonreciprocity in FRIs; 6.2 Nonreciprocal geometric phase of counterpropagating waves in FRIs 7. Analysis of experiments on recording the geometric phase in FRIs 303 7.1 Parameters of fiber ring interferometers on which measurements were conducted; 7.2 Analysis of experimental results 8. Unfounded hypotheses related to geometric phases in FRIs 305 9. Conclusion 305 References 306

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“…13. ACKNOWLEDGMENTS. It is a pleasure to acknowledge the many helpful discussions with colleagues at the Admiralty Compass Observatory, staff of a number of Universities and members of industrial organizationstoo numerous to list but greatly valued nonetheless.…”

Section: T Tmentioning

confidence: 99%

“…10 Spinning masses do not, however, have the monopoly of rotation sensitivity. The tuning fork, 11 ring laser, 13 fibre-optic interferometer, 13 superfluid mass 14 and superconducting gyro 16 have all received attention as potential sensors. So also has the phenomenon of nuclear magnetic resonance.…”

mentioning

confidence: 99%

A Cryogenic Nuclear Magnetic Resonance Gyroscope

Potts¹,

Preston²

1981

J. Navigation

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Any device having a property which varies as a result of its being rotated in space can, in principle, be used as the primary sensor of an inertial navigation system. A wide range of devices and properties has received attention with this aim in view. The spinning-wheel gyroscope has, to date, proved the most fruitful but a number of ‘exotic’ types of gyro show promise. The discovery that the atomic nucleus can, under certain conditions, behave like a spinning mass gave birth to ideas of a nuclear gyro of some sort. The further discovery that some nuclei possess magnetic properties opened the way to nuclear magnetic resonance and offered a method of communicating with the minute spinning masses.

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Ring interferometer 950 m long

Cited by 36 publications

References 2 publications

Fiber-Optic Ring Resonator Interferometer

Fiber-Optic Ring Resonator Interferometer

Geometric phases in singlemode fiber lightguides and fiber ring interferometers

A Cryogenic Nuclear Magnetic Resonance Gyroscope

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