Fiber-optic Sagnac interferometer for the observation of Berry's topological phase

Senthilkumaran, P.; Culshaw, Brian; Thursby, Graham

doi:10.1364/josab.17.001914

Cited by 22 publications

(28 citation statements)

References 22 publications

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“…(6) and (9), it can be seen that the polarization orientation rotates with a specific rotation τ around the tangent vector in the Frenet-Serret coordinates as the polarized light propagates along a nonplanar curve Λτ ≠ 0; the polarization orientation will rotate oppositely and ultimately restore when the light is reflected back by the mirror at the end of the fiber and propagates along the opposite direction. This rotation verified by experimental result [25] introduces the reciprocal CB to the optical fiber shaping into the nonplanar curve. This property can be utilized to design the sensing coil of the FOCS, and the effects of the LB in the sensing coil can be suppressed by the reciprocal CB yielded by bending the sensing fiber into a nonplanar geometric coil.…”

Section: A Geometric Rotation Effectsupporting

confidence: 66%

Design principle for sensing coil of fiber-optic current sensor based on geometric rotation effect

Zhang

Wang

et al. 2012

Appl. Opt.

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The design principle exploiting the geometric rotation effect for the sensing coil of the fiber-optic current sensor (FOCS) on the basis of the polarization-rotated reflection interferometer is investigated. The sensing coil is formed by winding the low birefringence single-mode optical fiber in a toroidal spiral. The effects of the linear birefringence on the scale factor of the sensor can be suppressed with the reciprocal circular birefringence by appropriately designing the geometric parameters of the sensing coil. When the rated current is 1200 A(rms), the designed sensing coil can ensure the scale factor error of the sensor to satisfy the requirements of the 0.2 S class specified in IEC60044-8 over a temperature range from -40 °C to 60 °C.

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Section: A Geometric Rotation Effectsupporting

confidence: 66%

Design principle for sensing coil of fiber-optic current sensor based on geometric rotation effect

Zhang

Wang

et al. 2012

Appl. Opt.

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“…For an arbitrary θ, however, M is a function of α, being 1 for α = 0 as in refs. [16,17]. A simple equivalent of the tunable fiber optic mirror in the context of conventional, nonfiber interferometry is shown in fig.3.…”

Section: The Tunable Fiber Optic Mirrormentioning

confidence: 99%

Light propagation through a coiled optical fiber and Pancharatnam phase

Bhandari

2007

J. Opt. Soc. Am. B

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The nature of changes in the interference pattern caused by the presence of polarization-changing elements in one or both beams of an interferometer, in particular those caused by an effective optical activity due to passage of a polarized beam through a coiled optical fiber are clarified. It is pointed out that for an incident state that is not circularly polarized so that the two interfering beams go to different polarization states, there is an observable nonzero Pancharatnam phase shift between them which depends on the incident polarization state and on the solid angle subtended by the track of the k-vector at the centre of the sphere of k-vectors. The behaviour of this phase shift is singular when the two interfering states are nearly orthogonal. It is shown that for zero path difference between the two beams, the amplitude of intensity modulation as a function of optical activity is independent of the incident polarization state.

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“…We now consider the results of experiments [26 ± 28] that recorded changes in the phase on the interference pattern [26] and in light intensity [27,28] at the FRI output in response to a change in the pitch of the helicoidal winding of a singlemode fiber lightguide.…”

Section: Analysis Of Experiments On Recording the Geometric Phase In mentioning

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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Fiber-optic Sagnac interferometer for the observation of Berry's topological phase

Cited by 22 publications

References 22 publications

Design principle for sensing coil of fiber-optic current sensor based on geometric rotation effect

Design principle for sensing coil of fiber-optic current sensor based on geometric rotation effect

Light propagation through a coiled optical fiber and Pancharatnam phase

Geometric phases in singlemode fiber lightguides and fiber ring interferometers

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